scientific article; zbMATH DE number 6927792

zbMath1394.39027MaRDI QIDQ4583056

Evelin Pénzes, Mihály Bessenyei

Publication date: 27 August 2018

Full work available at URL: http://www.heldermann.de/JCA/JCA25/JCA253/jca25066.htm#jca251

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zbMATH Keywords

convex functionconvex separationJensen-affine function

Mathematics Subject Classification ID

Stability, separation, extension, and related topics for functional equations (39B82) Functional inequalities, including subadditivity, convexity, etc. (39B62) Other problems of combinatorial convexity (52A37) Convexity of real functions in one variable, generalizations (26A51)

Cites Work

• On \(h\)-convexity
• A sandwich theorem and Hyers-Ulam stability of affine functions
• \(P\)-functions, quasi-convex functions, and Hadamard-type inequalities
• Representation theorems for \(h\)-convexity
• On separation by h-convex functions
• The equality case in some recent convexity inequalities
• Bernstein-Doetsch type results for h-convex functions
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