id	sid	eid	entity	type
ejpam-5761	1	1	european journal	ORG
ejpam-5761	1	2	2025	DATE
ejpam-5761	1	3	18	CARDINAL
ejpam-5761	1	4	1	CARDINAL
ejpam-5761	1	5	5761	CARDINAL
ejpam-5761	1	6	1307-5543	DATE
ejpam-5761	1	7	new york	GPE
ejpam-5761	1	8	m. surya	PERSON
ejpam-5761	2	1	n. nathiya1,∗ 1 department of mathematics	ORG
ejpam-5761	2	2	vellore institute of technology chennai	ORG
ejpam-5761	2	3	tamilnadu	GPE
ejpam-5761	2	4	india	GPE
ejpam-5761	3	1	p(x	PERSON
ejpam-5761	3	2	p(x	PERSON
ejpam-5761	3	3	p(x	PERSON
ejpam-5761	4	1	p(x	PERSON
ejpam-5761	4	2	one	CARDINAL
ejpam-5761	5	1	p(x	PERSON
ejpam-5761	6	1	0	DATE
ejpam-5761	9	1	2020	DATE
ejpam-5761	9	2	31c20	CARDINAL
ejpam-5761	9	3	31c05	DATE
ejpam-5761	9	4	60j45	CARDINAL
ejpam-5761	9	5	1	CARDINAL
ejpam-5761	10	1	0	CARDINAL
ejpam-5761	10	2	1	DATE
ejpam-5761	10	3	2	CARDINAL
ejpam-5761	10	4	p(x	PERSON
ejpam-5761	10	5	p(n, n + 1	WORK_OF_ART
ejpam-5761	10	6	n ≥ 1	DATE
ejpam-5761	10	7	0	CARDINAL
ejpam-5761	11	1	0	CARDINAL
ejpam-5761	11	2	1	CARDINAL
ejpam-5761	12	1	1 2	CARDINAL
ejpam-5761	12	2	1	CARDINAL
ejpam-5761	12	3	1	CARDINAL
ejpam-5761	12	4	u(x	ORG
ejpam-5761	13	1	1	CARDINAL
ejpam-5761	13	2	1 2u(n−1	TIME
ejpam-5761	13	3	n ≥ 1 and u(0	DATE
ejpam-5761	14	1	2	CARDINAL
ejpam-5761	14	2	12	CARDINAL
ejpam-5761	14	3	p(x	PERSON
ejpam-5761	14	4	p(x	PERSON
ejpam-5761	14	5	0	CARDINAL
ejpam-5761	15	1	p(x	PERSON
ejpam-5761	15	2	p(y	PERSON
ejpam-5761	21	1	https://doi.org/10.29020/nybg.ejpam.v18i1.5761	TIME
ejpam-5761	21	2	m. surya priya	PERSON
ejpam-5761	21	3	n. nathiya	PERSON
ejpam-5761	22	1	1	CARDINAL
ejpam-5761	22	2	2025	CARDINAL
ejpam-5761	23	1	m. surya priya	PERSON
ejpam-5761	23	2	n. nathiya	ORG
ejpam-5761	24	1	j. pure	PERSON
ejpam-5761	24	2	18	CARDINAL
ejpam-5761	24	3	1	CARDINAL
ejpam-5761	24	4	2025	CARDINAL
ejpam-5761	24	5	5761 2	CARDINAL
ejpam-5761	24	6	11	CARDINAL
ejpam-5761	24	7	1	CARDINAL
ejpam-5761	24	8	10	CARDINAL
ejpam-5761	24	9	t(x	PERSON
ejpam-5761	25	1	∑ t(x	PERSON
ejpam-5761	26	1	4	CARDINAL
ejpam-5761	26	2	∆qu(x	PERSON
ejpam-5761	28	1	t ′	DATE
ejpam-5761	29	1	t(x	PERSON
ejpam-5761	29	2	q(x)+ ∑ t(x	PERSON
ejpam-5761	29	3	t ′	DATE
