An inequality involving Bernstein polynomials and box-convex functions

DOI10.1007/s00009-021-01929-9zbMath1503.41010OpenAlexW4205871762MaRDI QIDQ2067217

Bogdan Gavrea, Ioan Gavrea

Publication date: 17 January 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-021-01929-9

zbMATH Keywords

convex functionsBernstein operatorslinear positive operatorsMastroianni operators

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximation with constraints (41A29) Applications of functional analysis in probability theory and statistics (46N30) Convexity of real functions of several variables, generalizations (26B25)

Related Items (2)

On the integral representation and the Raşa, Jensen and Hermite-Hadamard inequalities for box-convex functions ⋮ Relations between the Bernstein polynomials and \(q\)-monotone functions

Cites Work

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• Bernsteinsche Potenzreihen
• On a convexity problem with applications to Mastroianni type operators
• A sharpening of a problem on Bernstein polynomials and convex functions

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