Bounds for Bernstein basis functions and Meyer-Konig and Zeller basis functions

被引：0

作者：

Zeng, XM ^{[1
]}

机构：

[1] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 1998年 / 219卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the inequality estimates of Bernstein basis functions and Meyer-Konig and Zeller basis functions are studied. Exact bounds for these two basis functions are obtained. Moreover. some application results of the new estimates in estimating the rate of convergence of Durrmeyer operators and Meyer-Koning and Zeller operators for functions of bounded variation are also given. (C) 1998 Academic Press.

引用

页码：364 / 376

页数：13

共 50 条

[31] Meyer-Konig and Zeller算子及Bernstein算子在内插空间中的逼近
张三敖
西北农业大学学报, 2000, (06) : 168 - 174
[32] THE 2ND MOMENT FOR THE MEYER-KONIG AND ZELLER OPERATORS
ALKEMADE, JAH
JOURNAL OF APPROXIMATION THEORY, 1984, 40 (03) : 261 - 273
[33] Rate of convergence of a Kantorovich variant of the Meyer-Konig and Zeller operators
Abel, U
Gupta, V
Ivan, M
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2005, 8 (01): : 135 - 146
[34] Approximation by Quantum Meyer-Konig-Zeller Fractal Functions
Kumar, Deependra
Chand, Arya K. B.
Massopust, Peter R.
FRACTAL AND FRACTIONAL, 2022, 6 (12)
[35] Statistical approximation by generalized Meyer-Konig and Zeller type operators
Dogru, O
Duman, O
Orhan, C
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2003, 40 (03) : 359 - 371
[36] Korovkin type error estimates for Meyer-Konig and Zeller operators
Agratini, O
MATHEMATICAL INEQUALITIES & APPLICATIONS, 2001, 4 (01): : 119 - 126
[37] Eigenfunctions of Durrmeyer-type modifications of Meyer-Konig and Zeller operators
Heilmann, M
JOURNAL OF APPROXIMATION THEORY, 2003, 125 (01) : 63 - 73
[38] Pointwise approximation theorems for Meyer-Konig and Zeller-Durrmeyer operators
Qi, Qiulan
Liu, Juan
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2008, 73 (1-2): : 101 - 117
[39] RATE OF CONVERGENCE FOR MEYER-KONIG AND ZELLER OPERATORS WITH JACOBI-WEIGHTS
Song Ruying(Taiyuan Teachers College
ApproximationTheoryandItsApplications, 2002, (03) : 52 - 64
[40] Strong converse result for uniform approximation by Meyer-Konig and Zeller operator
Gadjev, Ivan
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 428 (01) : 32 - 42

← 1 2 3 4 5 →