Approximation properties of a new type Bernstein-Stancu polynomials of one and two variables

被引：57

作者：

Gadjiev, A. D. ^{[1
]}

Ghorbanalizadeh, A. M. ^{[1
]}

机构：

[1] NAS, Inst Math & Mech, Baku, Azerbaijan

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 03期

关键词：

Bernstein-Stancu type polynomials; Modulus of continuity; Uniform approximation; Rate of convergence; Positive linear operators; Korovkin's theorem;

D O I：

10.1016/j.amc.2010.01.099

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new generalization of Bernstein-Stancu type polynomials for one and two variables are constructed and the theorems on convergence and the degree of convergence are established. In addition some numerical examples, corresponding to obtaining results are given. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：890 / 901

页数：12

共 9 条

[1]

Altomare F., 1994, DEGRUYTER STUDIES MA, V17, P266

[2]

[Anonymous], 1960, RUSSIAN MONOGRAPHS T

[3]

Babu GJ, 2002, J STAT PLAN INFER, V105, P377

[4]

IBRAHIM B, 2004, APPL MATH COMPUT, V156, P367

[5]

IPATOV AF, 1957, UC ZAP PETROZAVODSK, V4, P31

[6]

MATSUOKA M, 1993, LECT NOTES COMPUT SC, V743, P220

[7]

Stancu D.D., 1968, Rev. Roumaine Math. Pures Appl, V13, P1173

[8] A METHOD FOR OBTAINING POLYNOMIALS OF BERNSTEIN TYPE OF 2 VARIABLES [J].

STANCU, DD .

AMERICAN MATHEMATICAL MONTHLY, 1963, 70 (03) :260-&

[9]

VOLKOV VI, 1957, DOKL AKAD NAUK SSSR+, V115, P17

← 1 →