On the classes of higher-order Jensen-convex functions and Wright-convex functions

DOI10.1016/j.jmaa.2012.06.028zbMath1259.26010arXiv1201.4032OpenAlexW2028451778MaRDI QIDQ450998

Szymon Wąsowicz, Kazimierz Nikodem, Teresa Rajba

Publication date: 26 September 2012

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

Full work available at URL: https://arxiv.org/abs/1201.4032

zbMATH Keywords

Hamel basisDirac measure\(n\)-Jensen-convex functions\(n\)-Wright-convex functions

Mathematics Subject Classification ID

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

Related Items (4)

On the classes of higher-order Jensen-convex functions and Wright-convex functions. II. ⋮ An elementary proof for the decomposition theorem of Wright convex functions ⋮ \(m\)-convex functions of higher order ⋮ Log-concavity for series in reciprocal gamma functions and applications

Cites Work

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• On Dinghas-type derivatives and convex functions of higher order.
• A generalization of multiple Wright-convex functions via randomization
• Decomposition of higher-order Wright-convex functions
• An application of the Choquet theorem to the study of randomly-superinvariant measures
• On some class of midconvex functions
• On convex functions of higher order
• Another Proof that Convex Functions are Locally Lipschitz

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