ejpam-5761	29	4	t ′	DATE
ejpam-5761	30	1	t(x	PERSON
ejpam-5761	33	1	6	CARDINAL
ejpam-5761	33	2	11	CARDINAL
ejpam-5761	34	1	13	CARDINAL
ejpam-5761	34	2	3	CARDINAL
ejpam-5761	35	1	r. manivannan	PERSON
ejpam-5761	35	2	m. venkataraman	PERSON
ejpam-5761	35	3	5	CARDINAL
ejpam-5761	36	1	8	CARDINAL
ejpam-5761	36	2	m. surya priya	PERSON
ejpam-5761	36	3	n. nathiya	ORG
ejpam-5761	37	1	′ -green	DATE
ejpam-5761	38	1	s. sivan	PERSON
ejpam-5761	38	2	m. venkataraman	PERSON
ejpam-5761	38	3	9	CARDINAL
ejpam-5761	38	4	1	CARDINAL
ejpam-5761	40	1	v. anandam	PERSON
ejpam-5761	41	1	1	CARDINAL
ejpam-5761	45	1	2	CARDINAL
ejpam-5761	45	2	1	CARDINAL
ejpam-5761	45	3	p(x	PERSON
ejpam-5761	45	4	p(x	PERSON
ejpam-5761	45	5	two	CARDINAL
ejpam-5761	46	1	p(x	PERSON
ejpam-5761	47	1	0	CARDINAL
ejpam-5761	48	1	two	CARDINAL
ejpam-5761	48	2	p(x	PERSON
ejpam-5761	48	3	1	CARDINAL
ejpam-5761	52	1	y p(x	PERSON
ejpam-5761	53	1	2	CARDINAL
ejpam-5761	53	2	m. surya priya	PERSON
ejpam-5761	53	3	n. nathiya	ORG
ejpam-5761	54	1	j. pure	PERSON
ejpam-5761	54	2	18	CARDINAL
ejpam-5761	54	3	1	CARDINAL
ejpam-5761	54	4	2025	CARDINAL
ejpam-5761	54	5	5761 3	DATE
ejpam-5761	56	1	k̊	ORG
ejpam-5761	56	2	3	CARDINAL
ejpam-5761	58	1	x ∈ k̊	ORG
ejpam-5761	58	2	k ⊂ n	ORG
ejpam-5761	59	1	y)[s(y)− s(x	PERSON
ejpam-5761	60	1	a− i)s(x	ORG
ejpam-5761	60	2	4	CARDINAL
ejpam-5761	62	1	5	CARDINAL
ejpam-5761	63	1	0	CARDINAL
ejpam-5761	64	1	6	CARDINAL
ejpam-5761	67	1	∆qu(x	PERSON
ejpam-5761	68	1	0	CARDINAL
ejpam-5761	68	2	∆qu(x	PERSON
ejpam-5761	69	1	y p(x	PERSON
ejpam-5761	69	2	y)u(y)−	ORG
ejpam-5761	69	3	1 +	DATE
ejpam-5761	70	1	1 + q(x)][a ′	QUANTITY
ejpam-5761	74	1	p(x	PERSON
ejpam-5761	75	1	a.	PERSON
ejpam-5761	75	2	φ	ORG
ejpam-5761	75	3	0	CARDINAL
ejpam-5761	75	4	p(x	PERSON
ejpam-5761	78	1	3	CARDINAL
ejpam-5761	78	2	7	CARDINAL
ejpam-5761	79	1	p(x	PERSON
ejpam-5761	83	1	p(x	PERSON
ejpam-5761	83	2	one	CARDINAL
ejpam-5761	85	1	p(x	PERSON
ejpam-5761	86	1	m. surya priya	PERSON
ejpam-5761	86	2	n. nathiya	ORG
ejpam-5761	87	1	j. pure	PERSON
ejpam-5761	87	2	18	CARDINAL
ejpam-5761	87	3	1	CARDINAL
ejpam-5761	87	4	2025	CARDINAL
ejpam-5761	87	5	5761 4	DATE
