A generalized Fejér-Hadamard inequality for harmonically convex functions via generalized fractional integral operator and related results

DOI10.3390/math6070122OpenAlexW2807005681MaRDI QIDQ6161991

Ghulam Farid, Waqas Nazeer, Kang, Shin Min, Ghulam Abbas

Publication date: 15 June 2023

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6070122

zbMATH Keywords

Mittag-Leffler functionHermite-Hadamard inequalityharmonically convex functionsgeneralized fractional integral operator

Mathematics Subject Classification ID

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

Related Items (11)

Numerical approximation of Riccati fractional differential equation in the sense of Caputo-type fractional derivative ⋮ Some properties of \(\eta\)-convex stochastic processes ⋮ Hermite-Jensen-Mercer type inequalities for Caputo fractional derivatives ⋮ Operator \((p,\eta)\)-convexity and some classical inequalities ⋮ Fractional integral inequalities of Hermite-Hadamard type for differentiable generalized \(h\)-convex functions ⋮ Some properties and inequalities for the \((h,s)\)-nonconvex functions ⋮ Generalized fractional Hadamard and Fejér-Hadamard inequalities for generalized harmonically convex functions ⋮ Hadamard inequalities for strongly \((\alpha, m)\)-convex functions via Caputo fractional derivatives ⋮ Inequalities for Riemann-Liouville fractional integrals of strongly \((s,m)\)-convex functions ⋮ Hadamard and Fejér-Hadamard inequalities for further generalized fractional integrals involving Mittag-Leffler functions ⋮ Hermite-Hadamard- and Jensen-type inequalities for interval \((h_1,h_2)\) nonconvex function

Cites Work

• 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-Fejer type inequalities for convex functions via fractional integrals
• Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
• Hermite-Hadamard type inequalities for harmonically convex functions
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