Strongly \(M_\varphi M_\psi\)-convex functions, the Hermite-Hadamard-Fejér inequality and related results

DOI10.2478/amsil-2023-0019MaRDI QIDQ6596100

Mea Bombardelli, Sanja Varošanec

Publication date: 2 September 2024

Published in: Annales Mathematicae Silesianae (Search for Journal in Brave)

zbMATH Keywords

quasi-arithmetic meanMN-convex functionstrongly \(M_\varphi M_\psi\)-convex functionthe Hermite-Hadamard-Fejér inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

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• Remarks on strongly convex functions
• \(M_{\varphi}M_{\psi}\)-convexity and separation theorems
• Probabilistic characterization of strong convexity
• Sandwich theorem for reciprocally strongly convex functions
• Simple proof and refinement of Hermite-Hadamard inequality
• Hermite-Hadamard type inequalities for multidimensional strongly h-convex functions
• Convex functions and their applications. A contemporary approach

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