id	sid	eid	entity	type
ma-134	1	1	2023	CARDINAL
ma-134	2	1	j. math	PERSON
ma-134	4	1	3 (	CARDINAL
ma-134	4	2	2023	CARDINAL
ma-134	5	1	10.28924	CARDINAL
ma-134	5	2	zhang1	PRODUCT
ma-134	5	3	john michael rassias2	PERSON
ma-134	5	4	1school	CARDINAL
ma-134	5	5	zhuhai	GPE
ma-134	5	6	sun yat-sen university	PERSON
ma-134	5	7	zhuhai	GPE
ma-134	5	8	519082	DATE
ma-134	5	9	china	GPE
ma-134	5	10	zhangdw25@mail2.sysu.edu.cn 2national	GPE
ma-134	5	11	kapodistrian university of athens	ORG
ma-134	5	12	15342	DATE
ma-134	5	13	greece	GPE
ma-134	5	14	3school	DATE
ma-134	5	15	246133	DATE
ma-134	5	16	china	GPE
ma-134	5	17	sun yat-sen university	PERSON
ma-134	5	18	guangzhou	GPE
ma-134	5	19	510275	DATE
ma-134	6	1	china	GPE
ma-134	7	1	more than ten years	DATE
ma-134	7	2	justyna sikorska	PERSON
ma-134	7	3	8	CARDINAL
ma-134	8	1	justyna sikorska	PERSON
ma-134	12	1	1	CARDINAL
ma-134	12	2	s.m. ulam	PERSON
ma-134	12	3	d.h.	GPE
ma-134	13	1	1–3	CARDINAL
ma-134	14	1	the last decades	DATE
ma-134	14	2	4–7	CARDINAL
ma-134	15	1	10	CARDINAL
ma-134	15	2	invariant meanapproach	ORG
ma-134	17	1	15 sep	CARDINAL
ma-134	18	1	2022	CARDINAL
ma-134	21	1	j. math	PERSON
ma-134	23	1	10.28924	CARDINAL
ma-134	25	1	8	CARDINAL
ma-134	33	1	1.1	CARDINAL
ma-134	33	2	1.1	CARDINAL
ma-134	33	3	hilbert spacein	PERSON
ma-134	33	4	15	CARDINAL
ma-134	35	1	m. fréchet	PERSON
ma-134	35	2	16	CARDINAL
ma-134	36	1	17	CARDINAL
ma-134	37	1	1.1	CARDINAL
ma-134	38	1	8	CARDINAL
ma-134	38	2	methodwas	PERSON
ma-134	38	3	1.1	CARDINAL
ma-134	38	4	1.1)must	CARDINAL
ma-134	39	1	11	CARDINAL
ma-134	39	2	12	CARDINAL
ma-134	39	3	normed	ORG
ma-134	40	1	13	CARDINAL
ma-134	40	2	14	CARDINAL
ma-134	44	1	j. math	PERSON
ma-134	46	1	10.28924	CARDINAL
ma-134	46	2	3	CARDINAL
ma-134	46	3	section 2	LAW
ma-134	46	4	2.1	CARDINAL
ma-134	46	5	8	CARDINAL
ma-134	47	1	1.1	CARDINAL
ma-134	47	2	2.1	CARDINAL
ma-134	47	3	8	CARDINAL
ma-134	49	1	2	CARDINAL
ma-134	49	2	2.1	CARDINAL
ma-134	49	3	8	CARDINAL
ma-134	49	4	2.1	CARDINAL
ma-134	50	1	first	ORDINAL
ma-134	51	1	section 3	LAW
ma-134	52	1	first	ORDINAL
ma-134	53	1	2.1	CARDINAL
ma-134	53	2	2.1	CARDINAL
ma-134	53	3	0,∞	DATE
ma-134	54	1	∑∞n=0	PERSON
ma-134	55	1	|un|	DATE
ma-134	56	1	1	CARDINAL
ma-134	56	2	un	ORG
ma-134	56	3	0	CARDINAL
ma-134	57	1	n ∈ n(em	ORG
ma-134	59	1	6	CARDINAL
ma-134	59	2	|ui	LANGUAGE
ma-134	60	1	2.2	CARDINAL
ma-134	61	1	6	CARDINAL
ma-134	61	2	2.3	CARDINAL
ma-134	62	1	|ui	LANGUAGE
ma-134	63	1	first	ORDINAL
ma-134	63	2	n ∈ n	ORG
ma-134	63	3	+ vun	PERSON
ma-134	64	1	vn+m	PERSON
ma-134	65	1	2.4	CARDINAL
ma-134	66	1	j. math	PERSON
ma-134	68	1	10.28924	CARDINAL
ma-134	68	2	4from	CARDINAL
ma-134	68	3	un	ORG
ma-134	69	1	first	ORDINAL
ma-134	69	2	2.1	CARDINAL
ma-134	69	3	2.3	CARDINAL
ma-134	69	4	2.3	CARDINAL
ma-134	70	1	n + 1	PRODUCT
