A generalization of \textit{GA}-convex functions and applications

DOI10.1007/S10957-024-02605-0MaRDI QIDQ6667568

H. Barsam, Y. Sayyari

Publication date: 20 January 2025

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

zbMATH Keywords

Jensen's inequality\textit{GA}-convex functiongeometrically mean

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Measures of information, entropy (94A17) Topological entropy (37B40) Convexity of real functions of several variables, generalizations (26B25) Other analytical inequalities (26D20)

Cites Work

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• On uniformly convex functions
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• Hermite-Hadamard type inequalities for new conditions on h-convex functions via $$\psi $$-Hilfer integral operators
• An extension of Jensen-Mercer inequality with applications to entropy
• On new refinement of the Jensen inequality using uniformly convex functions with applications

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