Hadamard and Fejer-Hadamard inequalities for extended generalized fractional integrals involving special functions

被引：38

作者：

Kang, Shin Min ^{[1
,2
,3
]}

Farid, Ghulam ^{[4
]}

Nazeer, Waqas ^{[5
]}

Tariq, Bushra ^{[6
]}

机构：

[1] Gyeongsang Natl Univ, Dept Math, Jinju, South Korea

[2] Gyeongsang Natl Univ, Res Inst Nat Sci, Jinju, South Korea

[3] China Med Univ, Ctr Gen Educ, Taichung, Taiwan

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

[5] Univ Educ, Div Sci & Technol, Lahore, Pakistan

[6] GGPS Kamalpur Alam, Attock, Pakistan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2018年

关键词：

Convex function; m-convex functions; Hadamard inequality; Fejer-Hadamard inequality; Fractional integrals; Extended generalized Mittag-Leffler function;

D O I：

10.1186/s13660-018-1701-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the Hadamard and the Fejer-Hadamard inequalities for the extended generalized fractional integral operator involving the extended generalized Mittag-Leffler function. The extended generalized Mittag-Leffler function includes many known special functions. We have several such inequalities corresponding to special cases of the extended generalized Mittag-Leffler function. Also there we note the known results that can be obtained.

引用

页数：11

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