ejpam-5761	87	6	11	CARDINAL
ejpam-5761	87	7	1	CARDINAL
ejpam-5761	88	1	0	CARDINAL
ejpam-5761	88	2	p(x	PERSON
ejpam-5761	88	3	1+q(x	DATE
ejpam-5761	89	1	p(x	PERSON
ejpam-5761	89	2	8	DATE
ejpam-5761	91	1	k̊.	PERSON
ejpam-5761	94	1	9	CARDINAL
ejpam-5761	95	1	k̊.	ORG
ejpam-5761	95	2	1	CARDINAL
ejpam-5761	96	1	∑ p(x	PERSON
ejpam-5761	97	1	0	DATE
ejpam-5761	97	2	k. (ii	PERSON
ejpam-5761	97	3	0	DATE
ejpam-5761	97	4	k.	PERSON
ejpam-5761	97	5	k. proof	PERSON
ejpam-5761	98	1	k ⊂ n	ORG
ejpam-5761	98	2	∑ p(x	PERSON
ejpam-5761	99	1	∑ p(x	PERSON
ejpam-5761	100	1	≥ ∑ p(x	PERSON
ejpam-5761	101	1	≥ ∑ p(x	PERSON
ejpam-5761	102	1	k ⊂ n	ORG
ejpam-5761	104	1	3.1	CARDINAL
ejpam-5761	104	2	two	CARDINAL
ejpam-5761	104	3	α1s1 + α2s2	GPE
ejpam-5761	104	4	k. (ii	PERSON
ejpam-5761	106	1	inf(f	PERSON
ejpam-5761	106	2	u(x	ORG
ejpam-5761	107	1	u(x	ORG
ejpam-5761	107	2	section 3.1	LAW
ejpam-5761	107	3	1	CARDINAL
ejpam-5761	108	1	m. surya priya	PERSON
ejpam-5761	108	2	n. nathiya	ORG
ejpam-5761	109	1	j. pure	PERSON
ejpam-5761	109	2	18	CARDINAL
ejpam-5761	109	3	1	CARDINAL
ejpam-5761	109	4	2025	CARDINAL
ejpam-5761	109	5	5761 5	DATE
ejpam-5761	109	6	11	CARDINAL
ejpam-5761	110	1	{kn	PERSON
ejpam-5761	111	1	kn ⊂	PERSON
ejpam-5761	111	2	⊂	GPE
ejpam-5761	111	3	kn+1	GPE
ejpam-5761	115	1	m. hence dn(x	PERSON
ejpam-5761	115	2	z.	PERSON
ejpam-5761	117	1	u ≥ d[u	ORG
ejpam-5761	118	1	u on n	ORG
ejpam-5761	120	1	2	CARDINAL
ejpam-5761	123	1	first	ORDINAL
ejpam-5761	124	1	u ≤ s	ORG
ejpam-5761	125	1	0	CARDINAL
ejpam-5761	127	1	3.2	CARDINAL
ejpam-5761	128	1	-green	DATE
ejpam-5761	129	1	-green	DATE
ejpam-5761	130	1	-green	DATE
ejpam-5761	135	1	1	CARDINAL
ejpam-5761	136	1	0	CARDINAL
ejpam-5761	144	1	1	CARDINAL
ejpam-5761	146	1	-green	DATE
ejpam-5761	151	1	0	CARDINAL
ejpam-5761	156	1	m. surya priya	PERSON
ejpam-5761	156	2	n. nathiya	ORG
ejpam-5761	157	1	j. pure	PERSON
ejpam-5761	157	2	18	CARDINAL
ejpam-5761	157	3	1	CARDINAL
ejpam-5761	157	4	2025	CARDINAL
ejpam-5761	157	5	5761 6	DATE
ejpam-5761	157	6	11	CARDINAL
ejpam-5761	157	7	1 =(−∆ ′	QUANTITY
ejpam-5761	159	1	1	CARDINAL
ejpam-5761	159	2	ge ′	ORG
ejpam-5761	162	1	2	CARDINAL
