id	sid	eid	entity	type
easat-3054	1	1	2576-8484	DATE
easat-3054	1	2	8	CARDINAL
easat-3054	1	3	6	CARDINAL
easat-3054	1	4	4910-4919 2024	DATE
easat-3054	1	5	10.55214/25768484.v8i6.3054 ©	CARDINAL
easat-3054	1	6	2024	CARDINAL
easat-3054	1	7	2024	CARDINAL
easat-3054	1	8	nadiah.a@uokerbala.edu.iq fractional	ORG
easat-3054	1	9	p<∞ spaces	ORG
easat-3054	1	10	habeeb1	PERSON
easat-3054	3	1	kerbala university	ORG
easat-3054	3	2	iraq	GPE
easat-3054	3	3	nadiah.a@uokerbala.edu.iq	TIME
easat-3054	4	1	2college	CARDINAL
easat-3054	4	2	al-zahraa	PERSON
easat-3054	4	3	iraq	GPE
easat-3054	5	1	first	ORDINAL
easat-3054	8	1	60e15	CARDINAL
easat-3054	8	2	39b72	CARDINAL
easat-3054	9	1	1	CARDINAL
easat-3054	9	2	firstly	ORDINAL
easat-3054	10	1	1	CARDINAL
easat-3054	11	1	1	CARDINAL
easat-3054	12	1	4	CARDINAL
easat-3054	14	1	𝑄∝	PERSON
easat-3054	14	2	𝑚∝	ORG
easat-3054	14	3	𝐽∝	CARDINAL
easat-3054	14	4	𝑚∝	ORG
easat-3054	14	5	≠	PERSON
easat-3054	18	1	≅	CARDINAL
easat-3054	18	2	+ 1)(𝑓(𝑋	DATE
easat-3054	20	1	mm	PERSON
easat-3054	20	2	𝑋 ∈ 𝐼 ⊆	PRODUCT
easat-3054	21	1	5	CARDINAL
easat-3054	21	2	∈	ORG
easat-3054	21	3	0	CARDINAL
easat-3054	21	4	− 𝑋°	PERSON
easat-3054	21	5	∈	ORG
easat-3054	22	1	5	CARDINAL
easat-3054	22	2	1	CARDINAL
easat-3054	22	3	𝑗=0	ORG
easat-3054	22	4	∆𝑡𝑗	WORK_OF_ART
easat-3054	22	5	1	CARDINAL
easat-3054	22	6	1	CARDINAL
easat-3054	22	7	1	CARDINAL
easat-3054	22	8	𝑗=0	ORG
easat-3054	22	9	∆𝑡𝑗	WORK_OF_ART
easat-3054	22	10	∆𝑡2	ORG
easat-3054	22	11	4911	CARDINAL
easat-3054	22	12	2576-8484	DATE
easat-3054	23	1	8	CARDINAL
easat-3054	24	1	6	CARDINAL
easat-3054	24	2	4910-4919	DATE
easat-3054	24	3	2024	CARDINAL
easat-3054	24	4	10.55214/25768484.v8i6.3054	CARDINAL
easat-3054	24	5	2024	CARDINAL
easat-3054	24	6	0	CARDINAL
easat-3054	28	1	𝐼 ⊂ 𝑅 → 𝑅𝛼	ORG
easat-3054	28	2	∈ 𝐼and	ORG
easat-3054	29	1	1	CARDINAL
easat-3054	30	1	i.	PERSON
easat-3054	32	1	∫ |𝑓(𝑥)|𝑝	ORG
easat-3054	32	2	1	CARDINAL
easat-3054	32	3	‖. ‖𝑃,𝛼	ORG
easat-3054	33	1	2.	CARDINAL
easat-3054	33	2	2.1	CARDINAL
easat-3054	33	3	6	CARDINAL
easat-3054	33	4	dαf(x	CARDINAL
easat-3054	37	1	1	CARDINAL
easat-3054	41	1	2.2	CARDINAL
easat-3054	42	1	1	CARDINAL
easat-3054	42	2	∈	ORG
easat-3054	42	3	1	CARDINAL
easat-3054	42	4	1	CARDINAL
easat-3054	43	1	1	CARDINAL
easat-3054	43	2	1	CARDINAL
easat-3054	44	1	1	CARDINAL
easat-3054	46	1	1	CARDINAL
easat-3054	46	2	∫|𝑔(𝑥)|𝑞(𝑑𝑥)𝛼	DATE
easat-3054	47	1	1	CARDINAL
easat-3054	48	1	2.3	CARDINAL
easat-3054	49	1	1	CARDINAL
easat-3054	49	2	1	CARDINAL
easat-3054	49	3	1	CARDINAL
easat-3054	50	1	lemma 2.4	ORG
easat-3054	50	2	2	CARDINAL
easat-3054	50	3	𝐼 ⊂ 𝑅 be an interval,𝑓	ORG
easat-3054	50	4	𝑅 → 𝑅𝛼	ORG
easat-3054	50	5	∝	ORG
easat-3054	50	6	∈	PRODUCT
