Some New Harmonically Convex Function Type Generalized Fractional Integral Inequalities

被引：12

作者：

Ali, Rana Safdar ^{[1
]}

Mukheimer, Aiman ^{[2
]}

Abdeljawad, Thabet ^{[2
,3
,4
]}

Mubeen, Shahid ^{[5
]}

Ali, Sabila ^{[1
]}

Rahman, Gauhar ^{[6
]}

Nisar, Kottakkaran Sooppy ^{[7
]}

机构：

[1] Univ Lahore, Dept Math, Sargodha Campus, Sargodha 40100, Pakistan

[2] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh 11586, Saudi Arabia

[3] China Med Univ, Dept Med Res, Taichung 40402, Taiwan

[4] Asia Univ, Dept Comp Sci & Informat Engn, Taichung 41354, Taiwan

[5] Univ Sargodha, Dept Math, Sargodha 40100, Pakistan

[6] Hazara Univ, Dept Math, Mansehra 21120, Pakistan

[7] Prince Sattam bin Abdulaziz Univ, Coll Arts & Sci, Dept Math, Wadi Aldawaser 11991, Saudi Arabia

来源：

FRACTAL AND FRACTIONAL | 2021年 / 5卷 / 02期

关键词：

bessel function; harmonically convex function; non-singular function involving kernel fractional operator; Hadamard inequality; Fejer-Hadamard inequality; HADAMARD TYPE INEQUALITIES; FEJER TYPE INEQUALITIES; HERMITE-HADAMARD;

D O I：

10.3390/fractalfract5020054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we established a new version of generalized fractional Hadamard and Fejer-Hadamard type integral inequalities. A fractional integral operator (FIO) with a non-singular function (multi-index Bessel function) as its kernel and monotone increasing functions is utilized to obtain the new version of such fractional inequalities. Our derived results are a generalized form of several proven inequalities already existing in the literature. The proven inequalities are useful for studying the stability and control of corresponding fractional dynamic equations.

引用

页数：12

共 31 条

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