Further Generalizations of Some Fractional Integral Inequalities

Author:

Chen Dong1ORCID,Anwar Matloob2,Farid Ghulam3ORCID,Yasmeen Hafsa3

Affiliation:

1. College of Electronic Information and Electrical Engineering, Chengdu University, Chengdu 610106, China

2. School of Natural Sciences, NUST, Islamabad 44000, Pakistan

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

Abstract

This paper aims to establish generalized fractional integral inequalities for operators containing Mittag–Leffler functions. By applying (α,h−m)−p-convexity of real valued functions, generalizations of many well-known inequalities are obtained. Hadamard-type inequalities for various classes of functions are given in particular cases.

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Reference24 articles.

1. Hadamard and Fejér-Hadamard inequalities for (α,h-m)-p-convex functions via Riemann-Liouville fractional integrals;Jia;Math. Prob. Eng.,2021

2. Some remarks on (s,m) convexity in the second sense;Eftekhari;J. Math. Inequal.,2014

3. Mihesan, V.G. (2023, May 24). A Generalization of the Convexity, Seminar on Functional Equations, Approximation and Convexity, Cluj-Napoca, Romania. Available online: http://www.sciepub.com/reference/54446.

4. On (h-m) convexity and Hadamard-type inequalities;Akdemri;Transylv. J. Math. Mech.,2016

5. On the (p, h) convex function and some integral inequalities;Fang;J. Inequal. Appl.,2014

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