ma-134	70	2	2.1	CARDINAL
ma-134	71	1	6	CARDINAL
ma-134	75	1	6	CARDINAL
ma-134	75	2	|ui	LANGUAGE
ma-134	79	1	n∑ i=0	PERSON
ma-134	80	1	|ui	LANGUAGE
ma-134	82	1	|ui	LANGUAGE
ma-134	83	1	2.3	CARDINAL
ma-134	84	1	n→∞	CARDINAL
ma-134	86	1	+ vnf	PERSON
ma-134	86	2	2.5	CARDINAL
ma-134	89	1	n→∞	DATE
ma-134	92	1	n→∞	CARDINAL
ma-134	94	1	n→∞	DATE
ma-134	96	1	−en+1(x	PERSON
ma-134	99	1	ung	PERSON
ma-134	100	1	+ vng (−en(x	PERSON
ma-134	100	2	al l x	PERSON
ma-134	100	3	2.6	CARDINAL
ma-134	100	4	k ≤ n	FAC
ma-134	100	5	k = n + 1	ORG
ma-134	100	6	= ung	PERSON
ma-134	101	1	+ vng (−en(x	PERSON
ma-134	107	1	−en+1(x	PERSON
ma-134	109	1	ung	PERSON
ma-134	110	1	+ vng (−en(x	PERSON
ma-134	112	1	j. math	PERSON
ma-134	114	1	10.28924	CARDINAL
ma-134	114	2	5	CARDINAL
ma-134	114	3	2.2	CARDINAL
ma-134	114	4	2.6	CARDINAL
ma-134	115	1	|ui	LANGUAGE
ma-134	117	1	un	ORG
ma-134	118	1	en(x))− ḡ (en(x	ORG
ma-134	121	1	2.4	CARDINAL
ma-134	121	2	2.6	CARDINAL
ma-134	121	3	en(x))− ḡ (	ORG
ma-134	121	4	6 2|un	CARDINAL
ma-134	121	5	|ui	LANGUAGE
ma-134	123	1	2	CARDINAL
ma-134	125	1	2	CARDINAL
ma-134	127	1	2	CARDINAL
ma-134	127	2	∣∣vj	GPE
ma-134	127	3	n ∈ n	ORG
ma-134	127	4	g = ḡ	ORG
ma-134	127	5	2.1	CARDINAL
ma-134	128	1	section 3	LAW
ma-134	128	2	2.1	CARDINAL
ma-134	128	3	8	CARDINAL
ma-134	129	1	2.1	CARDINAL
ma-134	130	1	|xn|	ORG
ma-134	133	1	2.1	CARDINAL
ma-134	135	1	−a|x |) ∥∥∥∥ 6	DATE
ma-134	136	1	2.7	CARDINAL
ma-134	136	2	∈	ORG
ma-134	136	3	1	CARDINAL
ma-134	136	4	0,∞	DATE
ma-134	137	1	∑∞i=0 1ai	ORG
ma-134	138	1	j. math	PERSON
ma-134	140	1	10.28924	CARDINAL
ma-134	142	1	+ 1 2a2	DATE
ma-134	144	1	∆(x	ORG
ma-134	144	2	1 2	CARDINAL
ma-134	144	3	1	CARDINAL
ma-134	145	1	1 2	CARDINAL
ma-134	145	2	1	CARDINAL
ma-134	146	1	∈	ORG
ma-134	146	2	n→∞	DATE
ma-134	146	3	−an|x	GPE
ma-134	147	1	2.1	CARDINAL
ma-134	147	2	1+a 2a2	CARDINAL
ma-134	147	3	1−a 2a2	DATE
ma-134	147	4	e(x	ORG
ma-134	147	5	un	ORG
ma-134	147	6	1 + a	DATE
ma-134	147	7	2a2n	CARDINAL
ma-134	147	8	1−	TIME
ma-134	147	9	∑∞i=0 1ai δ	ORG
ma-134	147	10	∈	ORG
ma-134	147	11	∑∞i=0	GPE
ma-134	147	12	2.1	CARDINAL
ma-134	147	13	6	CARDINAL
ma-134	151	1	1	CARDINAL
ma-134	156	1	2.5	CARDINAL
ma-134	158	1	2.2	CARDINAL
ma-134	158	2	1	CARDINAL
ma-134	159	1	∈	ORG
ma-134	159	2	−1	DATE
ma-134	159	3	0	CARDINAL
ma-134	159	4	1	CARDINAL
ma-134	159	5	2.7	CARDINAL
ma-134	161	1	∑∞i=0 1|a|i	ORG
ma-134	163	1	2.2	CARDINAL
ma-134	165	1	−a|x |) ∥∥∥∥ 6	DATE
ma-134	166	1	j. math	PERSON
ma-134	168	1	10.28924	CARDINAL
ma-134	168	2	∈	ORG
ma-134	168	3	1	CARDINAL
ma-134	168	4	0	CARDINAL
ma-134	169	1	6	CARDINAL
ma-134	171	1	∆(x	ORG
ma-134	176	1	n→∞	CARDINAL
ma-134	176	2	+ 1 2a2n	DATE
ma-134	176	3	|a|n|x |)− |a|n	ORG
ma-134	176	4	1 2a2n	CARDINAL
ma-134	178	1	2.3	CARDINAL
ma-134	178	2	2.1	CARDINAL