ejpam-5761	163	1	p(x	PERSON
ejpam-5761	163	2	one	CARDINAL
ejpam-5761	165	1	1	CARDINAL
ejpam-5761	165	2	one	CARDINAL
ejpam-5761	166	1	p(x	PERSON
ejpam-5761	167	1	p(x	PERSON
ejpam-5761	176	1	0	CARDINAL
ejpam-5761	177	1	0	CARDINAL
ejpam-5761	179	1	-verage minorant	PERSON
ejpam-5761	179	2	s. theorem 2	ORG
ejpam-5761	185	1	letk	PERSON
ejpam-5761	202	1	lemma 2.	ORG
ejpam-5761	202	2	h(x	PERSON
ejpam-5761	211	1	m. surya priya	PERSON
ejpam-5761	211	2	n. nathiya	ORG
ejpam-5761	212	1	j. pure	PERSON
ejpam-5761	212	2	18	CARDINAL
ejpam-5761	212	3	1	CARDINAL
ejpam-5761	212	4	2025	CARDINAL
ejpam-5761	212	5	5761 7	DATE
ejpam-5761	212	6	11	DATE
ejpam-5761	212	7	1	CARDINAL
ejpam-5761	217	1	1	CARDINAL
ejpam-5761	218	1	1	CARDINAL
ejpam-5761	220	1	4	CARDINAL
ejpam-5761	220	2	parahyperbolic	ORG
ejpam-5761	220	3	u(x	ORG
ejpam-5761	221	1	1	CARDINAL
ejpam-5761	221	2	1	CARDINAL
ejpam-5761	222	1	0	CARDINAL
ejpam-5761	222	2	0	CARDINAL
ejpam-5761	223	1	0	CARDINAL
ejpam-5761	223	2	1	CARDINAL
ejpam-5761	224	1	two	CARDINAL
ejpam-5761	225	1	1	CARDINAL
ejpam-5761	227	1	1	CARDINAL
ejpam-5761	230	1	1	CARDINAL
ejpam-5761	230	2	1	CARDINAL
ejpam-5761	231	1	0	CARDINAL
ejpam-5761	234	1	0	CARDINAL
ejpam-5761	234	2	1	CARDINAL
ejpam-5761	235	1	10	CARDINAL
ejpam-5761	236	1	1	CARDINAL
ejpam-5761	238	1	3	CARDINAL
ejpam-5761	239	1	4.3.7	CARDINAL
ejpam-5761	239	2	1	CARDINAL
ejpam-5761	240	1	f of n	PRODUCT
ejpam-5761	241	1	11	CARDINAL
ejpam-5761	243	1	u2 ∈	PERSON
ejpam-5761	246	1	z. consequently	PERSON
ejpam-5761	246	2	u(x	ORG
ejpam-5761	246	3	m. surya priya	PERSON
ejpam-5761	246	4	n. nathiya	ORG
ejpam-5761	247	1	j. pure	PERSON
ejpam-5761	247	2	18	CARDINAL
ejpam-5761	247	3	1	CARDINAL
ejpam-5761	247	4	2025	CARDINAL
ejpam-5761	247	5	5761 8	DATE
ejpam-5761	249	1	u(x	ORG
ejpam-5761	251	1	3	CARDINAL
ejpam-5761	255	1	1	CARDINAL
ejpam-5761	259	1	a. hence |s| ≤	PERSON
ejpam-5761	259	2	n/a.	ORG
ejpam-5761	259	3	1	CARDINAL
ejpam-5761	259	4	a. consequently	PERSON
ejpam-5761	261	1	0 ≤	MONEY
ejpam-5761	263	1	1	CARDINAL
ejpam-5761	263	2	1	CARDINAL
ejpam-5761	263	3	0	CARDINAL
ejpam-5761	264	1	1	CARDINAL
ejpam-5761	268	1	1	DATE
