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

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