Jensen-Steffensen inequality for strongly convex functions

DOI10.1186/s13660-018-1897-2zbMath1498.26054OpenAlexW2901425562WikidataQ59810346 ScholiaQ59810346MaRDI QIDQ824870

N. E. Zubov

Publication date: 15 December 2021

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

Full work available at URL: https://doi.org/10.1186/s13660-018-1897-2

zbMATH Keywords

Jensen inequalitystrongly convex functionsJensen-Steffensen inequality

Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)

Related Items (3)

Refinements of some classical inequalities via superquadraticity ⋮ New versions of uniformly convex functions via quadratic complete homogeneous symmetric polynomials ⋮ Methods for nonnegative matrix factorization based on low-rank cross approximations

Cites Work

• A variant of Jensen-Steffensen's inequality and quasi-arithmetic means
• Characterizations of inner product spaces by strongly convex functions
• Remarks on strongly convex functions
• Convex functions, partial orderings, and statistical applications
• On Strongly Convex Functions and Related Classes of Functions
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