Hermite-Hadamard inequality for new generalized conformable fractional operators

DOI10.3934/math.2021002zbMath1484.26073OpenAlexW3087890831MaRDI QIDQ2131430

Tahir Ullah Khan, Muhammad Adil Khan

Publication date: 26 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021002

zbMATH Keywords

Hermite-Hadamard inequalityRiemann-Liouville operatorsconformable integralgeneralized conformable fractional operators

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) Other analytical inequalities (26D20)

Related Items (8)

Fractional inequalities of the Hermite-Hadamard type for \(m\)-polynomial convex and harmonically convex functions ⋮ HERMITE–HADAMARD–FEJÉR-TYPE INEQUALITIES VIA KATUGAMPOLA FRACTIONAL INTEGRALS FOR S-CONVEX FUNCTIONS IN THE SECOND SENSE ⋮ DISCRETE HERMITE–HADAMARD-TYPE INEQUALITIES FOR (s,m)-CONVEX FUNCTION ⋮ Generalized conformable operators: application to the design of nonlinear observers ⋮ Fractional versions of Hadamard-type inequalities for strongly exponentially \((\alpha, h - m)\)-convex functions ⋮ New conticrete inequalities of the Hermite-Hadamard-Jensen-Mercer type in terms of generalized conformable fractional operators via majorization ⋮ Unnamed Item ⋮ NEW HERMITE–HADAMARD–FEJÉR TYPE INEQUALITIES VIA RIEMANN–LIOUVILLE FRACTIONAL INTEGRALS FOR CONVEX FUNCTIONS

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