On the Jensen convexity of quasideviation and Bajraktarević means

DOI10.1007/s00010-023-00970-1arXiv2302.10061MaRDI QIDQ6185273

Paweł Pasteczka, Zsolt Páles

Publication date: 8 January 2024

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

Full work available at URL: https://arxiv.org/abs/2302.10061

zbMATH Keywords

Bernstein-Doetsch theoremBajraktarević meanquasiarithmetic meanJensen-convexityquasideviation mean

Mathematics Subject Classification ID

Functional inequalities, including subadditivity, convexity, etc. (39B62) Means (26E60) Convexity of real functions of several variables, generalizations (26B25)

Cites Work

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• On Kedlaya-type inequalities for weighted means
• General inequalities for quasideviation means
• On the Jensen convex and Jensen concave envelopes of means
• Subadditive Mittelwerte. (Subadditive mean values)
• A general inequality for means
• Di una formula comprensiva delle medie
• Characterization of the Hardy property of means and the best Hardy constants
• Characterization of quasideviation means
• On the best Hardy constant for quasi-arithmetic means and homogeneous deviation means
• On weighted quasi-arithmetic means which are convex

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