The complete asymptotic expansion for a general Durrmeyer variant of the Meyer-Konig and Zeller operators

被引：5

作者：

Abel, U

Gupta, V

Ivan, M

机构：

[1] Univ Appl Sci, Fachbereich MND, Fach Hsch Giessen Friedberg, D-61169 Friedberg, Germany

[2] Netaji Subhas Inst Technol, Sch Appl Sci, New Delhi 110045, India

[3] Tech Univ Cluj Napoca, Dept Math, Cluj Napoca 400020, Romania

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2004年 / 40卷 / 7-8期

关键词：

approximation by positive operators; rate of convergence; degree of approximation; asymptotic expansion;

D O I：

10.1016/j.mcm.2004.10.016

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In the present paper, we consider a general Durrmeyer type of the Meyer-Konig and Zeller operators and derive the complete asymptotic expansion for these operators. Previous Durr-meyer-type variants of the Meyer-Konig and Zeller operators are covered by the present definition. (C) Elsevier Ltd. All rights reserved.

引用

页码：867 / 875

页数：9

共 50 条

[1] The complete asymptotic expansion for the Meyer-Konig and Zeller operators
Abel, U
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1997, 208 (01) : 109 - 119
[2] ASYMPTOTIC APPROXIMATION WITH OPERATORS OF MEYER-KONIG AND ZELLER
SIKKEMA, PC
PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1970, 73 (05): : 428 - &
[3] Pointwise approximation theorems for Meyer-Konig and Zeller-Durrmeyer operators
Qi, Qiulan
Liu, Juan
PUBLICATIONES MATHEMATICAE-DEBRECEN, 2008, 73 (1-2): : 101 - 117
[4] Eigenfunctions of Durrmeyer-type modifications of Meyer-Konig and Zeller operators
Heilmann, M
JOURNAL OF APPROXIMATION THEORY, 2003, 125 (01) : 63 - 73
[5] The moments for the Meyer-Konig and Zeller operators
Guo, Shunsheng
Qi, Qiulan
APPLIED MATHEMATICS LETTERS, 2007, 20 (07) : 719 - 722
[6] ON BIVARIATE MEYER-KONIG AND ZELLER OPERATORS
Olgun, Ali
MISKOLC MATHEMATICAL NOTES, 2013, 14 (03) : 1021 - 1030
[7] 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
[8] THE MOMENTS FOR THE MEYER-KONIG AND ZELLER OPERATORS
ABEL, U
JOURNAL OF APPROXIMATION THEORY, 1995, 82 (03) : 352 - 361
[9] Approximation in variation by the Meyer-Konig and Zeller operators
Kivinukk, Andi
Metsmaegi, Tarmo
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2011, 60 (02) : 88 - 97
[10] Pointwise approximation by Meyer-Konig and Zeller operators
Guo, Shunsheng
Liu, Lixia
Wang, Zhiming
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2008, 29 (7-8) : 770 - 778

← 1 2 3 4 5 →