ejpam-5761	269	1	4	CARDINAL
ejpam-5761	276	1	0	CARDINAL
ejpam-5761	277	1	0	CARDINAL
ejpam-5761	278	1	0	DATE
ejpam-5761	279	1	1	CARDINAL
ejpam-5761	279	2	3	CARDINAL
ejpam-5761	279	3	5	CARDINAL
ejpam-5761	284	1	0	CARDINAL
ejpam-5761	287	1	4	CARDINAL
ejpam-5761	287	2	1	CARDINAL
ejpam-5761	289	1	m. surya priya	PERSON
ejpam-5761	289	2	n. nathiya	ORG
ejpam-5761	290	1	j. pure	PERSON
ejpam-5761	290	2	18	CARDINAL
ejpam-5761	290	3	1	CARDINAL
ejpam-5761	290	4	2025	CARDINAL
ejpam-5761	290	5	5761 9	DATE
ejpam-5761	290	6	11	CARDINAL
ejpam-5761	290	7	2	CARDINAL
ejpam-5761	290	8	one	CARDINAL
ejpam-5761	291	1	′	CARDINAL
ejpam-5761	291	2	0	CARDINAL
ejpam-5761	291	3	1	CARDINAL
ejpam-5761	292	1	5	CARDINAL
ejpam-5761	293	1	1	CARDINAL
ejpam-5761	297	1	1	CARDINAL
ejpam-5761	299	1	6	CARDINAL
ejpam-5761	301	1	∑ x	PERSON
ejpam-5761	302	1	1	CARDINAL
ejpam-5761	304	1	0	DATE
ejpam-5761	304	2	1	CARDINAL
ejpam-5761	305	1	1−	CARDINAL
ejpam-5761	306	1	1−	CARDINAL
ejpam-5761	307	1	1−	CARDINAL
ejpam-5761	307	2	y)]gy(y	NORP
ejpam-5761	308	1	1−	CARDINAL
ejpam-5761	311	1	u(x	ORG
ejpam-5761	311	2	1	CARDINAL
ejpam-5761	311	3	7	CARDINAL
ejpam-5761	315	1	m. surya priya	PERSON
ejpam-5761	315	2	n. nathiya	ORG
ejpam-5761	316	1	j. pure	PERSON
ejpam-5761	316	2	18	CARDINAL
ejpam-5761	316	3	1	CARDINAL
ejpam-5761	316	4	2025	CARDINAL
ejpam-5761	316	5	5761 10	DATE
ejpam-5761	316	6	11	CARDINAL
ejpam-5761	319	1	s(h	PERSON
ejpam-5761	325	1	3	CARDINAL
ejpam-5761	326	1	one	CARDINAL
ejpam-5761	328	1	nonproportional bounded p	ORG
ejpam-5761	330	1	3	CARDINAL
ejpam-5761	343	1	− u2	PERSON
ejpam-5761	345	1	8	CARDINAL
ejpam-5761	346	1	one	CARDINAL
ejpam-5761	348	1	3	CARDINAL
ejpam-5761	350	1	1)h2	CARDINAL
ejpam-5761	351	1	3	CARDINAL
ejpam-5761	351	2	one	CARDINAL
ejpam-5761	352	1	•	CARDINAL
ejpam-5761	352	2	•	CARDINAL
ejpam-5761	353	1	•	CARDINAL
ejpam-5761	354	1	•	CARDINAL
ejpam-5761	355	1	m. surya priya	PERSON
ejpam-5761	355	2	n. nathiya	ORG
ejpam-5761	356	1	j. pure	PERSON
ejpam-5761	356	2	18	CARDINAL
ejpam-5761	356	3	1	CARDINAL
ejpam-5761	356	4	2025	CARDINAL
ejpam-5761	356	5	5761 11	DATE
ejpam-5761	356	6	11	CARDINAL
