Generalized fractional integral inequalities of Hermite-Hadamard type for harmonically convex functions

DOI10.1186/s13662-020-02589-xzbMath1482.26049OpenAlexW3030369583MaRDI QIDQ2058192

Hüseyin Budak, Artion Kashuri, Dafang Zhao, Muhammad Aamir Ali

Publication date: 7 December 2021

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02589-x

zbMATH Keywords

harmonically convex functionsHermite-Hadamard inequalitiesgeneralized fractional integral

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) Inequalities involving derivatives and differential and integral operators (26D10) Systems of functional equations and inequalities (39B72)

Related Items (11)

On some Hermite-Hadamard type inequalities for \(\mathcal{T}\)-convex interval-valued functions ⋮ On Hermite-Hadamard type inequalities for interval-valued multiplicative integrals ⋮ Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions ⋮ Generalized fractional Hermite-Hadamard type inclusions for co-ordinated convex interval-valued functions ⋮ Some new parameterized Newton-type inequalities for differentiable functions via fractional integrals ⋮ SOME BULLEN-TYPE INEQUALITIES FOR GENERALIZED FRACTIONAL INTEGRALS ⋮ Fractional Hermite-Hadamard inequality, Simpson's and Ostrowski's type inequalities for convex functions with respect to a pair of functions ⋮ Generalized Hermite-Hadamard inclusions for a generalized fractional integral ⋮ Hermite-Hadamard Like Inequalities for Exponentially Subadditive Functions via Fractional Integrals ⋮ Unnamed Item ⋮ Some new generalized fractional Newton's type inequalities for convex functions

Cites Work

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