easat-3054	51	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	52	1	1	CARDINAL
easat-3054	53	1	2.5	CARDINAL
easat-3054	53	2	6	CARDINAL
easat-3054	53	3	second	ORDINAL
easat-3054	53	4	generalized montgomery	ORG
easat-3054	53	5	𝐼 ⊂ 𝑅 be an interval,𝑓	ORG
easat-3054	53	6	∈	ORG
easat-3054	53	7	∝	ORG
easat-3054	55	1	2𝛼	CARDINAL
easat-3054	56	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	57	1	1	CARDINAL
easat-3054	59	1	4912 edelweiss	MONEY
easat-3054	59	2	2576-8484	DATE
easat-3054	59	3	8	CARDINAL
easat-3054	60	1	6	CARDINAL
easat-3054	60	2	4910-4919	DATE
easat-3054	60	3	2024	CARDINAL
easat-3054	60	4	10.55214/25768484.v8i6.3054	CARDINAL
easat-3054	60	5	2024	CARDINAL
easat-3054	61	1	∝	ORG
easat-3054	62	1	∝	ORG
easat-3054	64	1	∈	ORG
easat-3054	66	1	3	CARDINAL
easat-3054	67	1	two	CARDINAL
easat-3054	67	2	generalized montgomery	ORG
easat-3054	67	3	3.1	CARDINAL
easat-3054	68	1	⊂	GPE
easat-3054	68	2	∈	ORG
easat-3054	69	1	1	CARDINAL
easat-3054	70	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	70	2	∝𝑓(𝑥)| ≤	PERSON
easat-3054	71	1	+ 1)𝛼	DATE
easat-3054	72	1	1	CARDINAL
easat-3054	72	2	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	72	3	1 ≤	QUANTITY
easat-3054	72	4	1	CARDINAL
easat-3054	72	5	1	CARDINAL
easat-3054	72	6	2	CARDINAL
easat-3054	73	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	73	2	∝𝑓(𝑥)| ≤ 𝐶(𝑝)(γ(1 +	PERSON
easat-3054	73	3	1 𝑞(𝑏	TIME
easat-3054	73	4	+ 1)𝛼	DATE
easat-3054	74	1	1	CARDINAL
easat-3054	74	2	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	74	3	0	CARDINAL
easat-3054	74	4	two	CARDINAL
easat-3054	75	1	1 ≤ 𝑝 ≤	QUANTITY
easat-3054	75	2	lemma(2.2	GPE
easat-3054	75	3	1	CARDINAL
easat-3054	75	4	+ 𝛼)(𝑏	DATE
easat-3054	75	5	𝑡)||𝑓(𝑥)𝛼|	PERSON
easat-3054	75	6	1	CARDINAL
easat-3054	75	7	1	CARDINAL
easat-3054	77	1	1	CARDINAL
easat-3054	77	2	1	CARDINAL
easat-3054	77	3	2	CARDINAL
easat-3054	77	4	1 γ(1+𝛼	CARDINAL
easat-3054	78	1	1	CARDINAL
easat-3054	78	2	1	CARDINAL
easat-3054	80	1	1	CARDINAL
easat-3054	80	2	1	CARDINAL
easat-3054	80	3	1	CARDINAL
easat-3054	80	4	1	CARDINAL
easat-3054	80	5	3	CARDINAL
easat-3054	80	6	2,1	CARDINAL
easat-3054	80	7	𝐼1	CARDINAL
easat-3054	80	8	1	CARDINAL
easat-3054	82	1	2576-8484	DATE
easat-3054	82	2	8	CARDINAL
easat-3054	83	1	6	CARDINAL
easat-3054	83	2	4910-4919	DATE
easat-3054	83	3	2024	CARDINAL
easat-3054	83	4	10.55214/25768484.v8i6.3054	CARDINAL
easat-3054	83	5	2024	CARDINAL
easat-3054	86	1	4	CARDINAL
easat-3054	86	2	1	CARDINAL
easat-3054	90	1	5	CARDINAL
easat-3054	90	2	4	CARDINAL
easat-3054	91	1	3	CARDINAL
easat-3054	91	2	1	CARDINAL
easat-3054	93	1	𝑏(𝑞+1)𝛼	ORG
easat-3054	94	1	1	CARDINAL
easat-3054	95	1	+ 1)𝛼	DATE
easat-3054	96	1	1	CARDINAL
easat-3054	96	2	6	CARDINAL
