An extension of the Hermite-Hadamard inequality for a power of a convex function

DOI10.1515/math-2022-0542zbMath1528.26031OpenAlexW4318833232MaRDI QIDQ6049687

Mehdi Dehghanian, Siriluk Paokanta, Yamin Sayyari, Chun-Gil Park

Publication date: 15 September 2023

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

Full work available at URL: https://doi.org/10.1515/math-2022-0542

zbMATH Keywords

error functionconvex functionJensen inequalitypower functionHermite-Hadamard inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Inequalities involving other types of functions (26D07)

Related Items (1)

fgh -Convex Functions and Entropy Bounds

Cites Work

• The Hermite-Hadamard inequality for \(r\)-convex functions
• An elementary inequality
• An extension of the Hermite-Hadamard inequality for convex symmetrized functions
• Refinements of quantum Hermite-Hadamard-type inequalities
• Fractional Hermite-Hadamard-type inequalities for interval-valued co-ordinated convex functions
• Extensions of the Hermite-Hadamard inequality for convex functions via fractional integrals
• On generalized Hermite-Hadamard inequality for generalized convex function
• REFINEMENTS OF HERMITE-HADAMARD TYPE INEQUALITIES FOR CONVEX FUNCTIONS VIA FRACTIONAL INTEGRALS

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