Pólya-Szegö and Chebyshev types inequalities via an extended generalized Mittag-Leffler function

In this paper certain Polya-Szego type integral inequalities due to Karamata's estimations of the Chebyshev quotient are presented. Those inequalities include an extended generalized Mittag-Leffler function with the corresponding fractional integral operator, and from them, some fractional integral inequalities of Chebyshev type are obtained. Also, several known results are improved.