On approximation of integrable functions by modified Bernstein polynomials.
Singh, Suresh Prasad (1987)
Publications de l'Institut Mathématique. Nouvelle Série
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Displaying similar documents to “On approximation by modified Bernstein polynomials.”
On approximation of integrable functions by modified Bernstein polynomials.
A saturation theorem for combinations of Bernstein-Durrmeyer polynomials
P. N. Agrawal, Vijay Gupta (1992)
Annales Polonici Mathematici
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We prove a local saturation theorem in ordinary approximation for combinations of Durrmeyer's integral modification of Bernstein polynomials.
-approximation by iterative combination of Phillips operators.
Gupta, Vijay, Agrawal, P.N. (1992)
Publications de l'Institut Mathématique. Nouvelle Série
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On convergence of derivatives of linear combinations of modified Lupas operators.
Agrawal, P.N., Gupta, Vijay, Sahai, A. (1989)
Publications de l'Institut Mathématique. Nouvelle Série
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A pointwise approximation theorem for linear combinations of Bernstein polynomials.
Guo, Shunsheng, Yue, Shujie, Li, Cuixiang, Yang, Ge, Sun, Yiguo (1996)
Abstract and Applied Analysis
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Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions
Heiner Gonska, Radu Păltănea (2010)
Czechoslovak Mathematical Journal
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We introduce and study a one-parameter class of positive linear operators constituting a link between the well-known operators of S. N. Bernstein and their genuine Bernstein-Durrmeyer variants. Several limiting cases are considered including one relating our operators to mappings investigated earlier by Mache and Zhou. A recursion formula for the moments is proved and estimates for simultaneous approximation of derivatives are given.
On the approximation of continuous functions.
Lupaş, Alexandru (1986)
Publications de l'Institut Mathématique. Nouvelle Série
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On the degree of approximation by Bernstein operators.
Păltănea, Radu (1998)
General Mathematics
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On the Degre of L1-aproximation by Modified Bernstein Polynomials
Suresh Prasad Singh, O.P. Varshney, Govind Prasad (1983)
Publications de l'Institut Mathématique
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The Lower Estimate for Bernstein Operator
Gal, Sorin G., Tachev, Gancho T. (2013)
Mathematica Balkanica New Series
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MSC 2010: 41A10, 41A15, 41A25, 41A36 For functions belonging to the classes C2[0; 1] and C3[0; 1], we establish the lower estimate with an explicit constant in approximation by Bernstein polynomials in terms of the second order Ditzian-Totik modulus of smoothness. Several applications to some concrete examples of functions are presented.