Inverse theorems for multidimensional Bernstein-Durrmeyer operators in \(L_ p\)
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Publication:1191741
DOI10.1016/0021-9045(92)90057-UzbMath0762.41024MaRDI QIDQ1191741
Publication date: 27 September 1992
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Rate of convergence, degree of approximation (41A25) Approximation by positive operators (41A36)
Related Items (10)
Weighted A-statistical convergence and Bögel approximation by operators of exponential type ⋮ On a problem of Gonska ⋮ On convergence rate of approximation for two-dimensional Baskakov operators ⋮ Local smoothness of functions and Bernstein-Durrmeyer operators ⋮ Unnamed Item ⋮ Applications of the Bernstein-Durrmeyer operators in estimating the norm of Mercer kernel matrices ⋮ Approximation order for multivariate Durrmeyer operators with Jacobi weights ⋮ L p approximation by general Bernstein-Durrmeyer operator defined on simplex ⋮ Generalized Bernstein-Durrmeyer operators and the associated limit semigroup ⋮ Converse theorems for multidimensional Kantorovich operators
Cites Work
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- Bernstein-type operators and their derivatives
- On multivariate approximation by Bernstein-type polynomials
- Uniform approximation by positive operators on infinite intervals
- Inverse theorems for multidimensional Bernstein operators
- On a general class of multivariate linear smoothing operators
- A global inverse theorem for combinations of Bernstein polynomials
- An elementary proof of the inverse theorem for Bernstein polynomials
- Sur l'approximation de fonctions intégrables sur l'interval-0,1-ferme par des polynômes de Bernstein modifies
- Problems and solutions concerning Kantorovich operators
- An interpolation theorem and its applications to positive operators
- A characterization of weighted Peetre K-functionals
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