On the Jensen-Steffensen inequality for generalized convex functions

DOI10.1007/s10998-007-3019-xzbMath1164.26019OpenAlexW2071775312MaRDI QIDQ950292

B. E. Eshmatov

Publication date: 22 October 2008

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-007-3019-x

zbMATH Keywords

Hölder's inequalityJensen-Steffensen inequalityČebyšev's inequality\(P\)-convex functionsfunctions with nondecreasing incrementsgeneralized quasiarithmetic means

Mathematics Subject Classification ID

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

Cites Work

• A variant of Jensen-Steffensen's inequality and quasi-arithmetic means
• Generalization of some results of H. Burkill and L. Mirsky and some related results
• On some inequalities for functions with nondecreasing increments
• Some inequalities for generalized convex functions of several variables
• Convex functions, partial orderings, and statistical applications
• Integral inequalities for functions with nondecreasing increments
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