On convex functions of higher order

DOI10.7153/mia-11-19zbMath1141.26304OpenAlexW2325617934MaRDI QIDQ3504144

Attila Gilányi, Zsolt Páles

Publication date: 11 June 2008

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/mia-11-19

zbMATH Keywords

Wright-convexityJensen-convexityonvexity of higher order

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)

Related Items (15)

Characterizations of higher-order convexity properties with respect to Chebyshev systems ⋮ NEW INEQUALITIES ON GENERALIZED m-CONVEXITY ON FRACTAL SETS ⋮ Decomposition of higher-order Wright-convex functions ⋮ Strongly convex functions of higher order ⋮ Implications between generalized convexity properties of real functions ⋮ On convexity properties with respect to a Chebyshev system ⋮ On Some Recent Applications of Stochastic Convex Ordering Theorems to Some Functional Inequalities for Convex Functions: A Survey ⋮ On the classes of higher-order Jensen-convex functions and Wright-convex functions ⋮ A generalization of multiple Wright-convex functions via randomization ⋮ New integral representations of \(n\)th order convex functions ⋮ Approximate convexity of Takagi type functions ⋮ An elementary proof for the decomposition theorem of Wright convex functions ⋮ \(m\)-convex functions of higher order ⋮ Convexity properties of functions defined on metric abelian groups ⋮ Decomposition of higher-order wright convex functions revisited

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