AN ASYMPTOTIC FORMULA FOR A CLASS OF APPROXIMATION PROCESSES OF KING'S TYPE

被引：6

作者：

Agratini, Octavian ^{[1
]}

机构：

[1] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania

来源：

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA | 2010年 / 47卷 / 04期

关键词：

Approximation process; statistical convergence; Voronovskaja-type fromula; OPERATORS; THEOREMS;

D O I：

10.1556/SScMath.2009.1142

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we present a general class of linear positive operators of discrete type reproducing the third test function of Korovkin theorem. In a certain weighted space it forms an approximation process. A Voronovskaja-type result is established and particular cases are analyzed.

引用

页码：435 / 444

页数：10

共 5 条

[1] AGRATINI O, 2007, INT J MATH MATH SCI, P11
[2] GLOBAL APPROXIMATION THEOREMS FOR SZASZ-MIRAKJAN AND BASKAKOV OPERATORS IN POLYNOMIAL WEIGHT SPACES
BECKER, M
[J]. INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1978, 27 (01) : 127 - 142
[3] Some approximation theorems via statistical convergence
Gadjiev, AD
Orhan, C
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2002, 32 (01) : 129 - 138
[4] Positive linear operators which preserve x2
King, JP
[J]. ACTA MATHEMATICA HUNGARICA, 2003, 99 (03) : 203 - 208
[5] SATURATION AND INVERSE THEOREMS FOR COMBINATIONS OF A CLASS OF EXPONENTIAL-TYPE OPERATORS
MAY, CP
[J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1976, 28 (06): : 1224 - 1250

← 1 →