Strong converse result for uniform approximation by Meyer-Konig and Zeller operator

被引：2

作者：

Gadjev, Ivan ^{[1
]}

机构：

[1] Univ Transport, Dept Math & Informat, Sofia 1574, Bulgaria

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 428卷 / 01期

关键词：

Meyer-Konig and Zeller operator; K-functional; Direct theorem; Strong converse theorem; INEQUALITIES;

D O I：

10.1016/j.jmaa.2015.03.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the approximation of functions in uniform norm by classical Meyer-Konig and Zeller operator. Using the closed connection between the approximation by Meyer-Konig and Zeller operator and the weighted approximation by Baskakov operator, we prove a strong converse inequality of type A in terms of the K-functional. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：32 / 42

页数：11

共 50 条

[1] Strong converse inequalities for Meyer-Konig and Zeller operators
Guo, Shunsheng
Li, Cuixiang
Qi, Qiulan
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 337 (02) : 994 - 1001
[2] Uniform approximation of functions by Meyer-Konig and Zeller operators
Holhos, Adrian
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 393 (01) : 33 - 37
[3] ON STRONG APPROXIMATION BY MODIFIED MEYER-KONIG AND ZELLER OPERATORS
Rempulska, L.
Skorupka, M.
[J]. TAMKANG JOURNAL OF MATHEMATICS, 2006, 37 (02): : 123 - 130
[4] Approximation in variation by the Meyer-Konig and Zeller operators
Kivinukk, Andi
Metsmaegi, Tarmo
[J]. PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 2011, 60 (02) : 88 - 97
[5] Pointwise approximation by Meyer-Konig and Zeller operators
Guo, Shunsheng
Liu, Lixia
Wang, Zhiming
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2008, 29 (7-8) : 770 - 778
[6] ASYMPTOTIC APPROXIMATION WITH OPERATORS OF MEYER-KONIG AND ZELLER
SIKKEMA, PC
[J]. PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1970, 73 (05): : 428 - &
[7] On the rate of approximation of Meyer-Konig and zeller operators
Zeng, Xiao-Ming
[J]. JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2008, 10 (04) : 527 - 535
[8] APPROXIMATION BY MEYER-KONIG AND ZELLER TYPE OPERATORS
TOTIK, V
[J]. MATHEMATISCHE ZEITSCHRIFT, 1983, 182 (03) : 425 - 446
[9] Weighted approximation by Meyer-Konig and Zeller type operators
Della Vecchia, Biancamaria
Duman, Oktay
[J]. STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2007, 44 (04) : 445 - 467
[10] Approximation theorems by Meyer-Konig and Zeller type operators
Ozarslan, M. Ali
Duman, Oktay
[J]. CHAOS SOLITONS & FRACTALS, 2009, 41 (01) : 451 - 456

← 1 2 3 4 5 →