Popoviciu's inequality for functions of several variables
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Publication:847791
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
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
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- 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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