Giaccardi inequality for generalized convex functions and related results

DOI10.1186/s13660-023-03038-5OpenAlexW4387669310MaRDI QIDQ6182501

Wasim Iqbal, Atiq Ur Rehman

Publication date: 21 December 2023

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

Full work available at URL: https://doi.org/10.1186/s13660-023-03038-5

zbMATH Keywords

Giaccardi inequalitymodified \((h, m)\)-convex functionsmodified \(h\)-convex functions

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25) Other analytical inequalities (26D20) Inequalities involving other types of functions (26D07)

Cites Work

• Giaccardi's inequality for convex-concave antisymmetric functions and applications
• On \(h\)-convexity
• Convex functions, partial orderings, and statistical applications
• Some remarks on \(s\)-convex functions
• Inequality of Petrović and Giaccardi for convex function of higher order
• Giaccardi inequality for modified \(h\)-convex functions and mean value theorems
• Hermite-Hadamard inequalities for relative semi-convex functions and applications
• The hierarchy of convexity and some classic inequalities
• The Hermite-Hadamard inequalities for $p$-convex functions
• The sharper form of a Brunn-Minkowski type inequality for boxes
• The sharper version for generalized power mean inequalities with negative exponent
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