On Bounds of k-Fractional Integral Operators with Mittag-Leffler Kernels for Several Types of Exponentially Convexities

被引：1

作者：

Farid, Ghulam ^{[1
]}

Khan, Hala Safdar ^{[1
]}

Tawfiq, Ferdous M. O. ^{[2
]}

Ro, Jong-Suk ^{[3
,4
]}

Zainab, Saira ^{[5
]}

机构：

[1] COMSATS Univ Islamabad, Dept Math, Attock Campus, Attock 43600, Pakistan

[2] King Saud Univ, Coll Sci, Dept Math, POB 22452, Riyadh 11495, Saudi Arabia

[3] Chung Ang Univ, Sch Elect & Elect Engn, Seoul 06974, South Korea

[4] Chung Ang Univ, Dept Intelligent Energy & Ind, Seoul 06974, South Korea

[5] Natl Univ Sci & Technol NUST, Sch Elect Engn & Comp Sci SEECS, H 12 Sect, Islamabad 44000, Pakistan

来源：

FRACTAL AND FRACTIONAL | 2023年 / 7卷 / 08期

基金：

新加坡国家研究基金会;

关键词：

convex function; exponentially (& alpha; h - m)-p-convex function; Mittag-Leffler function; generalized integral operators; INEQUALITIES; EXTENSION; HADAMARD;

D O I：

10.3390/fractalfract7080617

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper aims to study the bounds of k-integral operators with the Mittag-Leffler kernel in a unified form. To achieve these bounds, the definition of exponentially (a,h-m)-p-convexity is utilized frequently. In addition, a fractional Hadamard type inequality which shows the upper and lower bounds of k-integral operators simultaneously is presented. The results are directly linked with the results of many published articles.

引用

页数：14

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