ma-134	178	3	2.2	CARDINAL
ma-134	178	4	∈	ORG
ma-134	178	5	1	CARDINAL
ma-134	179	1	1a	CARDINAL
ma-134	180	1	2.7	CARDINAL
ma-134	180	2	second	ORDINAL
ma-134	181	1	2.3	CARDINAL
ma-134	181	2	∈	ORG
ma-134	181	3	1	CARDINAL
ma-134	182	1	2	CARDINAL
ma-134	182	2	1	CARDINAL
ma-134	182	3	2	CARDINAL
ma-134	182	4	6 δ(x	PERSON
ma-134	182	5	0,∞	TIME
ma-134	182	6	∑∞i=0	EVENT
ma-134	182	7	1ai	ORDINAL
ma-134	182	8	2	CARDINAL
ma-134	182	9	1	CARDINAL
ma-134	182	10	2	CARDINAL
ma-134	186	1	n→∞	CARDINAL
ma-134	186	2	2	CARDINAL
ma-134	186	3	1	CARDINAL
ma-134	186	4	2	CARDINAL
ma-134	187	1	2.1	CARDINAL
ma-134	187	2	2	CARDINAL
ma-134	187	3	2	CARDINAL
ma-134	188	1	1	CARDINAL
ma-134	188	2	un	ORG
ma-134	188	3	2	CARDINAL
ma-134	188	4	2	CARDINAL
ma-134	188	5	2iδ	ORDINAL
ma-134	188	6	1	CARDINAL
ma-134	189	1	the series∑∞ i=0	ORG
ma-134	189	2	2i−1δ	CARDINAL
ma-134	189	3	1	CARDINAL
ma-134	190	1	j. math	PERSON
ma-134	192	1	10.28924	CARDINAL
ma-134	192	2	6	CARDINAL
ma-134	193	1	2 ∣∣∣∣ δ	QUANTITY
ma-134	193	2	1	CARDINAL
ma-134	194	1	2	CARDINAL
ma-134	194	2	1	CARDINAL
ma-134	195	1	1	CARDINAL
ma-134	196	1	2	CARDINAL
ma-134	196	2	1	CARDINAL
ma-134	197	1	1	CARDINAL
ma-134	201	1	2.5	CARDINAL
ma-134	203	1	2.4	CARDINAL
ma-134	203	2	2.3	CARDINAL
ma-134	204	1	two	CARDINAL
ma-134	204	2	2.1	CARDINAL
ma-134	208	1	3	CARDINAL
ma-134	208	2	∈	ORG
ma-134	208	3	first	ORDINAL
ma-134	208	4	two	CARDINAL
ma-134	210	1	2.1	CARDINAL
ma-134	210	2	rome	GPE
ma-134	212	1	8	CARDINAL
ma-134	213	1	3.1	CARDINAL
ma-134	218	1	3.1	CARDINAL
ma-134	219	1	6	CARDINAL
ma-134	219	2	2β2)k	CARDINAL
ma-134	226	1	3.2	CARDINAL
ma-134	228	1	3.1	CARDINAL
ma-134	228	2	3x	CARDINAL
ma-134	229	1	+ 3f	CARDINAL
ma-134	229	2	3f	CARDINAL
ma-134	229	3	2x)‖	CARDINAL
ma-134	229	4	6 3k	CARDINAL
ma-134	231	1	j. math	PERSON
ma-134	233	1	10.28924	CARDINAL
ma-134	233	2	3x	CARDINAL
ma-134	234	1	+ 6f	DATE
ma-134	234	2	6f	CARDINAL
ma-134	234	3	2x)‖	CARDINAL
ma-134	234	4	6 3	TIME
ma-134	234	5	2β2k	CARDINAL
ma-134	235	1	2x	CARDINAL
ma-134	235	2	3.1	CARDINAL
ma-134	235	3	4x	CARDINAL
ma-134	236	1	3x)‖ 6	CARDINAL
ma-134	236	2	2 + 2rβ1)k	DATE
ma-134	237	1	two	CARDINAL
ma-134	237	2	4x	CARDINAL
ma-134	238	1	6f	CARDINAL
ma-134	238	2	2x)‖ 6	CARDINAL
ma-134	238	3	2 + 2rβ1 + 3	DATE
ma-134	238	4	2β2)k	CARDINAL
ma-134	239	1	3.3	CARDINAL
ma-134	240	1	∈	ORG
ma-134	241	1	6	CARDINAL
ma-134	241	2	2β2)k	CARDINAL
ma-134	242	1	3.4	CARDINAL
ma-134	242	2	∈	ORG
ma-134	243	1	‖g(2nx)/2n	ORG
ma-134	244	1	6	CARDINAL
ma-134	244	2	2 + 2rβ1 + 3	DATE
ma-134	244	3	2β2)k 2jβ1r 2β22jβ2	QUANTITY
ma-134	244	4	3.5	CARDINAL
ma-134	244	5	n ∈ n	ORG
ma-134	244	6	∈	ORG
ma-134	245	1	n→∞	DATE
ma-134	245	2	∈	ORG
ma-134	246	1	n →∞	ORG
ma-134	246	2	3.4	CARDINAL
ma-134	246	3	6	CARDINAL
ma-134	247	1	3.6	CARDINAL
ma-134	247	2	φ	ORG
ma-134	248	1	3.1	CARDINAL