ejpam-5761	356	7	1	CARDINAL
ejpam-5761	356	8	victor anandam	PERSON
ejpam-5761	358	1	springer science & business media	ORG
ejpam-5761	358	2	germany	GPE
ejpam-5761	358	3	2011	DATE
ejpam-5761	359	1	2	CARDINAL
ejpam-5761	359	2	victor anandam	PERSON
ejpam-5761	361	1	de mathematiques	ORG
ejpam-5761	361	2	65:75–82	CARDINAL
ejpam-5761	361	3	2020	DATE
ejpam-5761	362	1	3	CARDINAL
ejpam-5761	362	2	victor anandam	PERSON
ejpam-5761	362	3	kamaleldin abodayeh	PERSON
ejpam-5761	365	1	47:19–35,	DATE
ejpam-5761	365	2	2014	DATE
ejpam-5761	366	1	4	CARDINAL
ejpam-5761	366	2	enrique bendito	PERSON
ejpam-5761	366	3	angeles carmona	PERSON
ejpam-5761	368	1	2005	DATE
ejpam-5761	369	1	5	CARDINAL
ejpam-5761	369	2	raj manivannan	PERSON
ejpam-5761	369	3	madhu	PERSON
ejpam-5761	370	1	∆-functions	PERSON
ejpam-5761	372	1	komp’yuternye nauki	PERSON
ejpam-5761	372	2	33:119–129	PRODUCT
ejpam-5761	372	3	2023	CARDINAL
ejpam-5761	373	1	6	CARDINAL
ejpam-5761	373	2	minoru murata	PERSON
ejpam-5761	376	1	7	CARDINAL
ejpam-5761	376	2	chinnathambi amulya	ORG
ejpam-5761	376	3	smyrna	GPE
ejpam-5761	377	1	schrodinger	PERSON
ejpam-5761	379	1	nauki	ORG
ejpam-5761	379	2	31(4):640–650	CARDINAL
ejpam-5761	379	3	2021	DATE
ejpam-5761	380	1	8	CARDINAL
ejpam-5761	380	2	surya priya	PERSON
ejpam-5761	382	1	aip	ORG
ejpam-5761	382	2	2852	CARDINAL
ejpam-5761	382	3	2023	CARDINAL
ejpam-5761	383	1	9	CARDINAL
ejpam-5761	383	2	madhu venkataraman	PERSON
ejpam-5761	383	3	parahyperbolic networks	ORG
ejpam-5761	384	1	fac	ORG
ejpam-5761	385	1	sci	ORG
ejpam-5761	386	1	eng	GPE
ejpam-5761	387	1	44:1–16, 2011	DATE
ejpam-5761	388	1	10	CARDINAL
ejpam-5761	388	2	paolo m soardi	PERSON
ejpam-5761	390	1	2006	DATE
ejpam-5761	391	1	11	CARDINAL
ejpam-5761	393	1	illinois	GPE
ejpam-5761	393	2	58(1):251–277	DATE
ejpam-5761	393	3	2014	DATE
ejpam-5761	394	1	12	CARDINAL
ejpam-5761	394	2	wolfgang	ORG
ejpam-5761	396	1	138	CARDINAL
ejpam-5761	396	2	2000	DATE
ejpam-5761	397	1	13	CARDINAL
ejpam-5761	397	2	maretsugu yamasaki	PERSON
ejpam-5761	398	1	parabolic	ORG
ejpam-5761	399	1	hiroshima mathematical journal	ORG
ejpam-5761	399	2	7(1):135–146	CARDINAL
ejpam-5761	399	3	1977	DATE