Generalized fractional integral inequalities for exponentially \((s,m)\)-convex functions

DOI10.1186/S13660-020-02335-7zbMath1503.26071OpenAlexW3030694278MaRDI QIDQ2069349

Ghulam Farid, Xiaoli Qiang, Saira Bano Akbar, Josip E. Pečarić

Publication date: 20 January 2022

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-020-02335-7

zbMATH Keywords

Mittag-Leffler functionboundednessfractional integral operators\((s,m)\)-convex function

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Mittag-Leffler functions and generalizations (33E12) Other functions defined by series and integrals (33E20) Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51)

Related Items (17)

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Cites Work

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• Mittag-Leffler functions and their applications
• 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
• Some remarks on \(s\)-convex functions
• Hermite-Hadamard type inequalities for exponentially \(p\)-convex functions and exponentially \(s\)-convex functions in the second sense with applications
• Boundedness of fractional integral operators containing Mittag-Leffler functions via \((s,m)\)-convexity
• A further extension of Mittag-Leffler function
• On a generalization of Mittag-Leffler function and its properties
• The extended Mittag-Leffler function via fractional calculus

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