On a convexity problem in connection with some linear operators

DOI10.1016/j.jmaa.2018.01.010zbMath1388.41014OpenAlexW2783562360MaRDI QIDQ1706360

Bogdan Gavrea

Publication date: 22 March 2018

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.2018.01.010

zbMATH Keywords

convex functionsBernstein operatorsMeyer-König and Zeller operatorslinear positive operatorsMirakyan-Favard-Szász operators

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Approximation by positive operators (41A36)

Related Items (9)

On q-monotonicity of α-Bernstein operators ⋮ An extension of Raşa's conjecture to \(q\)-monotone functions ⋮ On the integral representation and the Raşa, Jensen and Hermite-Hadamard inequalities for box-convex functions ⋮ On a convexity problem with applications to Mastroianni type operators ⋮ A generalization of an inequality related to a conjecture involving convex functions ⋮ On the Raşa inequality for higher order convex functions ⋮ An inequality involving Bernstein polynomials and box-convex functions ⋮ Convex order for convolution polynomials of Borel measures ⋮ On the Raşa inequality for higher order convex functions. II

Cites Work

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• A solution to the problem of Raşa connected with Bernstein polynomials
• An inequality involving Bernstein polynomials and convex functions
• Bernsteinsche Potenzreihen
• Bernstein Power Series

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