A STUDY ON MILNE-TYPE INEQUALITIES FOR A SPECIFIC FRACTIONAL INTEGRAL OPERATOR WITH APPLICATIONS

被引：1

作者：

Munir, Arslan ^{[1
]}

Qayyum, Ather ^{[3
]}

Rathour, Laxmi ^{[4
]}

Atta, Gulnaz ^{[2
,5
]}

Supadi, Siti suzlin ^{[6
]}

Ali, Usman ^{[7
]}

机构：

[1] COMSATS Univ Islamabad, Dept Math, Sahiwal Campus, Sahiwal 57000, Pakistan

[2] Univ Malaya Malaysia, Inst Math Sci, Kuala Lumpur, Malaysia

[3] Northumbria Univ, QFBA, Doha, Qatar

[4] Natl Inst Technol, Dept Math, Aizawl 96012, Mizoram, India

[5] Univ Educ, Dept Math, DGK Campus, Lahore, Pakistan

[6] Univ Malaya, Inst Math Sci, Kuala Lumpur, Malaysia

[7] Inst Southern Punjab, Dept Math, Multan, Pakistan

来源：

KOREAN JOURNAL OF MATHEMATICS | 2024年 / 32卷 / 02期

关键词：

Milne-type inequalities; s-convex function; Fractional integrals; Holder's inequality; DIFFERENTIABLE MAPPINGS; SIMPSONS INEQUALITY; CALCULUS;

D O I：

10.11568/kjm.2024.32.2.297

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Fractional integral operators have been studied extensively in the last few decades by various mathematicians, because it plays a vital role in the developments of new inequalities. The main goal of the current study is to establish some new Milne-type inequalities by using the special type of fractional integral operator i.e Caputo Fabrizio operator. Additionally, generalization of these developed Milnetype inequalities for s-convex function are also given. Furthermore, applications to some special means, quadrature formula, and q-digamma functions are presented.

引用

页码：297 / 314

页数：18

共 50 条

[41] Generalized Hermite - Hadamard Type Integral Inequalities for Fractional Integrals
Sarikaya, Mehmet Zeki
Budak, Huseyin
FILOMAT, 2016, 30 (05) : 1315 - 1326
[42] Interval valued Hadamard-Fejer and Pachpatte Type inequalities pertaining to a new fractional integral operator with exponential kernel
Srivastava, Hari Mohan
Sahoo, Soubhagya Kumar
Mohammed, Pshtiwan Othman
Kodamasingh, Bibhakar
Nonlaopon, Kamsing
Abualnaja, Khadijah M.
AIMS MATHEMATICS, 2022, 7 (08): : 15041 - 15063
[43] New Ostrowski-Type Fractional Integral Inequalities via Generalized Exponential-Type Convex Functions and Applications
Sahoo, Soubhagya Kumar
Tariq, Muhammad
Ahmad, Hijaz
Nasir, Jamshed
Aydi, Hassen
Mukheimer, Aiman
SYMMETRY-BASEL, 2021, 13 (08):
[44] New double integral inequalities of Simpson type and applications
Wu, Bin
PROCEEDINGS OF THE 2010 INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS AND PHYSICS, VOL 2: ADVANCES ON APPLIED MATHEMATICS AND COMPUTATION MATHEMATICS, 2010, : 299 - 303
[45] Fractional Weighted Ostrowski-Type Inequalities and Their Applications
Kashuri, Artion
Meftah, Badreddine
Mohammed, Pshtiwan Othman
Lupas, Alina Alb
Abdalla, Bahaaeldin
Hamed, Y. S.
Abdeljawad, Thabet
SYMMETRY-BASEL, 2021, 13 (06):
[46] JENSEN TYPE INEQUALITIES AND THEIR APPLICATIONS VIA FRACTIONAL INTEGRALS
Abbaszadeh, Sadegh
Ebadian, Ali
Jaddi, Mohsen
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2018, 48 (08) : 2459 - 2488
[47] Results on Minkowski-Type Inequalities for Weighted Fractional Integral Operators
Srivastava, Hari Mohan
Sahoo, Soubhagya Kumar
Mohammed, Pshtiwan Othman
Kashuri, Artion
Chorfi, Nejmeddine
SYMMETRY-BASEL, 2023, 15 (08):
[48] SOME ESTIMATES ON THE WEIGHTED SIMPSON-LIKE TYPE INTEGRAL INEQUALITIES AND THEIR APPLICATIONS
Zhu, Ting
Wang, Peipei
Du, Tingsong
JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2020, 2020
[49] Some fractional Hermite-Hadamard-type integral inequalities with s-(α, m)-convex functions and their applications
Liu, R. N.
Xu, Run
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01):
[50] New Hadamard-type integral inequalities via a general form of fractional integral operators
Butt, Saad Ihsan
Yousaf, Saba
Akdemir, Ahmet Ocak
Dokuyucu, Mustafa Ali
CHAOS SOLITONS & FRACTALS, 2021, 148

← 1 2 3 4 5 →