ma-134	248	2	2x	CARDINAL
ma-134	248	3	2x + y)‖ 6 k	QUANTITY
ma-134	249	1	3.1	CARDINAL
ma-134	249	2	2x	CARDINAL
ma-134	252	1	3.1	CARDINAL
ma-134	253	1	+ 2f	CARDINAL
ma-134	253	2	2y)− 2f	CARDINAL
ma-134	255	1	j. math	PERSON
ma-134	257	1	10.28924	CARDINAL
ma-134	257	2	three	CARDINAL
ma-134	260	1	1 2β2n	CARDINAL
ma-134	260	2	2n+1x + 2n+1y	MONEY
ma-134	261	1	+ 4f	CARDINAL
ma-134	261	2	2nx	ORDINAL
ma-134	262	1	2ny)−	CARDINAL
ma-134	262	2	2n+1x)−	CARDINAL
ma-134	262	3	2n+1y)− 4f	CARDINAL
ma-134	262	4	lim	ORG
ma-134	262	5	1 2β2n	CARDINAL
ma-134	262	6	2n+1x + 2n+1y	MONEY
ma-134	263	1	2nx	ORDINAL
ma-134	264	1	2ny)−	CARDINAL
ma-134	264	2	2n+1x + 2ny)−	DATE
ma-134	264	3	2n+1y	CARDINAL
ma-134	265	1	1 2β2n	CARDINAL
ma-134	265	2	2n+1x + 2ny	DATE
ma-134	266	1	2nx	ORDINAL
ma-134	267	1	2ny)−	CARDINAL
ma-134	267	2	2n+1x)− 2f	CARDINAL
ma-134	267	3	2nx	ORDINAL
ma-134	268	1	1 2β2n	CARDINAL
ma-134	268	2	2nx + 2n+1y	QUANTITY
ma-134	269	1	2nx	ORDINAL
ma-134	270	1	2ny)−	CARDINAL
ma-134	270	2	2n+1y)− 2f	CARDINAL
ma-134	270	3	2nx + 2ny	DATE
ma-134	270	4	6 lim	QUANTITY
ma-134	270	5	n→∞	DATE
ma-134	272	1	φ	ORG
ma-134	273	1	6	CARDINAL
ma-134	276	1	2β2)k	CARDINAL
ma-134	277	1	2β2	CARDINAL
ma-134	278	1	φ	ORG
ma-134	278	2	2β2)k	CARDINAL
ma-134	278	3	2β2	CARDINAL
ma-134	279	1	1 2 φ(2nx))/4n‖	QUANTITY
ma-134	279	2	2β1r j 22β2j	TIME
ma-134	279	3	2 + 2rβ1 + 3	DATE
ma-134	280	1	2β2	CARDINAL
ma-134	281	1	ψ(x	ORG
ma-134	282	1	n→∞	DATE
ma-134	283	1	2 + 2rβ1 + 3	DATE
ma-134	283	2	2β2)k	CARDINAL
ma-134	283	3	2β2)(2β1r	CARDINAL
ma-134	283	4	22β2	CARDINAL
ma-134	284	1	6	CARDINAL
ma-134	284	2	φ(2nx))/4n‖+	ORG
ma-134	284	3	j 22β2j	PERSON
ma-134	284	4	2 + 2rβ1 + 3	DATE
ma-134	284	5	2β2)k 22β2(2β1r	CARDINAL
ma-134	284	6	2β2	CARDINAL
ma-134	285	1	j. math	PERSON
ma-134	287	1	10.28924	CARDINAL
ma-134	287	2	11which	CARDINAL
ma-134	288	1	3.2	CARDINAL
ma-134	288	2	1 4n	CARDINAL
ma-134	288	3	2nx + 2ny + 2nz	DATE
ma-134	289	1	2nx	ORDINAL
ma-134	290	1	2ny	ORDINAL
ma-134	291	1	2nz)−	CARDINAL
ma-134	291	2	2nx + 2ny)−	DATE
ma-134	291	3	2nz	ORDINAL
ma-134	291	4	2nx + 2nz)‖ 6	DATE
ma-134	291	5	4n	CARDINAL
ma-134	292	1	3.7	CARDINAL
ma-134	292	2	n →∞	ORG
ma-134	293	1	3.1	CARDINAL
ma-134	293	2	3.2	CARDINAL
ma-134	293	3	6	CARDINAL
ma-134	293	4	2β2)k	CARDINAL
ma-134	293	5	∈	ORG
ma-134	300	1	3.8	CARDINAL
ma-134	302	1	3.3	CARDINAL
ma-134	302	2	2g	QUANTITY
ma-134	302	3	2	CARDINAL
ma-134	302	4	6	CARDINAL
ma-134	302	5	2β2)k	CARDINAL
ma-134	303	1	2n	CARDINAL
ma-134	303	2	− 2mg	QUANTITY
ma-134	303	3	2	CARDINAL
ma-134	303	4	6	CARDINAL
ma-134	304	1	2 + 2rβ1 + 3	DATE
ma-134	304	2	2β2)k	CARDINAL
ma-134	304	3	n ∈ n	ORG
ma-134	304	4	∈	ORG
ma-134	305	1	2ng	ORDINAL
ma-134	305	2	yfor	GPE
ma-134	306	1	∈	ORG
ma-134	307	1	lim	PERSON
ma-134	307	2	n→∞	DATE
