Popoviciu's inequality for functions of several variables

DOI10.1016/J.JMAA.2009.10.069zbMath1184.26006OpenAlexW2041182666MaRDI QIDQ847791

Florin Popovici, Constantin P. Niculescu, Mihály Bencze

Publication date: 19 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.10.069

zbMATH Keywords

Convex functions2D-convexityChoquet's theoryPopoviciu's inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Convexity of real functions in one variable, generalizations (26A51) Convexity of real functions of several variables, generalizations (26B25)

Related Items (7)

New extensions of Popoviciu's inequality ⋮ New generalizations of Popoviciu type inequalities via new Green functions and Fink's identity ⋮ Composition operators, convexity of their Berezin range and related questions ⋮ New generalizations of Popoviciu-type inequalities via new Green's functions and Montgomery identity ⋮ Operator Popoviciu's inequality for superquadratic and convex functions of selfadjoint operators in Hilbert spaces ⋮ A new look at the Hardy-Littlewood-Pólya inequality of majorization ⋮ A new look at Popoviciu's concept of convexity for functions of two variables

Cites Work

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• Convex functions, partial orderings, and statistical applications
• On the extension of operators with a finite-dimensional range
• The integral version of Popoviciu's inequality
• The Hermite—Hadamard Inequality on Simplices
• Two Dimensional Spaces are Quadrilateral Spaces
• Inverse spectral problem for normal matrices and the Gauss-Lucas theorem
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications
• Convex functions and their applications. A contemporary approach

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