STECHKIN-MARCHAUD-TYPE INEQUALITIES OF WEIGHTED APPROXIMATION FOR BASKAKOV OPERATORS

被引：0

作者：

Guo, Feng ^{[1
]}

机构：

[1] Taizhou Univ, Dept Math, Linhai 317000, Zhejiang, Peoples R China

来源：

MATHEMATICAL INEQUALITIES & APPLICATIONS | 2012年 / 15卷 / 02期

关键词：

Baskakov operators; Stechkin-Marchaud-type inequality; weighted modulus of smoothness; K-functional; STRONG CONVERSE INEQUALITIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce omega(2)(phi lambda) (f;t)w,lambda and prove a generalization of weighed StechkinMarchaud- type inequality for Baskakov operators, from which the inverse result of Baskakov operators with omega(2)(phi lambda) (f;t)w,lambda is obtained.

引用

页码：487 / 497

页数：11

共 9 条

[1]

BASKAKOV VA, 1957, DOKL AKAD NAUK SSSR+, V113, P249

[2] GLOBAL APPROXIMATION THEOREMS FOR SZASZ-MIRAKJAN AND BASKAKOV OPERATORS IN POLYNOMIAL WEIGHT SPACES [J].

BECKER, M .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1978, 27 (01) :127-142

[3] STRONG CONVERSE INEQUALITIES [J].

DITZIAN, Z ;

IVANOV, KG .

JOURNAL D ANALYSE MATHEMATIQUE, 1993, 61 :61-111

[4]

DITZIAN Z., 1979, CAN J MATH, V2, P255

[5]

Ditzian Z., 1987, Springer Series in Computational Mathematics

[6] STRONG CONVERSE INEQUALITIES [J].

TOTIK, V .

JOURNAL OF APPROXIMATION THEORY, 1994, 76 (03) :369-375

[7]

VAN WICKEREN E., 1986, CONSTR APPROX, V48, P331

[8]

[王建军 Wang Jianjun], 2004, [数学研究与评论, Journal of Mathematical Research and Exposition], V24, P710

[9]

Xun P. C., 1995, ACTA MATH APPL SIN-E, V18, P127

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