On a generalization of sandwich type theorems

DOI10.1007/s00010-018-0553-8zbMath1405.46053OpenAlexW2801896724MaRDI QIDQ1662419

Mirosław Adamek

Publication date: 20 August 2018

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-018-0553-8

zbMATH Keywords

Hyers-Ulam stabilitysandwich theoremsaffine functions with a control functionconvex functions with a control function

Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Convexity of real functions of several variables, generalizations (26B25)

Related Items (4)

\(M_{\varphi}M_{\psi}\)-convexity and separation theorems ⋮ On slack $2$-geodesic convex set and geodesic $E$-pseudoconvex function with application ⋮ Characterization of affine differences and related forms ⋮ Characterization of inner product spaces and quadratic functions by some classes of functions

Cites Work

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• Strong convexity and separation theorems
• Characterizations of inner product spaces by strongly convex functions
• Remarks on strongly convex functions
• Strong convexity of sets and functions
• A sandwich theorem and Hyers-Ulam stability of affine functions
• On a problem connected with strongly convex functions
• Generalized convex functions
• Approximately Convex Functions

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