Approximation of Lebesgue integrable functions by Bernstein-Lototsky-Kantorovich operators

DOI10.1007/s12215-022-00747-6OpenAlexW4224863291MaRDI QIDQ2695254

Yanyan Li

Publication date: 30 March 2023

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-022-00747-6

zbMATH Keywords

Lebesgue integrable function\((C1)\) transformLototsky-Bernstein bases

Mathematics Subject Classification ID

Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Cites Work

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• Weighted approximation by analogues of Bernstein operators for rational functions
• On Lototsky-Bernstein operators and Lototsky-Bernstein bases
• Shape preserving properties of univariate Lototsky-Bernstein operators
• Approximation of analytic functions by Bernstein-type operators
• The Lototsky Transform and Bernstein Polynomials
• Korovkin-type Theorems and Approximation by Positive Linear Operators

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