easat-3054	96	3	1 γ(1+𝛼	DATE
easat-3054	96	4	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	96	5	6	CARDINAL
easat-3054	96	6	7	CARDINAL
easat-3054	96	7	2	CARDINAL
easat-3054	96	8	1	CARDINAL
easat-3054	96	9	+ 𝛼)(𝑏	DATE
easat-3054	96	10	𝑡)||𝑓(𝑥)𝛼|	PERSON
easat-3054	96	11	1 𝑞(𝑏	TIME
easat-3054	97	1	+ 1)𝛼	DATE
easat-3054	97	2	1	CARDINAL
easat-3054	98	1	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	98	2	1 ≤	QUANTITY
easat-3054	98	3	1	CARDINAL
easat-3054	98	4	1	CARDINAL
easat-3054	98	5	2.4,we	PRODUCT
easat-3054	99	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	99	2	∝𝑓(𝑥)| ≤	PERSON
easat-3054	99	3	1 𝑞(𝑏	TIME
easat-3054	99	4	+ 1)𝛼	DATE
easat-3054	100	1	1	CARDINAL
easat-3054	100	2	1	CARDINAL
easat-3054	100	3	first	ORDINAL
easat-3054	101	1	1	CARDINAL
easat-3054	102	1	1	CARDINAL
easat-3054	102	2	𝑡)||𝑓(𝑥)𝛼|	PERSON
easat-3054	102	3	1	CARDINAL
easat-3054	102	4	1	CARDINAL
easat-3054	103	1	1 ≤ 𝑝	QUANTITY
easat-3054	103	2	1	CARDINAL
easat-3054	103	3	+ 1	DATE
easat-3054	103	4	1	CARDINAL
easat-3054	103	5	6	CARDINAL
easat-3054	103	6	1	CARDINAL
easat-3054	104	1	𝑡)||𝑓(𝑥)𝛼|	PERSON
easat-3054	104	2	2576-8484	DATE
easat-3054	104	3	8	CARDINAL
easat-3054	105	1	6	CARDINAL
easat-3054	105	2	4910-4919	DATE
easat-3054	105	3	2024	CARDINAL
easat-3054	105	4	10.55214/25768484.v8i6.3054	CARDINAL
easat-3054	105	5	2024	CARDINAL
easat-3054	108	1	+ 1)𝛼	DATE
easat-3054	109	1	1	CARDINAL
easat-3054	109	2	1	CARDINAL
easat-3054	109	3	ℎ(∆𝑡𝑖	GPE
easat-3054	109	4	1	CARDINAL
easat-3054	109	5	0 < 𝑝 < 1	QUANTITY
easat-3054	109	6	1	CARDINAL
easat-3054	109	7	1	CARDINAL
easat-3054	109	8	+ 𝛼)(𝑏	DATE
easat-3054	109	9	𝑡)||𝑓(𝑥)𝛼|	PERSON
easat-3054	110	1	1 𝑞(𝑏	TIME
easat-3054	110	2	+ 1)𝛼	DATE
easat-3054	111	1	1	CARDINAL
easat-3054	111	2	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	111	3	0	CARDINAL
easat-3054	111	4	2.4,we	PRODUCT
easat-3054	112	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	112	2	∝𝑓(𝑥)| ≤ 𝐶(𝑝)(𝛤(1	PERSON
easat-3054	113	1	+ 1)𝛼	DATE
easat-3054	114	1	1	CARDINAL
easat-3054	114	2	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	114	3	0	CARDINAL
easat-3054	115	1	second	ORDINAL
easat-3054	116	1	3.2	CARDINAL
easat-3054	117	1	⊂	GPE
easat-3054	117	2	∈	ORG
easat-3054	118	1	1	CARDINAL
easat-3054	120	1	2𝛼	CARDINAL
easat-3054	121	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	121	2	∝𝑓(𝑥)| ≤	PERSON
easat-3054	122	1	+ 1)𝛼	DATE
easat-3054	123	1	1	CARDINAL
easat-3054	123	2	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	123	3	1 ≤	QUANTITY
easat-3054	123	4	1	CARDINAL
easat-3054	123	5	1	CARDINAL
easat-3054	123	6	2	CARDINAL
easat-3054	123	7	2𝛼	CARDINAL
easat-3054	124	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	124	2	∝𝑓(𝑥)| ≤ 𝐶(𝑝)(γ(1 +	PERSON