ma-134	307	3	2ng	ORDINAL
ma-134	307	4	2n	CARDINAL
ma-134	307	5	∈	ORG
ma-134	310	1	3.2	CARDINAL
ma-134	310	2	9	CARDINAL
ma-134	311	1	3.2	CARDINAL
ma-134	313	1	3.1	CARDINAL
ma-134	313	2	3.6	CARDINAL
ma-134	313	3	2nx)/22n	CARDINAL
ma-134	313	4	2β1r j 22β2j	TIME
ma-134	313	5	2 + 2rβ1 + 3	DATE
ma-134	313	6	2β2)k 22β2(2β1r	CARDINAL
ma-134	313	7	2β2	CARDINAL
ma-134	314	1	ψ(x	ORG
ma-134	315	1	n→∞	DATE
ma-134	316	1	2nx)/22n	CARDINAL
ma-134	317	1	j. math	PERSON
ma-134	319	1	10.28924	CARDINAL
ma-134	320	1	2 + 2rβ1 + 3	DATE
ma-134	320	2	2β2)k	CARDINAL
ma-134	320	3	2β2)(2β1r	CARDINAL
ma-134	320	4	22β2	CARDINAL
ma-134	321	1	two	CARDINAL
ma-134	322	1	first	ORDINAL
ma-134	322	2	= k2ψ(x	PERSON
ma-134	322	3	∈	ORG
ma-134	325	1	2	CARDINAL
ma-134	326	1	3.1	CARDINAL
ma-134	326	2	‖3f	GPE
ma-134	327	1	2x)‖	CARDINAL
ma-134	327	2	6 3k	CARDINAL
ma-134	327	3	∈	ORG
ma-134	327	4	4f	CARDINAL
ma-134	328	1	2x)‖ 6	CARDINAL
ma-134	328	2	2 + 2rβ1 + 3	DATE
ma-134	328	3	2β2)k	CARDINAL
ma-134	328	4	3.1	CARDINAL
ma-134	329	1	2nand	CARDINAL
ma-134	334	1	3.9	CARDINAL
ma-134	334	2	3.7	CARDINAL
ma-134	334	3	ψ(2x	ORG
ma-134	335	1	4ψ(x	CARDINAL
ma-134	336	1	∈	ORG
ma-134	337	1	2	CARDINAL
ma-134	337	2	n ≤ 2k	FAC
ma-134	337	3	k ≥ 1	ORG
ma-134	337	4	+ 1)x	DATE
ma-134	338	1	kx	PERSON
ma-134	338	2	3.7	CARDINAL
ma-134	339	1	4k2 + 2(k + 1)2	DATE
ma-134	339	2	− 2k2	PERSON
ma-134	339	3	1)ψ(x	CARDINAL
ma-134	339	4	2k + 1)2ψ(x	DATE
ma-134	340	1	= k2ψ(x	PERSON
ma-134	340	2	∈	ORG
ma-134	341	1	φ	ORG
ma-134	343	1	6	CARDINAL
ma-134	343	2	k2‖x‖r2	ORG
ma-134	344	1	j. math	PERSON
ma-134	346	1	10.28924	CARDINAL
ma-134	346	2	∈	ORG
ma-134	349	1	6‖u(xk)−	CARDINAL
ma-134	349	2	2β2)k	CARDINAL
ma-134	349	3	2β2	CARDINAL
ma-134	351	1	∈	ORG
ma-134	355	1	2β2)k	CARDINAL
ma-134	355	2	3.2	CARDINAL
ma-134	355	3	φ	ORG
ma-134	355	4	3.7	CARDINAL
ma-134	357	1	2n	CARDINAL
ma-134	357	2	2n	CARDINAL
ma-134	357	3	0.otherwise	CARDINAL
ma-134	357	4	zero	CARDINAL
ma-134	358	1	3.2	CARDINAL
ma-134	359	1	4	CARDINAL
ma-134	360	1	2.1	CARDINAL
ma-134	360	2	8	CARDINAL
ma-134	361	1	2010	DATE
ma-134	363	1	first	ORDINAL
ma-134	363	2	section 2	LAW
ma-134	363	3	first	ORDINAL
ma-134	363	4	8	CARDINAL
ma-134	366	1	4.1	CARDINAL
ma-134	366	2	∈	ORG
ma-134	366	3	0,∞	DATE
ma-134	366	4	∞∑ n=0	PERSON
ma-134	367	1	|un|	DATE
ma-134	367	2	1	CARDINAL
ma-134	367	3	un	ORG
ma-134	367	4	n ∈ n	ORG
ma-134	367	5	0	CARDINAL
ma-134	368	1	n ∈ n	ORG
ma-134	369	1	j. math	PERSON
ma-134	371	1	10.28924	CARDINAL
ma-134	374	1	∈	ORG
ma-134	374	2	n ∈ n	ORG
ma-134	374	3	4.1	CARDINAL
ma-134	374	4	6	CARDINAL
ma-134	374	5	|ui	LANGUAGE
ma-134	375	1	4.2	CARDINAL
ma-134	375	2	2	CARDINAL
ma-134	375	3	i·e	NORP
ma-134	375	4	al l x	FAC
ma-134	375	5	∞∑ n=0	PERSON
ma-134	376	1	|un|	DATE
ma-134	378	1	1	CARDINAL
ma-134	378	2	un	ORG
