Fractional Hermite-Hadamard inequalities containing generalized Mittag-Leffler function

DOI10.1186/s13660-017-1543-4zbMath1373.26028OpenAlexW2766120393WikidataQ47112864 ScholiaQ47112864MaRDI QIDQ2412863

Marcela V. Mihai, Khalida Inayat Noor, Muhammad Uzair Awan, Muhammad Aslam Noor

Publication date: 27 October 2017

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

Full work available at URL: https://doi.org/10.1186/s13660-017-1543-4

zbMATH Keywords

Mittag-Leffler functionHermite-Hadamard inequalitiesharmonic convex function

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)

Related Items (7)

Some parameterized integral inequalities for \(p\)-convex mappings via the right Katugampola fractional integrals ⋮ Improved Hermite Hadamard type inequalities for harmonically convex functions via Katugampola fractional integrals ⋮ New Riemann-Liouville fractional Hermite-Hadamard type inequalities for harmonically convex functions ⋮ Unnamed Item ⋮ Generalized fractional integral inequalities of Hermite-Hadamard type for harmonically convex functions ⋮ Some new fractional integral inequalities for exponentially \(m\)-convex functions via extended generalized Mittag-Leffler function ⋮ Generalized Simpson type inequalities involving Riemann-Liouville fractional integrals and their applications

Cites Work

• Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals
• Some integral inequalities for harmonic \(h\)-convex functions involving hypergeometric functions
• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• Non-connected convexities and applications
• The \((k,s)\)-fractional calculus of \(k\)-Mittag-Leffler function
• Generalized Hermite-Hadamard type inequalities involving fractional integral operators
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable Harmonically Convex Functions
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• New inequalities for co-ordinated convex functions via Riemann-Liouville fractional calculus
• Hermite-Hadamard type inequalities for harmonically convex functions
• Fractional Hermite-Hadamard inequalities for differentiable s-Godunova-Levin functions
• Some Hermite-Hadamard type inequalities obtain via Riemann-Liouville fractional calculus
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