Support-type properties of generalized convex functions

DOI10.1016/J.JMAA.2009.10.070zbMath1188.26009OpenAlexW2164042525MaRDI QIDQ847794

Szymon Wąsowicz

Publication date: 19 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.10.070

zbMATH Keywords

generalized convexityconvexitysupport theoremChebyshev systemosculatory interpolationcharacterization of convexityunique supports

Mathematics Subject Classification ID

Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)

Related Items (4)

Inequalities between remainders of quadratures ⋮ Unnamed Item ⋮ Unnamed Item ⋮ New integral representations of \(n\)th order convex functions

Cites Work

• The Hermite-Hadamard inequality in Beckenbach's setting
• Support-type properties of convex functions of higher order and Hadamard-type inequalities
• Hermite-Hadamard inequalities for generalized convex functions
• Quasilinearity & Hadamard's inequality
• Hadamard-type inequalities for generalized convex functions
• Characterizations of convexity via Hadamard's inequality
• Extending n-convex functions
• Generalized convex functions
• On n-Parameter Families of Functions and Associated Convex Functions
• Support, Convergence, and Differentiability Properties of Generalized Convex Functions
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