Approximation of continuous functions by generalized Favard operators
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Publication:1163703
DOI10.1016/0021-9045(82)90081-8zbMath0484.41019OpenAlexW2010307184MaRDI QIDQ1163703
Ulrich Stadtmüller, Wolfgang Gawronski
Publication date: 1982
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(82)90081-8
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36) Approximation by other special function classes (41A30) Conjugate functions, conjugate series, singular integrals (42A50) Saturation in approximation theory (41A40)
Related Items
Theorems for generalized Favard-Kantorovich and Favard-Durrmeyer operators in exponential function spaces, On the uniform modulus of continuity of certain discrete approximation operators, A Brief History of the Favard Operator and Its Variants, A Voronovskaya-type theorem in simultaneous approximation, Complete asymptotic expansion for generalized Favard operators, On the generalized Favard-Kantorovich and Favard-Durrmeyer operators in exponential function spaces, Unnamed Item, Strong laws for density estimators of Bernstein type, Asymptotic properties of nonparametric curve estimates
Cites Work
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- A note on the degree of approximation with an optimal, discrete polynomial
- Sur le multiplicateurs d'interpolation
- Bernstein-Type Polynomials Having O(n-2) as Saturation Order
- Saturation and Inverse Theorems for Combinations of a Class of Exponential-Type Operators
- Saturation for Farvard operators in weighted function spaces
- Generalization of Bernstein's polynomials to the infinite interval
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