A quantitative asymptotic formula for a general class of discrete operators

DOI10.1016/j.camwa.2010.09.043zbMath1207.41015OpenAlexW2047627285MaRDI QIDQ630669

Ilaria Mantellini, Carlo Bardaro

Publication date: 19 March 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.09.043

zbMATH Keywords

momentsPeetre \(K\)-functionaldiscrete operatorsVoronovskaja type formula

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Approximation by operators (in particular, by integral operators) (41A35)

Related Items

Asymptotic formulae for linear combinations of generalized sampling operators, On linear combinations of multivariate generalized sampling type series, Convergence theorems in Orlicz and Bögel continuous functions spaces by means of Kantorovich discrete type sampling operators, Reconstruction of two approximation processes in order to reproduce e^ax and e^2ax, a>0, On sequences of J. P. King-type operators

Cites Work

• A Voronovskaya-type theorem for a general class of discrete operators
• General King-type operators
• Linear operators that preserve some test functions
• Korovkin-type approximation theory and its applications
• Positive linear operators which preserve \(x^2\)
• Szász-Mirakjan type operators providing a better error estimation
• Exact interpolation theorems for Lipschitz continuous functions
• LACK OF INTERPOLATION OF LINEAR OPERATORS IN SPACES OF SMOOTH FUNCTIONS
• Generalization of Bernstein's polynomials to the infinite interval
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