Hadamard and Fejér-Hadamard inequalities for extended generalized fractional integrals involving special functions

DOI10.1186/s13660-018-1701-3zbMath1497.26029OpenAlexW2804582775WikidataQ55098817 ScholiaQ55098817MaRDI QIDQ824577

Bushra Tariq, Ghulam Farid, Waqas Nazeer, Kang, Shin Min

Publication date: 15 December 2021

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

Full work available at URL: https://doi.org/10.1186/s13660-018-1701-3

zbMATH Keywords

convex functionHadamard inequalityfractional integrals\(m\)-convex functionsextended generalized Mittag-Leffler functionFejér-Hadamard inequality

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) Fractional ordinary differential equations (34A08)

Related Items (24)

Further generalizations of Hadamard and Fejér-Hadamard fractional inequalities and error estimates ⋮ Strongly reciprocally \(p\)-convex functions and some inequalities ⋮ On generalized strongly \(p\)-convex functions of higher order ⋮ Chebyshev type inequalities involving extended generalized fractional integral operators ⋮ Some properties of \(\eta\)-convex stochastic processes ⋮ Fractional integral versions of Hermite-Hadamard type inequality for generalized exponentially convexity ⋮ Fractional generalized Hadamard and Fejér-Hadamard inequalities for \(m\)-convex functions ⋮ Boundedness of fractional integral operators containing Mittag-Leffler functions via \((s,m)\)-convexity ⋮ Some new Chebyshev type inequalities for fractional integral operator containing a further extension of Mittag-Leffler function in the kernel ⋮ The strong convex functions and related inequalities ⋮ 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 ⋮ Fractional Hadamard and Fejér-Hadamard inequalities associated with exponentially \((s,m)\)-convex functions ⋮ A modified class of Ostrowski-type inequalities and error bounds of Hermite-Hadamard inequalities ⋮ Unnamed Item ⋮ Generalized fractional inequalities for quasi-convex functions ⋮ Numerical approximation of fractional-order Volterra integrodifferential equation ⋮ On Caputo-Fabrizio fractional integral inequalities of Hermite-Hadamard type for modified \(h\)-convex functions ⋮ Hadamard inequalities for strongly \((\alpha, m)\)-convex functions via Caputo fractional derivatives ⋮ Some inequalities related to interval-valued \(\eta_h\)-convex functions ⋮ Hermite-Hadamard- and Jensen-type inequalities for interval \((h_1,h_2)\) nonconvex function ⋮ Fractional inequalities associated with a generalized Mittag-Leffer function and applications ⋮ Non-conformable integral inequalities of Chebyshev-Pólya-Szegö type

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