On the Jensen functional and superquadraticity

DOI10.1007/s00010-015-0389-4zbMath1353.26011arXiv1502.07859OpenAlexW1957378285MaRDI QIDQ304014

Nicuşor Minculete, Flavia-Corina Mitroi-Symeonidis

Publication date: 23 August 2016

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

Full work available at URL: https://arxiv.org/abs/1502.07859

zbMATH Keywords

Jensen functionalChebychev functionalsuperquadratic function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions of several variables, generalizations (26B25)

Related Items (3)

Composition operators, convexity of their Berezin range and related questions ⋮ Around Jensen's inequality for strongly convex functions ⋮ On Csiszár and Tsallis type f-divergences induced by superquadratic and convex functions

Cites Work

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• Estimating the normalized Jensen functional
• Refinement of Inequalities Related to Convexity via Superquadracity, Weaksuperquadracity and Superterzacity
• Connections Between the Jensen and the Chebychev Functionals
• Bounds for the normalised Jensen functional
• On a Lower Bound for the Jensen Inequality
• Normalized Jensen Functional, Superquadracity and Related Inequalities
• An extension of Chebyshev's inequality and its connection with Jensen's inequality

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