The approximation properties of generalized Bernstein polynomials of two variables

被引：15

作者：

Büyükyazici, I

Ibikli, E

机构：

[1] Gazi Univ, Fac Sci, Dept Math, TR-06500 Ankara, Turkey

[2] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 156卷 / 02期

关键词：

modulus of continuity; Bernstein polynomials; uniformly convergence; positive linear operators; rate of convergence;

D O I：

10.1016/j.amc.2003.07.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The positive linear operators of Bernstein type of two variables are considered and the theorems about approximation and about the order of approximation of the sequence of these operators are established. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：367 / 380

页数：14

共 50 条

[31] Comparison of approximation properties of generalized polynomials and splines
Babenko V.F.
Kofanov V.A.
Pichugov S.A.
Ukrainian Mathematical Journal, 1998, 50 (8) : 1151 - 1161
[32] On the approximation of differentiable functions by Bernstein polynomials and Kantorovich polynomials
S. A. Telyakovskii
Proceedings of the Steklov Institute of Mathematics, 2008, 260 : 279 - 286
[33] On the Approximation of Differentiable Functions by Bernstein Polynomials and Kantorovich Polynomials
Telyakovskii, S. A.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2008, 260 (01) : 279 - 286
[34] On the rate of approximation of functions by the Bernstein polynomials
S. A. Telyakovskii
Proceedings of the Steklov Institute of Mathematics, 2009, 264 : 177 - 184
[35] UNIFORM APPROXIMATION BY COMBINATIONS OF BERNSTEIN POLYNOMIALS
Xie Linsen (Lishui Teachers’ College
ApproximationTheoryandItsApplications, 1995, (03) : 36 - 51
[36] Approximation with Bernstein-Szego polynomials
Hoesel, Volker
Lasser, Rupert
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2006, 27 (3-4) : 377 - 389
[37] On the rate of approximation of functions by the Bernstein polynomials
Telyakovskii, S. A.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2009, 264 : 177 - 184
[38] On the rate of approximation of functions by the Bernstein polynomials
Telyakovskii, S. A.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2008, 14 (03): : 162 - 169
[39] How close is the approximation by Bernstein polynomials?
Jameson, G. J. O.
MATHEMATICAL GAZETTE, 2020, 104 (561): : 482 - 494
[40] POINT WISE APPROXIMATION BY BERNSTEIN POLYNOMIALS
Tachev, Gancho
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2012, 85 (03) : 353 - 358

← 1 2 3 4 5 →