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Polya-Szego 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.

Chebyshev's functional ; Polya-Szego type inequality ; Karamata's estimations ; Mittag-Leffler's function

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