Hadamard and Fejér–Hadamard inequalities for extended generalized fractional integrals involving special functions

被引：0
作者：
Shin Min Kang
Ghulam Farid
Waqas Nazeer
Bushra Tariq
机构：
[1] Gyeongsang National University,Department of Mathematics and Research Institute of Natural Science
[2] China Medical University,Center for General Education
[3] COMSATS University,Department of Mathematics
[4] University of Education,Division of Science and Technology
[5] GGPS Kamalpur Alam,undefined
来源：
Journal of Inequalities and Applications | / 2018卷
关键词：
Convex function; -convex functions; Hadamard inequality; Fejér–Hadamard inequality; Fractional integrals; Extended generalized Mittag-Leffler function; 26A51; 26A33; 33E15; 26D15;
D O I：
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摘要：
In this paper we prove the Hadamard and the Fejér–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.
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