Some Estimates of k-Fractional Integrals for Various Kinds of Exponentially Convex Functions-Reference-Cited by-同舟云学术

Some Estimates of k-Fractional Integrals for Various Kinds of Exponentially Convex Functions

Published:2023-03-29 Issue:4 Volume:7 Page:297
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Liu Yonghong¹^ORCID,Anwar Matloob²,Farid Ghulam³^ORCID,Khan Hala Safdar³

Affiliation:

1. School of Computer Science, Chengdu University, Chengdu 610106, China

2. School of Natural Sciences, National University of Sciences and Technology (NUST), Islamabad 44000, Pakistan

3. Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock 43600, Pakistan

Abstract

In this paper, we aim to find unified estimates of fractional integrals involving Mittag–Leffler functions in kernels. The results obtained in terms of fractional integral inequalities are provided for various kinds of convex and related functions. A variant of Hadamard-type inequality is also presented, which shows the upper and lower bounds of fractional integral operators of many kinds. The results of this paper are directly linked with many recently published inequalities.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/4/297/pdf

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5. Sahoo, S.K., Kashuri, A., Aljuaid, M., Mishra, S., and Sen, M.D.L. (2023). On Ostrowski–Mercer’s Type Fractional Inequalities for Convex Functions and Applications. Fractal Fract., 7.