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

被引：4

作者：

Chen, Zhihua ^{[1
]}

Farid, Ghulam ^{[2
]}

Saddiqa, Maryam ^{[3
]}

Ullah, Saleem ^{[3
]}

Latif, Naveed ^{[4
]}

机构：

[1] Guangzhou Univ, Inst Comp Sci & Technol, Guangzhou 510006, Peoples R China

[2] COMSATS Univ Islamabad, Dept Math, Attock Campus, Attock, Pakistan

[3] Air Univ, Dept Math, Islamabad, Pakistan

[4] Jubail Ind Coll, Gen Studies Dept, Jubail Ind City 31961, Jubail, Saudi Arabia

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2020年 / 2020卷 / 01期

关键词：

Convex function; (alpha; h - m)-convex function; Mittag-Leffler function; Fractional integral operators; HADAMARD-TYPE; EXTENSION; OPERATORS; (S;

D O I：

10.1186/s13660-020-02465-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 forh-convex, (h, m)-convex,( alpha,m)-convex, (s, m)-convex, and associated functions.

引用

页数：13

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