A NOTE ON LIMITING PROPERTIES OF SOME BERNSTEIN-TYPE OPERATORS

被引：22

作者：

DELACAL, J

LUQUIN, F

机构：

[1] Departamento de Matemáticas, Facultad de Ciencias, Universidad del País Vasco, 48080 Bilbao

来源：

JOURNAL OF APPROXIMATION THEORY | 1992年 / 68卷 / 03期

关键词：

D O I：

10.1016/0021-9045(92)90108-Z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Some well-known Bernstein-type operators are exhibited as limits, in an appropriate sense, of other ones. This is readily made by using limit theorems of probability theory. Moreover, in two cases, rates of convergence are also obtained by using probabilistic tools. © 1992.

引用

页码：322 / 329

页数：8

共 8 条

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[3] Feller W., 1957, INTRO PROBABILITY TH, V1
[4] HAHN L, 1981, PAC J MATH, V101, P307
[5] A NOTE ON A BERNSTEIN-TYPE OPERATOR OF BLEIMANN, BUTZER, AND HAHN
KHAN, RA
[J]. JOURNAL OF APPROXIMATION THEORY, 1988, 53 (03) : 295 - 303
[6] SOME PROBABILISTIC METHODS IN THE THEORY OF APPROXIMATION OPERATORS
KHAN, RA
[J]. ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1980, 35 (1-2): : 193 - 203
[7] SHIRYAEV AN, 1984, PROBABILITY
[8] [No title captured]

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