ma-134	378	3	1 2	CARDINAL
ma-134	378	4	n ∈ n	ORG
ma-134	378	5	0	CARDINAL
ma-134	378	6	1 2	CARDINAL
ma-134	378	7	∈	ORG
ma-134	379	1	3.11	CARDINAL
ma-134	382	1	1	CARDINAL
ma-134	383	1	first	ORDINAL
ma-134	383	2	2.5	CARDINAL
ma-134	383	3	em(x))−	ORG
ma-134	383	4	en+m(x	NORP
ma-134	384	1	+ vnf	PERSON
ma-134	385	1	en+m(x	NORP
ma-134	386	1	+ vnf	PERSON
ma-134	388	1	em(x))−	ORG
ma-134	388	2	en+m(x	NORP
ma-134	390	1	6	CARDINAL
ma-134	392	1	∣∣vj	GPE
ma-134	392	2	∈	ORG
ma-134	392	3	em(x))−	ORG
ma-134	392	4	em(x))−	ORG
ma-134	392	5	6	CARDINAL
ma-134	393	1	∣∣vj	GPE
ma-134	393	2	em(x))−	ORG
ma-134	395	1	em(x))−	ORG
ma-134	396	1	62	CARDINAL
ma-134	398	1	∣∣vj	GPE
ma-134	398	2	2.1	CARDINAL
ma-134	398	3	8	CARDINAL
ma-134	400	1	j. math	PERSON
ma-134	402	1	10.28924	CARDINAL
ma-134	403	1	first	ORDINAL
ma-134	403	2	2.1	CARDINAL
ma-134	403	3	8	CARDINAL
ma-134	403	4	em(x))−	ORG
ma-134	403	5	en+m(x	NORP
ma-134	404	1	+ vnf	PERSON
ma-134	408	1	em(x))−	ORG
ma-134	408	2	en+m(x	NORP
ma-134	410	1	6	CARDINAL
ma-134	412	1	∣∣vj	GPE
ma-134	412	2	∈	ORG
ma-134	412	3	em(x))−	ORG
ma-134	412	4	em(x))−	ORG
ma-134	412	5	6	CARDINAL
ma-134	413	1	∣∣vj	GPE
ma-134	413	2	em(x))−	ORG
ma-134	415	1	em(x))−	ORG
ma-134	416	1	62	CARDINAL
ma-134	418	1	∣∣vj	GPE
ma-134	419	1	euler	PERSON
ma-134	419	2	10	CARDINAL
ma-134	420	1	4.2	CARDINAL
ma-134	420	2	0	CARDINAL
ma-134	424	1	4f	CARDINAL
ma-134	424	2	4f	CARDINAL
ma-134	424	3	4.3	CARDINAL
ma-134	425	1	2 9	DATE
ma-134	425	2	1 9	CARDINAL
ma-134	425	3	∈	ORG
ma-134	425	4	x.in	PERSON
ma-134	425	5	abelian	NORP
ma-134	428	1	4f	CARDINAL
ma-134	429	1	+ 4f	CARDINAL
ma-134	430	1	+ 4f	CARDINAL
ma-134	430	2	4.4	CARDINAL
ma-134	432	1	4.3	CARDINAL
ma-134	433	1	+ 3f	CARDINAL
ma-134	433	2	3x)‖ 6	CARDINAL
ma-134	433	3	+ 3f	CARDINAL
ma-134	434	1	j. math	PERSON
ma-134	436	1	10.28924	CARDINAL
ma-134	436	2	two	CARDINAL
ma-134	436	3	‖9f	PERSON
ma-134	437	1	2f	CARDINAL
ma-134	437	2	3x)‖ 6 3ε	DATE
ma-134	437	3	second	ORDINAL
ma-134	437	4	4.1	CARDINAL
ma-134	437	5	un	ORG
ma-134	437	6	3n	CARDINAL
ma-134	437	7	9n	CARDINAL
ma-134	437	8	1− 3n 2	DATE
ma-134	437	9	9n	CARDINAL
ma-134	437	10	∞∑ n=0	PERSON
ma-134	438	1	|un|	DATE
ma-134	439	1	3ε 8	DATE
ma-134	440	1	3nx	ORDINAL
ma-134	440	2	3ny	ORDINAL
ma-134	440	3	3nz	ORDINAL
ma-134	443	1	3n(x	CARDINAL
ma-134	447	1	3n(x +	DATE
ma-134	449	1	3n(x	CARDINAL
ma-134	453	1	4f	CARDINAL
ma-134	453	2	3nx)− 4f	CARDINAL
ma-134	453	3	4f	CARDINAL
ma-134	453	4	3ny	ORDINAL
ma-134	454	1	+ vn[f	DATE
ma-134	457	1	3n(x	CARDINAL
ma-134	461	1	3n(x +	DATE
ma-134	462	1	3n(x	CARDINAL
ma-134	462	2	4f	CARDINAL
ma-134	462	3	3nx)− 4f	CARDINAL
ma-134	462	4	4f	CARDINAL
ma-134	462	5	3ny)]‖ 6	CARDINAL
ma-134	462	6	3.13	CARDINAL
ma-134	462	7	4.3	CARDINAL
ma-134	462	8	0	CARDINAL
ma-134	464	1	2f	CARDINAL
ma-134	464	2	6	CARDINAL
