On a conjecture concerning the sum of the squared Bernstein polynomials

DOI10.1016/j.amc.2014.05.003zbMath1334.41005OpenAlexW2064858511WikidataQ122955864 ScholiaQ122955864MaRDI QIDQ279251

Ioan Gavrea, Mircea Ivan

Publication date: 27 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.05.003

zbMATH Keywords

Bernstein polynomialsKing operatorsMeyer-König and Zeller operatorsMirakjan-Favard-Sszász operators

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Approximation by positive operators (41A36)

Related Items (12)

Complete monotonicity and zeros of sums of squared Baskakov functions ⋮ On a new sequence of positive linear operators related to squared Bernstein polynomials ⋮ On a combinatorial identity of Gavrea and Ivan and related results ⋮ Complete monotonicity of some entropies ⋮ The voting algorithm is robust to various noise models ⋮ An answer to an open problem on the multivariate Bernstein polynomials on a simplex ⋮ Entropies and Heun functions associated with positive linear operators ⋮ Convexity properties of some entropies. II ⋮ Remarks on a convexity theorem of Raşa ⋮ Heun functions related to entropies ⋮ Voronovskaja type theorems for positive linear operators related to squared Bernstein polynomials ⋮ Bounds for indices of coincidence and entropies

Cites Work

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• Positive linear operators which preserve \(x^2\)
• Sur le multiplicateurs d'interpolation
• Bernsteinsche Potenzreihen
• Applications of q-Calculus in Operator Theory
• Generalization of Bernstein's polynomials to the infinite interval
• Bernstein Power Series

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