New refinements of the Hadamard inequality on coordinated convex function

DOI10.1186/s13660-019-2143-2zbMath1499.26090OpenAlexW2958041941WikidataQ127519658 ScholiaQ127519658MaRDI QIDQ2067948

Ahoud Almutairi, Adem Kilicman

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-2143-2

zbMATH Keywords

generalized convexityconvex 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 derivatives and differential and integral operators (26D10)

Related Items (3)

Generalized Hermite-Hadamard-type integral inequalities for \(h\)-Godunova-Levin functions ⋮ On new generalized unified bounds via generalized exponentially harmonically \(s\)-convex functions on fractal sets ⋮ New fractional inequalities of midpoint type via \(s\)-convexity and their application

Cites Work

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• Hermite-Hadamard's type inequalities for convex functions of selfadjoint operators in Hilbert spaces
• Convex functions, partial orderings, and statistical applications
• Two mappings in connection to Hadamard's inequalities
• On the Hadamard's inequality for convex functions on the co-ordinates in a rectangle from the plane
• Hermite-Hadamard, Hermite-Hadamard-Fejér, Dragomir-Agarwal and Pachpatte type inequalities for convex functions via new fractional integrals
• Simple proof and refinement of Hermite-Hadamard inequality

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