Hadamard and Fejér-Hadamard type inequalities for harmonically convex functions via generalized fractional integrals

DOI10.1007/s41478-017-0032-yzbMath1368.26009OpenAlexW2620175105MaRDI QIDQ2363545

Yanyan Li

Publication date: 20 July 2017

Published in: The Journal of Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41478-017-0032-y

zbMATH Keywords

Hadamard inequalityfractional integral operatorsharmonically convex function

Mathematics Subject Classification ID

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

Related Items (12)

Hadamard and Fejér-Hadamard inequalities for generalized \(k\)-fractional integrals involving further extension of Mittag-Leffler function ⋮ Fractional integral versions of Hermite-Hadamard type inequality for generalized exponentially convexity ⋮ Improved Hermite Hadamard type inequalities for harmonically convex functions via Katugampola fractional integrals ⋮ \((p, h)\)-convex functions associated with Hadamard and Fejér-Hadamard inequalities via \(k\)-fractional integral operators ⋮ Fractional Hadamard and Fejér-Hadamard inequalities associated with exponentially \((s,m)\)-convex functions ⋮ Unnamed Item ⋮ Generalized fractional inequalities for quasi-convex functions ⋮ Generalized fractional Hadamard and Fejér-Hadamard inequalities for generalized harmonically convex functions ⋮ Hadamard and Fejér-Hadamard inequalities for further generalized fractional integrals involving Mittag-Leffler functions ⋮ New integral inequalities of Hermite-Hadamard type via the Katugampola fractional integrals for strongly \(\eta\)-quasiconvex functions ⋮ Hermite-Hadamard and Hermite-Hadamard-Fejer type inequalities for \(p\)-convex functions via conformable fractional integrals ⋮ New generalized fractional versions of Hadamard and Fejér inequalities for harmonically convex functions

Cites Work

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• Hermite-Hadamard type inequalities for harmonically convex functions via fractional integrals
• Fractional calculus with an integral operator containing a generalized Mittag-Leffler function in the kernel
• Fejér and Hermite-Hadamard type inequalities for harmonically convex functions
• Hermite-Hadamard's inequalities for fractional integrals and related fractional inequalities
• Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
• Opial-type inequalities for fractional integral operator involving Mittag-Leffler function
• Hermite-Hadamard type inequalities for harmonically convex functions

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