easat-3054	124	3	1 𝑞(𝑏	TIME
easat-3054	124	4	+ 1)𝛼	DATE
easat-3054	124	5	1	CARDINAL
easat-3054	125	1	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	125	2	0	CARDINAL
easat-3054	126	1	two	CARDINAL
easat-3054	127	1	1 ≤ 𝑝 ≤	QUANTITY
easat-3054	127	2	2.5	CARDINAL
easat-3054	128	1	− ℎ)𝛼𝑓(𝑥	GPE
easat-3054	130	1	2𝛼	CARDINAL
easat-3054	131	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	131	2	∝𝑓(𝑥)|	PERSON
easat-3054	131	3	1	CARDINAL
easat-3054	131	4	𝑡)||𝑓(𝑥)𝛼|	PERSON
easat-3054	132	1	4915	CARDINAL
easat-3054	132	2	2576-8484	DATE
easat-3054	132	3	8	CARDINAL
easat-3054	133	1	6	CARDINAL
easat-3054	133	2	4910-4919	DATE
easat-3054	133	3	2024	CARDINAL
easat-3054	133	4	10.55214/25768484.v8i6.3054	CARDINAL
easat-3054	133	5	2024	CARDINAL
easat-3054	133	6	− ℎ)𝛼𝑓(𝑥	GPE
easat-3054	135	1	2𝛼	CARDINAL
easat-3054	136	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	136	2	∝𝑓(𝑥)| ≤ 1	PERSON
easat-3054	136	3	1	CARDINAL
easat-3054	136	4	1	CARDINAL
easat-3054	137	1	1 ≤ 𝑝	QUANTITY
easat-3054	137	2	1	CARDINAL
easat-3054	137	3	+ 1	DATE
easat-3054	137	4	1	CARDINAL
easat-3054	137	5	1 γ(1+𝛼	CARDINAL
easat-3054	138	1	1	CARDINAL
easat-3054	138	2	1	CARDINAL
easat-3054	140	1	1	CARDINAL
easat-3054	140	2	1	CARDINAL
easat-3054	142	1	1	CARDINAL
easat-3054	142	2	1	CARDINAL
easat-3054	142	3	9	CARDINAL
easat-3054	142	4	1	CARDINAL
easat-3054	144	1	1	CARDINAL
easat-3054	146	1	+ 𝑎+ℎ	DATE
easat-3054	146	2	1	CARDINAL
easat-3054	148	1	2,1	CARDINAL
easat-3054	157	1	10	CARDINAL
easat-3054	157	2	𝑀2	FAC
easat-3054	157	3	1	CARDINAL
easat-3054	159	1	1	CARDINAL
easat-3054	161	1	1	CARDINAL
easat-3054	163	1	4916	DATE
easat-3054	163	2	2576-8484	DATE
easat-3054	163	3	8	CARDINAL
easat-3054	164	1	6	CARDINAL
easat-3054	164	2	4910-4919	DATE
easat-3054	164	3	2024	CARDINAL
easat-3054	164	4	10.55214/25768484.v8i6.3054	CARDINAL
easat-3054	164	5	2024	CARDINAL
easat-3054	164	6	𝑀2	PRODUCT
easat-3054	174	1	11	CARDINAL
easat-3054	174	2	10	CARDINAL
easat-3054	174	3	9	CARDINAL
easat-3054	174	4	1	CARDINAL
easat-3054	177	1	1	CARDINAL
easat-3054	177	2	𝑏(𝑞+1)𝛼	ORG
easat-3054	177	3	1	CARDINAL
easat-3054	180	1	+ 1)𝛼	DATE
easat-3054	181	1	1	CARDINAL
easat-3054	181	2	12	CARDINAL
easat-3054	181	3	7	CARDINAL
easat-3054	181	4	12	CARDINAL
easat-3054	183	1	2𝛼	CARDINAL
easat-3054	184	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	184	2	∝𝑓(𝑥)| ≤ 1	PERSON
easat-3054	185	1	𝑏(𝑞+1)𝛼	ORG
easat-3054	185	2	1	CARDINAL
easat-3054	185	3	1	CARDINAL
easat-3054	185	4	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	186	1	− ℎ)𝛼𝑓(𝑥	GPE
easat-3054	188	1	2𝛼	CARDINAL
easat-3054	189	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	189	2	∝𝑓(𝑥)| ≤	PERSON
