Author:
Andrić Maja,Farid Ghulam,Pečarić Josip
Abstract
Abstract
In this paper an extended generalized Mittag-Leffler function
$\begin{array}{}
\displaystyle
E_{\rho,\sigma,\tau}^{\delta,r,q,c}(z;p)
\end{array}$ and the corresponding fractional integral operator
$\begin{array}{}
\displaystyle
\varepsilon_{a^{+},\rho,\sigma,\tau}^{w,\delta,q,r,c}f
\end{array}$ are defined and used to obtain generalizations of Opial-type inequalities due to Mitrinović and Pečarić. Also, some interesting properties of this function and its integral operator are discussed. Several known results are deduced.
Subject
Applied Mathematics,Analysis
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