\(M_{\varphi}M_{\psi}\)-convexity and separation theorems

DOI10.1186/s13660-022-02797-xzbMath1506.26007OpenAlexW4281295847WikidataQ113753454 ScholiaQ113753454MaRDI QIDQ2157753

Mea Bombardelli, Sanja Varošanec

Publication date: 22 July 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-022-02797-x

zbMATH Keywords

Hyers-Ulam stabilityseparation theoremquasi-arithmetic mean\(M_{\varphi}M_{\psi}\)-convex function

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)

Cites Work

• Remarks on strongly convex functions
• A sandwich theorem and Hyers-Ulam stability of affine functions
• On a generalization of sandwich type theorems
• A generalization of \(m\)-convexity and a sandwich theorem
• Refined convexity and special cases of the Blaschke-Santalo inequality
• On separation by h-convex functions
• Positivity of sums and integrals for convex functions of higher order of n variables
• Convex functions and their applications. A contemporary approach
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