Simultaneous approximation by polynomial projection operators

被引：0

作者：

Xie, TF

Zhou, SP

机构：

[1] HANGZHOU UNIV,DEPT MATH,ZHEJIANG 310028,PEOPLES R CHINA

[2] HANGZHOU UNIV,DEPT MATH,HANGZHOU 310028,ZHEJIANG,PEOPLES R CHINA

来源：

MATHEMATISCHE NACHRICHTEN | 1996年 / 181卷

关键词：

simultaneous approximation; polynomial projection operator;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Pointwise estimates are obtained for simultaneous approximation of a function f and its derivatives by means of an arbitrary sequence of bounded projection operators with some extra condition (1.3) (we do not require the operators to be linear) which map C-[-1,C-1] into polynomials of degree n, augmented by the interpolation of f at some points near +/- 1. The present result essentially improved those in [BaKi3], and several applications are discussed in Section 4.

引用

页码：289 / 303

页数：15

共 50 条

[41] Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions
Heiner Gonska
Radu Păltănea
Czechoslovak Mathematical Journal, 2010, 60 : 783 - 799
[42] SIMULTANEOUS STATISTICAL APPROXIMATION OF ANALYTIC FUNCTIONS IN ANNULUS BY k-LINEAR OPERATORS
Kosar, Cem
Kosar, Nida Palamut
JOURNAL OF MATHEMATICAL ANALYSIS, 2019, 10 (02): : 46 - 57
[43] SIMULTANEOUS APPROXIMATION BY A CLASS OF BERNSTEIN-DURRMEYER OPERATORS PRESERVING LINEAR FUNCTIONS
Gonska, Heiner
Paltanea, Radu
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2010, 60 (03) : 783 - 799
[44] Exact orders in simultaneous approximation by complex q-Durrmeyer type operators
Ren, Mei-Ying
Zeng, Xiao-Ming
Zeng, Liang
JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2014, 16 (05) : 895 - 905
[45] Simultaneous statistical approximation of analytic functions and their derivatives by k-positive linear operators
Gadjiev, A. D.
AZERBAIJAN JOURNAL OF MATHEMATICS, 2011, 1 (01): : 57 - 66
[46] Strong estimates of the weighted simultaneous approximation by the Bernstein and Kantorovich operators and their iterated Boolean sums
Draganov, Borislav R.
JOURNAL OF APPROXIMATION THEORY, 2015, 200 : 92 - 135
[47] Approximation with certain exponential operators
Gupta, Vijay
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 114 (02)
[48] Approximation with certain exponential operators
Vijay Gupta
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2020, 114
[49] SIMULTANEOUS APPROXIMATION WITH THE RAFU METHOD
Corbacho, E.
JOURNAL OF MATHEMATICAL INEQUALITIES, 2016, 10 (01): : 219 - 231
[50] Simultaneous approximation by algebraic polynomials
Kopotun, K
CONSTRUCTIVE APPROXIMATION, 1996, 12 (01) : 67 - 94

← 1 2 3 4 5 →