Study of fractional integral inequalities involving Mittag-Leffler functions via convexity

Journal of inequalities and applications

article

Zhihua Chen¹  Ghulam Farid²  Maryam Saddiqa³  Saleem Ullah³  Naveed Latif⁴ 

[1] Institute of Computing Science and Technology, Guangzhou University;Department of Mathematics, COMSATS University Islamabad, Attock Campus;Department of Mathematics, Air University;General Studies Department Jubail Industrial College

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

DOI  :  10.1186/s13660-020-02465-y

学科分类：电力

来源: SpringerOpen

【 摘 要 】

This paper studies fractional integral inequalities for fractional integral operators containing extended Mittag-Leffler (ML) functions. These inequalities provide upper bounds of left- and right-sided fractional integrals for $(\alpha, h-m)$ convex functions. A generalized fractional Hadamard inequality is established. All the results hold for h-convex, $(h, m)$ -convex, $(\alpha, m)$ -convex, $(s, m)$ -convex, and associated functions.

【 授权许可】

CC BY