easat-3054	189	3	1 𝑞(𝑏	TIME
easat-3054	189	4	+ 1)𝛼	DATE
easat-3054	190	1	1	CARDINAL
easat-3054	190	2	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	190	3	1 ≤	QUANTITY
easat-3054	190	4	1	CARDINAL
easat-3054	190	5	1	CARDINAL
easat-3054	190	6	first	ORDINAL
easat-3054	191	1	1	CARDINAL
easat-3054	192	1	1	CARDINAL
easat-3054	192	2	𝑡)||𝑓(𝑥)𝛼|	PERSON
easat-3054	192	3	1	CARDINAL
easat-3054	192	4	1	CARDINAL
easat-3054	192	5	∫|𝑓(𝑥)𝛼|𝐿(𝑑𝑥)𝛼	DATE
easat-3054	193	1	1	CARDINAL
easat-3054	193	2	2576-8484	DATE
easat-3054	193	3	8	CARDINAL
easat-3054	194	1	6	CARDINAL
easat-3054	194	2	4910-4919	DATE
easat-3054	194	3	2024	CARDINAL
easat-3054	194	4	10.55214/25768484.v8i6.3054	CARDINAL
easat-3054	194	5	2024	CARDINAL
easat-3054	194	6	1 ≤	QUANTITY
easat-3054	194	7	1	CARDINAL
easat-3054	194	8	1	CARDINAL
easat-3054	194	9	1	CARDINAL
easat-3054	194	10	1	CARDINAL
easat-3054	194	11	𝑡)||𝑓(𝑥)𝛼|	PERSON
easat-3054	195	1	+ 1)𝛼	DATE
easat-3054	196	1	1	CARDINAL
easat-3054	196	2	1	CARDINAL
easat-3054	196	3	1	CARDINAL
easat-3054	196	4	0 < 𝑝 < 1	QUANTITY
easat-3054	196	5	2.3,we	CARDINAL
easat-3054	196	6	1	CARDINAL
easat-3054	196	7	𝑡)||𝑓(𝑥)𝛼|	PERSON
easat-3054	199	1	+ 1)𝛼	DATE
easat-3054	200	1	1	CARDINAL
easat-3054	200	2	1	CARDINAL
easat-3054	200	3	𝑃(∆𝑡𝑖	ORG
easat-3054	200	4	1	CARDINAL
easat-3054	200	5	1	CARDINAL
easat-3054	200	6	1	CARDINAL
easat-3054	200	7	𝑡)||𝑓(𝑥)𝛼|	PERSON
easat-3054	201	1	1 𝑞(𝑏	TIME
easat-3054	201	2	+ 1)𝛼	DATE
easat-3054	202	1	1	CARDINAL
easat-3054	202	2	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	202	3	0	CARDINAL
easat-3054	202	4	2.5	CARDINAL
easat-3054	204	1	2𝛼	CARDINAL
easat-3054	205	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	205	2	∝𝑓(𝑥)| ≤ 𝐶(𝑝)(γ(1 +	PERSON
easat-3054	205	3	1 𝑞(𝑏	TIME
easat-3054	205	4	+ 1)𝛼	DATE
easat-3054	205	5	1	CARDINAL
easat-3054	206	1	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	206	2	0	CARDINAL
easat-3054	207	1	second	ORDINAL
easat-3054	209	1	⊂	GPE
easat-3054	209	2	∈	ORG
easat-3054	210	1	1	CARDINAL
easat-3054	211	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	211	2	∝𝑓(𝑥)| ≤	PERSON
easat-3054	212	1	+ 1)𝛼	DATE
easat-3054	213	1	1	CARDINAL
easat-3054	213	2	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	213	3	1 ≤	QUANTITY
easat-3054	213	4	1	CARDINAL
easat-3054	213	5	1	CARDINAL
easat-3054	213	6	2	CARDINAL
easat-3054	214	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	214	2	∝𝑓(𝑥)| ≤ 𝐶(𝑝)(γ(1 +	PERSON
easat-3054	214	3	1 𝑞(𝑏	TIME
easat-3054	214	4	+ 1)𝛼	DATE
easat-3054	215	1	1	CARDINAL
easat-3054	215	2	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	215	3	0	CARDINAL
easat-3054	216	1	3.2	CARDINAL
easat-3054	216	2	1	CARDINAL
easat-3054	216	3	2576-8484	DATE
