Intermediate Voronovskaja type results for the Lototsky-Bernstein type operators

DOI10.1007/S13398-019-00748-8zbMath1434.41019OpenAlexW2993601858MaRDI QIDQ2293111

Dumitru Popa

Publication date: 6 February 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-019-00748-8

zbMATH Keywords

asymptotic formulaBernstein-type operatorsVoronovskaja type theorempositive linear operatorsKorovkin approximation theorem

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25) Approximation by operators (in particular, by integral operators) (41A35) Approximation by positive operators (41A36)

Related Items (1)

The Korovkin parabola envelopes method and Voronovskaja-type results

Cites Work

• Korovkin-type approximation theory and its applications
• A generalization of the Bernstein polynomials
• Shape preserving properties of univariate Lototsky-Bernstein operators
• Applications of the Shorgin identity to Bernstein type operators
• Bernstein type asymptotic evaluations for linear positive operators on \(C\left[ \alpha ,\beta \right\)]
• An intermediate Voronovskaja type theorem
• Approximation of analytic functions by Bernstein-type operators
• The Lototsky Transform and Bernstein Polynomials

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