Generalized fractional integral inequalities for exponentially \((s,m)\) -convex functions

Journal of inequalities and applications

article

Xiaoli Qiang¹  Ghulam Farid²  Josip Pečarić³  Saira Bano Akbar² 

[1] Institute of Computing Science and Technology, Guangzhou University;Department of Mathematics, COMSATS University Islamabad, Attock Campus;Rudn University

关键词: Convex function;    \((s;    m)\) -convex function;    Mittag-Leffler function;    Fractional integral operators;    Boundedness;   

DOI  :  10.1186/s13660-020-02335-7

学科分类：电力

来源: SpringerOpen

【 摘 要 】

In this paper we have derived the fractional integral inequalities by defining exponentially $(s,m)$-convex functions. These inequalities provide upper bounds, boundedness, continuity, and Hadamard type inequality for fractional integrals containing an extended Mittag-Leffler function. The results about fractional integral operators for s-convex, m-convex, $(s,m)$-convex, exponentially convex, exponentially s-convex, and convex functions are direct consequences of presented results.

【 授权许可】

CC BY