The Lototsky Transform and Bernstein Polynomials

DOI10.4153/CJM-1966-011-1zbMath0134.05101OpenAlexW2334406657MaRDI QIDQ5344284

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Publication date: 1966

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

Full work available at URL: https://doi.org/10.4153/cjm-1966-011-1

zbMATH Keywords

approximation and series expansion

Related Items (14)

Generating functions method for classical positive operators, their \(q\)-analogues and generalizations ⋮ Positive linear operators and summability ⋮ Shape preserving properties of univariate Lototsky-Bernstein operators ⋮ Approximation properties of generalized blending type Lototsky-Bernstein operators ⋮ Weighted approximation by analogues of Bernstein operators for rational functions ⋮ 𝒜 $$\mathcal{A}$$ -Summability of Sequences of Linear Conservative Operators ⋮ Approximation of Lebesgue integrable functions by Bernstein-Lototsky-Kantorovich operators ⋮ On Lototsky-Bernstein operators and Lototsky-Bernstein bases ⋮ Applications of the Shorgin identity to Bernstein type operators ⋮ On asymptotic formulae via summability ⋮ Intermediate Voronovskaja type results for the Lototsky-Bernstein type operators ⋮ The Korovkin parabola envelopes method and Voronovskaja-type results ⋮ Zur Lototsky-Transformation über kompakten Räumen von Wahrscheinlichkeitsmaßen ⋮ Approximation of analytic functions by Bernstein-type operators

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