Convergence properties of certain positive linear operators

DOI10.1007/s00025-018-0931-5zbMath1404.41006OpenAlexW2903373827MaRDI QIDQ1633396

Nesibe Manav, Augusta Raţiu, Ana-Maria Acu

Publication date: 19 December 2018

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-018-0931-5

zbMATH Keywords

Ditzian-Totik modulus of smoothnessVoronovskaja type theoremlinear positive operators

Mathematics Subject Classification ID

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

Related Items

On sequences of J. P. King-type operators

Cites Work

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• The new forms of Voronovskaya's theorem in weighted spaces
• Quantitative \(q\)-Voronovskaya and \(q\)-Grüss-Voronovskaya-type results for \(q\)-Szász operators
• New estimates for the differences of positive linear operators
• Bernstein-type operators which preserve polynomials
• General King-type operators
• Positive linear operators which preserve \(x^2\)
• Local and global approximation for certain \((p,q)\)-Durrmeyer type operators
• Bezier variant of the Bernstein-Durrmeyer type operators
• Approximation of Baskakov type Pólya-Durrmeyer operators
• Grüss-type and Ostrowski-type inequalities in approximation theory
• Properties of discrete non-multiplicative operators
• Voronovskaya Type Theorems in Weighted Spaces
• Approximation Properties of the Modified Stancu Operators
• q-Voronovskaya type theorems forq-Baskakov operators
• Gr\"uss and Gr\"uss-Voronovskaya-type estimates for some Bernstein-type polynomials of real and complex variables
• Some approximation properties of a Durrmeyer variant of q‐Bernstein–Schurer operators