Extensions of Hermite-Hadamard inequalities for harmonically convex functions via generalized fractional integrals

DOI10.1186/s13660-021-02638-3zbMath1504.26078OpenAlexW3171223766WikidataQ114061339 ScholiaQ114061339MaRDI QIDQ2072873

Hüseyin Budak, Muhammad Aamir Ali, Yu-Ming Chu, Xuexiao You, Praveen Agarwal

Publication date: 26 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-021-02638-3

zbMATH Keywords

harmonically convex functionsHermite-Hadamard inequalitiesgeneralized fractional integrals

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)

Related Items (7)

Hermite-Hadamard-type inequalities for conformable integrals ⋮ Inequalities for generalized Riemann-Liouville fractional integrals of generalized strongly convex functions ⋮ On new general inequalities for \(s\)-convex functions and their applications ⋮ Coefficient Inequalities of a Comprehensive Subclass of Analytic Functions With Respect to Symmetric Points ⋮ Iterative algorithm for singularities of inclusion problems in Hadamard manifolds ⋮ Some aspects of nonsmooth variational inequalities on Hadamard manifolds ⋮ On a more accurate half-discrete Hilbert-type inequality involving hyperbolic functions

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