ma-134	464	3	4.5	CARDINAL
ma-134	466	1	3 8	CARDINAL
ma-134	466	2	∈	ORG
ma-134	466	3	6	CARDINAL
ma-134	466	4	x.in	PERSON
ma-134	470	1	4.5	CARDINAL
ma-134	470	2	2x	CARDINAL
ma-134	470	3	3f	CARDINAL
ma-134	470	4	6	CARDINAL
ma-134	470	5	4.6	CARDINAL
ma-134	470	6	4.6	CARDINAL
ma-134	471	1	4.7	CARDINAL
ma-134	471	2	4.6	CARDINAL
ma-134	471	3	4.7	CARDINAL
ma-134	471	4	‖8f	ORG
ma-134	472	1	3f	CARDINAL
ma-134	472	2	2x)‖	CARDINAL
ma-134	474	1	j. math	PERSON
ma-134	476	1	10.28924	CARDINAL
ma-134	476	2	3.3	CARDINAL
ma-134	476	3	un	ORG
ma-134	477	1	2n	CARDINAL
ma-134	478	1	4n	CARDINAL
ma-134	478	2	1− 2n 2	DATE
ma-134	478	3	4n	CARDINAL
ma-134	479	1	∞∑ n=0	PERSON
ma-134	480	1	|un|	DATE
ma-134	481	1	2ε 3	DATE
ma-134	482	1	2nx	ORDINAL
ma-134	482	2	2ny	ORDINAL
ma-134	482	3	2nx + 2ny	DATE
ma-134	483	1	2nx	ORDINAL
ma-134	483	2	2ny)−	CARDINAL
ma-134	483	3	2nx)−	PRODUCT
ma-134	483	4	2ny)−	CARDINAL
ma-134	484	1	2nx + 2ny	DATE
ma-134	485	1	2nx	ORDINAL
ma-134	485	2	2ny)−	CARDINAL
ma-134	485	3	2nx)−	PRODUCT
ma-134	485	4	2ny)−	CARDINAL
ma-134	485	5	6	CARDINAL
ma-134	485	6	0	CARDINAL
ma-134	485	7	56ε	DATE
ma-134	489	1	the national natural science foundation of china	ORG
ma-134	489	2	11971493	DATE
ma-134	490	1	1	CARDINAL
ma-134	490	2	john wiley	PERSON
ma-134	491	1	new york	GPE
ma-134	491	2	1964).[2	CARDINAL
ma-134	494	1	new york-london	GPE
ma-134	494	2	1960).[3	CARDINAL
ma-134	494	3	d.h.	GPE
ma-134	495	1	nat	PERSON
ma-134	496	1	acad	ORG
ma-134	497	1	sci. u.s.a. 27 (1941	ORG
ma-134	497	2	222	CARDINAL
ma-134	498	1	d.h.	PERSON
ma-134	498	2	g. isac	PERSON
ma-134	498	3	boston	GPE
ma-134	498	4	boston	GPE
ma-134	498	5	ma	GPE
ma-134	498	6	1998	DATE
ma-134	502	1	j. math	PERSON
ma-134	504	1	10.28924	CARDINAL
ma-134	504	2	18	CARDINAL
ma-134	504	3	5	CARDINAL
ma-134	504	4	m. zenon	PERSON
ma-134	505	1	77	CARDINAL
ma-134	505	2	2009	DATE
ma-134	505	3	33-88	DATE
ma-134	506	1	forti	PERSON
ma-134	506	2	1 (	CARDINAL
ma-134	506	3	1980	DATE
ma-134	506	4	23	CARDINAL
ma-134	507	1	forti	PERSON
ma-134	507	2	j. math	PERSON
ma-134	510	1	328(2007	CARDINAL
ma-134	510	2	109	CARDINAL
ma-134	511	1	j. sikorska	PERSON
ma-134	511	2	j. math	PERSON
ma-134	513	1	2010	DATE
ma-134	513	2	99	CARDINAL
ma-134	514	1	t. aoki	PERSON
ma-134	514	2	j. math	ORG
ma-134	516	1	japan	GPE
ma-134	517	1	2	CARDINAL
ma-134	517	2	1950	DATE
ma-134	517	3	64	CARDINAL
ma-134	518	1	forti	PERSON
ma-134	518	2	e. shulman	PERSON
ma-134	519	1	94	CARDINAL
ma-134	519	2	2020	DATE
ma-134	519	3	547	CARDINAL
ma-134	520	1	j. math	PERSON
ma-134	522	1	9 (	PERCENT
ma-134	522	2	17	CARDINAL
ma-134	523	1	10.7153	CARDINAL
ma-134	524	1	hassan	PERSON
ma-134	524	2	h. keshavarz	PERSON
ma-134	524	3	c. park	GPE
ma-134	524	4	s. dong	PERSON
ma-134	524	5	j. math	ORG
ma-134	526	1	9 (	PERCENT
