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http://dx.doi.org/10.11568/kjm.2019.27.4.843

SOME NEW ESTIMATES FOR EXPONENTIALLY (ħ, m)-CONVEX FUNCTIONS VIA EXTENDED GENERALIZED FRACTIONAL INTEGRAL OPERATORS  

Rashid, Saima (Department of Mathematics COMSATS University)
Noor, Muhammad Aslam (Department of Mathematics COMSATS University)
Noor, Khalida Inayat (Department of Mathematics COMSATS University)
Publication Information
Korean Journal of Mathematics / v.27, no.4, 2019 , pp. 843-860 More about this Journal
Abstract
In the article, we present several new Hermite-Hadamard and Hermite-Hadamard-Fejér type inequalities for the exponentially (ħ, m)-convex functions via an extended generalized Mittag-Leffler function. As applications, some variants for certain typ e of fractional integral operators are established and some remarkable special cases of our results are also have been obtained.
Keywords
convex function; exponentially convex function; exponentially (h, m)-convex function; generalized Mittag-Leffler function; generalized fractional integral operators; Hadamard-$Fej{\acute{e}}r$ inequality;
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Times Cited By KSCI : 1  (Citation Analysis)
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