engleski

On generalized Mittag-Leffler function associated with Opial, Polya-Szego and Chebyshev types inequalities

We define an extended generalized Mittag- Leffler function and the corresponding fractional integral operator and use them to obtain generalizations of Opial-type inequalities due to Mitrinović and Pečarić. Also we present certain Polya-Szego type integral inequalities due to Karamata's estimations of the Chebyshev quotient and obtain fractional integral inequalities of Chebyshev type.

Mittag-Leffler function ; Opial's inequality ; Chebyshev's functional ; Polya-Szego type inequality ; fractional calculus

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