The iterative combinations of a new sequence of linear positive operators

被引：0

作者：

Gupta, MK ^{[1
]}

Vasishtha, V

机构：

[1] Ch Charan Singh Univ, Dept Math, Meerut 250004, Uttar Pradesh, India

[2] Hindu Coll, Dept Math, Moradabad 244001, India

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2004年 / 39卷 / 4-5期

关键词：

linear positive operators; bounded variation; total variation; rate of convergence; sharp bound;

D O I：

10.1016/S0895-7177(04)90523-7

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 study a new sequence of linear positive operators. We obtain a Voronovskaja type asymptotic formula and an estimate on error in terms of higher-order modulus of continuity for the iterative combinations of the new sequence of linear positive operators. Here, we also note that-the rates of convergence of these operators for bounded variation functions, for which one-sided limits f (x+) and f (x-) exist, are not analogous to the results of Gupta [1]. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：521 / 527

页数：7

共 7 条

[1] Agrawal P. N., 1984, Demonstr. Math., V17, P777
[2] Agrawal P. N, 2003, TURK J MATH, V27, P389
[3] Approximation of unbounded functions by a new sequence of linear positive operators
Agrawal, PN
Thamer, KJ
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1998, 225 (02) : 660 - 672
[4] GOLDBERG S, 1971, P LOND MATH SOC, V23, P1
[5] Rate of approximation by a new sequence of linear positive operators
Gupta, V
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2003, 45 (12) : 1895 - 1904
[6] Micchelli C.A., 1973, J. Approx. Theory, V8, P1
[7] TIMAN AF, 1966, THEORY APPROXIMATION

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