easat-3054	216	4	8	CARDINAL
easat-3054	217	1	6	CARDINAL
easat-3054	217	2	4910-4919	DATE
easat-3054	217	3	2024	CARDINAL
easat-3054	217	4	10.55214/25768484.v8i6.3054	CARDINAL
easat-3054	217	5	2024	CARDINAL
easat-3054	217	6	− ℎ)𝛼𝑓(𝑥	GPE
easat-3054	219	1	2𝛼	CARDINAL
easat-3054	220	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	220	2	∝𝑓(𝑥)| ≤	PERSON
easat-3054	221	1	+ 1)𝛼	DATE
easat-3054	222	1	1	CARDINAL
easat-3054	222	2	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	223	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	223	2	∝𝑓(𝑥)| ≤	PERSON
easat-3054	224	1	+ 1)𝛼	DATE
easat-3054	225	1	1	CARDINAL
easat-3054	225	2	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	225	3	1 ≤	QUANTITY
easat-3054	225	4	1	CARDINAL
easat-3054	225	5	1	CARDINAL
easat-3054	225	6	2	CARDINAL
easat-3054	225	7	2𝛼	CARDINAL
easat-3054	226	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	226	2	∝𝑓(𝑥)| ≤ 𝐶(𝑃)(γ(1	PERSON
easat-3054	227	1	1 𝑞(𝑏	TIME
easat-3054	227	2	+ 1)𝛼	DATE
easat-3054	227	3	1	CARDINAL
easat-3054	228	1	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	229	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	229	2	∝𝑓(𝑥)| ≤ 𝐶(𝑃)(γ(1	PERSON
easat-3054	230	1	1 𝑞(𝑏	TIME
easat-3054	230	2	+ 1)𝛼	DATE
easat-3054	230	3	1	CARDINAL
easat-3054	231	1	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	231	2	1	CARDINAL
easat-3054	231	3	3.4	CARDINAL
easat-3054	232	1	⊂	GPE
easat-3054	232	2	∈	ORG
easat-3054	233	1	1	CARDINAL
easat-3054	233	2	2𝛼	CARDINAL
easat-3054	235	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	235	2	∝𝑓(𝑥)| ≤	PERSON
easat-3054	236	1	+ 1)𝛼	DATE
easat-3054	237	1	1	CARDINAL
easat-3054	237	2	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	237	3	1 ≤	QUANTITY
easat-3054	237	4	1	CARDINAL
easat-3054	237	5	1	CARDINAL
easat-3054	237	6	2	CARDINAL
easat-3054	237	7	2𝛼	CARDINAL
easat-3054	238	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	238	2	∝𝑓(𝑥)| ≤ 𝐶(𝑝)(γ(1 +	PERSON
easat-3054	238	3	1 𝑞(𝑏	TIME
easat-3054	238	4	+ 1)𝛼	DATE
easat-3054	238	5	1	CARDINAL
easat-3054	239	1	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	239	2	0	CARDINAL
easat-3054	240	1	3.2	CARDINAL
easat-3054	240	2	1	CARDINAL
easat-3054	242	1	2𝛼	CARDINAL
easat-3054	243	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	243	2	∝𝑓(𝑥)| ≤	PERSON
easat-3054	244	1	+ 1)𝛼	DATE
easat-3054	245	1	1	CARDINAL
easat-3054	245	2	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	245	3	1	CARDINAL
easat-3054	246	1	2𝛼	CARDINAL
easat-3054	247	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	247	2	∝𝑓(𝑥)| ≤	PERSON
easat-3054	248	1	+ 1)𝛼	DATE
easat-3054	249	1	1	CARDINAL
easat-3054	249	2	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	249	3	1 ≤	QUANTITY
