Generalized Fractional Integral Inequalities for MT-Non-Convex and p q -Convex Functions

Author:

Wang Wei1ORCID,Haq Absar Ul2,Saleem Muhammad Shoaib3ORCID,Zahoor Muhammad Sajid3

Affiliation:

1. School of General Education, Nantong Institute of Technology, Nantong 226002, China

2. Department of Mathematics, University of Engineering and Technology, Lahore, Pakistan

3. Department of Mathematics, University of Okara, Okara, Pakistan

Abstract

Fractional integral inequalities have a wide range of applications in pure and applied mathematics. In the present research, we establish generalized fractional integral inequalities for MT-non-convex functions and p q -convex functions. Our results extended many inequalities already existing in the literature.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Analysis

Reference29 articles.

1. Improvement and generalization of some jensen-mercer-type inequality;H. R. Moradi,2020

2. Jensen’s and Hermite–Hadamard’s Type Inequalities for Lower and Strongly Convex Functions on Normed Spaces

3. Opial integral inequalities for generalized fractional operators with nonsingular kernel;P. O. Mohammad;Journal of Inequalities and Applications,2020

4. Some Inequalities of Simpson Type forh-Convex Functions via Fractional Integrals

5. Ostrowski type inequalities for functions whose derivatives are MT-convex;M. Tunc;Journal of Computational Analysis and Applications,2014

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