Some integral inequalities for m-convex functions via generalized fractional integral operator containing generalized Mittag-Leffler function

被引：5

作者：

Abbas, G. ^{[1
]}

Farid, G. ^{[2
]}

机构：

[1] Govt Coll Bhalwal, Dept Math, Sargodha, Pakistan

[2] COMSATS Inst Informat Technol, Dept Math, Attock Campus, Attock, Pakistan

来源：

COGENT MATHEMATICS | 2016年 / 3卷

关键词：

convex functions; Hadamard inequality; fractional integral operators; Mittag-Leffler function; Primary; 26A51; 26A33; 33E12;

D O I：

10.1080/23311835.2016.1269589

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we are interested to prove some Hadamard and Fejer-Hadamard-type integral inequalities for m-convex functions via generalized fractional integral operator containing the generalized Mittag-Leffler function. In connection with we obtain some known results.

引用

页数：12

共 24 条

[21] Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities [J].

Sarikaya, Mehmet Zeki ;

Set, Erhan ;

Yaldiz, Hatice ;

Basak, Nagihan .

MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (9-10) :2403-2407

[22] Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel [J].

Srivastava, H. M. ;

Tomovski, Zivorad .

APPLIED MATHEMATICS AND COMPUTATION, 2009, 211 (01) :198-210

[23] On the nonlocal Katugampola fractional integral conditions for fractional Langevin equation [J].

Thaiprayoon, Chatthai ;

Ntouyas, Sotiris K. ;

Tariboon, Jessada .

ADVANCES IN DIFFERENCE EQUATIONS, 2015, :1-16

[24]

Toader G, 1984, P C APPROXIMATION OP, P329

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