easat-3054	249	4	1	CARDINAL
easat-3054	249	5	1	CARDINAL
easat-3054	249	6	2	CARDINAL
easat-3054	249	7	4919	CARDINAL
easat-3054	249	8	2576-8484	DATE
easat-3054	250	1	8	CARDINAL
easat-3054	251	1	6	CARDINAL
easat-3054	251	2	4910-4919	DATE
easat-3054	251	3	2024	CARDINAL
easat-3054	251	4	10.55214/25768484.v8i6.3054	CARDINAL
easat-3054	251	5	2024	CARDINAL
easat-3054	251	6	− ℎ)𝛼𝑓(𝑥	GPE
easat-3054	253	1	2𝛼	CARDINAL
easat-3054	254	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	254	2	∝𝑓(𝑥)| ≤ 𝐶(𝑃)(γ(1	PERSON
easat-3054	255	1	1 𝑞(𝑏	TIME
easat-3054	255	2	+ 1)𝛼	DATE
easat-3054	255	3	1	CARDINAL
easat-3054	256	1	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	256	2	1	CARDINAL
easat-3054	257	1	2𝛼	CARDINAL
easat-3054	258	1	𝑏 − 𝑎)𝛼	ORG
easat-3054	258	2	∝𝑓(𝑥)| ≤ 𝐶(𝑃)(γ(1	PERSON
easat-3054	259	1	1 𝑞(𝑏	TIME
easat-3054	259	2	+ 1)𝛼	DATE
easat-3054	259	3	1	CARDINAL
easat-3054	260	1	1 𝑝 ‖𝑓𝛼‖𝑝	DATE
easat-3054	260	2	1	CARDINAL
easat-3054	261	1	2024	CARDINAL
easat-3054	262	1	https://creativecommons.org/licenses/by/4.0/	WORK_OF_ART
easat-3054	263	1	1	CARDINAL
easat-3054	263	2	b. meftah & boukerrioua khaled	ORG
easat-3054	263	3	2017	CARDINAL
easat-3054	263	4	two	CARDINAL
easat-3054	263	5	20:2	CARDINAL
easat-3054	263	6	397	CARDINAL
easat-3054	263	7	10.1080/09720502.2015.1026463	TIME
easat-3054	264	1	2	CARDINAL
easat-3054	264	2	m. merad & a.	ORG
easat-3054	264	3	2019	CARDINAL
easat-3054	264	4	22:6	CARDINAL
easat-3054	264	5	951	CARDINAL
easat-3054	265	1	3	CARDINAL
easat-3054	265	2	eman samir bhayah	PERSON
easat-3054	265	3	sone discrete series	PERSON
easat-3054	265	4	baghdad	GPE
easat-3054	265	5	1999	DATE
easat-3054	266	1	4	CARDINAL
easat-3054	266	2	g-s. chen	PERSON
easat-3054	266	3	2013	DATE
easat-3054	266	4	article id 198405	LAW
easat-3054	266	5	9	CARDINAL
easat-3054	267	1	5	CARDINAL
easat-3054	267	2	coll	PERSON
easat-3054	268	1	13(1) 2010	DATE
easat-3054	269	1	6	CARDINAL
easat-3054	269	2	27(1	CARDINAL
easat-3054	269	3	2001	DATE
easat-3054	269	4	109-114	CARDINAL
easat-3054	270	1	7	CARDINAL
easat-3054	270	2	habeeb	PERSON
easat-3054	270	3	eman samir bhaya	PERSON
easat-3054	270	4	7	CARDINAL
easat-3054	271	1	3 march	DATE
easat-3054	271	2	2022	CARDINAL
easat-3054	272	1	8	CARDINAL
easat-3054	272	2	habeeb	PERSON
easat-3054	272	3	eman samir bhaya	PERSON
easat-3054	272	4	7	CARDINAL
easat-3054	273	1	3 march	DATE
easat-3054	273	2	2022	CARDINAL
easat-3054	273	3	9	CARDINAL
easat-3054	273	4	demonstratio	ORG
easat-3054	274	1	37	DATE
easat-3054	274	2	2004	DATE
easat-3054	274	3	no.2,299–308	ORG
easat-3054	275	1	10	CARDINAL
easat-3054	275	2	r. p. agarwal	PERSON
easat-3054	275	3	two	CARDINAL
easat-3054	276	1	no.5	ORG