Fractional inequalities associated with a generalized Mittag-Leffer function and applications

DOI10.2298/FIL2008683FzbMath1499.26114MaRDI QIDQ5866200

Ghulam Farid, Shahid Mubeen, Erhan Set

Publication date: 13 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

Mittag-Leffler functionOstrowski inequalityHadamard inequalityfractional integrals

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Cites Work

• Straightforward proofs of Ostrowski inequality and some related results
• A new generalization of Ostrowski-type inequality involving functions of two independent variables
• Hadamard and Fejér-Hadamard inequalities for extended generalized fractional integrals involving special functions
• General fractional integral inequalities for convex and \(m\)-convex functions via an extended generalized Mittag-Leffler function
• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• An inequality of Ostrowski-Grüss' type and its applications to the estimation of error bounds for some special means and for some numerical quadrature rules
• A further extension of Mittag-Leffler function
• On a generalization of Mittag-Leffler function and its properties
• Über die Absolutabweichung einer differenzierbaren Funktion von ihrem Integralmittelwert
• Analytic Number Theory, Approximation Theory, and Special Functions
• The extended Mittag-Leffler function via fractional calculus
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