A generalization of \(m\)-convexity and a sandwich theorem

DOI10.1515/AMSIL-2017-0003zbMath1370.26027OpenAlexW2605404661MaRDI QIDQ2404716

Nelson Merentes, Roy Quintero, Teodoro Lara, Małgorzata Wróbel, Janusz Matkowski

Publication date: 20 September 2017

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

Full work available at URL: https://doi.org/10.1515/amsil-2017-0003

zbMATH Keywords

functional equationconvexitysandwich theorem\(m\)-convexityfunctional inequalityconvexity with respect to a functioncharacterization of \(L^p\)-norm

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions of several variables, generalizations (26B25) Lifting theory (28A51)

Related Items (3)

\(M_{\varphi}M_{\psi}\)-convexity and separation theorems ⋮ Geodesic sandwich theorem with an application ⋮ Sandwich type results for \(m\)-convex real functions

Cites Work

• A functional inequality characterizing convex functions, conjugacy and a generalization of Hölder's and Minkowski's inequalities
• Sandwich theorem for \(m\)-convex functions
• Convex-like inequality, homogeneity, subadditivity, and a characterization of $L^p$-norm
• Linear functional inequalities–-a general theory and new special cases
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