ma-134	526	2	553	CARDINAL
ma-134	527	1	z. shaomo	PERSON
ma-134	527	2	l. yongjin	PERSON
ma-134	528	1	inequal.15	PERSON
ma-134	528	2	2021	CARDINAL
ma-134	528	3	605	CARDINAL
ma-134	528	4	r. walter	PERSON
ma-134	529	1	second	ORDINAL
ma-134	529	2	mcgraw-hill,inc.	ORG
ma-134	529	3	new york	GPE
ma-134	529	4	1991).[15	CARDINAL
ma-134	529	5	d. marinescu	PERSON
ma-134	529	6	m. monea	PERSON
ma-134	529	7	m. opincariu	PERSON
ma-134	529	8	m. stroe	PERSON
ma-134	530	1	29	CARDINAL
ma-134	530	2	2015	CARDINAL
ma-134	530	3	1587	CARDINAL
ma-134	531	1	m. frechet	PERSON
ma-134	531	2	de hilbert	PERSON
ma-134	531	3	ann	PERSON
ma-134	532	1	36 (1935	DATE
ma-134	532	2	705	CARDINAL
ma-134	533	1	s.s. kim	PERSON
ma-134	533	2	8	CARDINAL
ma-134	533	3	2020	DATE
ma-134	533	4	490	CARDINAL
ma-134	534	1	r. badora	PERSON
ma-134	534	2	j. brzdk	PERSON
ma-134	534	3	j. difference equ	PERSON
ma-134	536	1	18(2012	CARDINAL
ma-134	536	2	1115-1119	DATE
ma-134	537	1	https://doi.org/10.1080/10236198.2011.559165.[19] j.a. baker	ORG
ma-134	539	1	amer	PERSON
ma-134	541	1	3	CARDINAL
ma-134	541	2	729	CARDINAL
ma-134	542	1	9939-1991	DATE
ma-134	542	2	l. câdariu	PERSON
ma-134	542	3	radu	PERSON
ma-134	543	1	2004	DATE
ma-134	545	1	cho	PERSON
ma-134	545	2	r. saadati	PERSON
ma-134	545	3	j. vahidi	PERSON
ma-134	545	4	non-archimedean	NORP
ma-134	548	1	2012	DATE
ma-134	548	2	2012) 373904	DATE
ma-134	549	1	h. khodaei	PERSON
ma-134	549	2	m. eshaghi gordji	PERSON
ma-134	549	3	s.s. kim	PERSON
ma-134	549	4	y.j. cho	GPE
ma-134	549	5	j. math	PERSON
ma-134	551	1	395	CARDINAL
ma-134	551	2	2012	DATE
ma-134	551	3	284–297	CARDINAL
ma-134	552	1	p. kaskasem	PERSON
ma-134	552	2	c. klin-eam	PERSON
ma-134	552	3	y.j. cho	GPE
ma-134	552	4	jensen	PERSON
ma-134	553	1	20	CARDINAL
ma-134	553	2	2018	DATE
ma-134	553	3	76	DATE
ma-134	555	1	s. kim sik	PERSON
ma-134	555	2	j. rassias michael	PERSON
ma-134	555	3	n. hussain	PERSON
ma-134	555	4	y. cho	PERSON
ma-134	556	1	filomat	GPE
ma-134	556	2	30	CARDINAL
ma-134	556	3	2016	CARDINAL
ma-134	557	1	lee	PERSON
ma-134	557	2	jensen	PERSON
ma-134	558	1	j. math	PERSON
ma-134	561	1	27 (2002	DATE
ma-134	561	2	590	CARDINAL
ma-134	562	1	//doi.org/10.1016	PERSON
ma-134	563	1	https://doi.org/10.1016/j.jmaa.2006.04.079	PRODUCT
ma-134	565	1	j. math	PERSON
ma-134	567	1	10.28924	CARDINAL
ma-134	567	2	19	CARDINAL
ma-134	567	3	26	CARDINAL
ma-134	567	4	lee	PERSON
ma-134	567	5	jensen	PERSON
ma-134	568	1	korean	NORP
ma-134	570	1	42(2005	CARDINAL
ma-134	570	2	57-73	DATE
ma-134	571	1	https://doi.org/10.4134/bkms.2005.42.1.057.[27	NORP
ma-134	571	2	d. zhang	PERSON
ma-134	571	3	q. liu	PERSON
ma-134	571	4	j.m.	GPE
ma-134	571	5	y. li	PERSON
ma-134	571	6	2022	CARDINAL
ma-134	571	7	1188	CARDINAL
ma-134	574	1	2	CARDINAL
ma-134	575	1	3	CARDINAL
ma-134	576	1	4	CARDINAL