MEAN CONVERGENCE OF SOME POSITIVE OPERATORS

被引：0

作者：

SHI, YG ^{[1
]}

机构：

[1] CHINESE ACAD SCI, CTR COMP, BEIJING 100080, PEOPLES R CHINA

来源：

ACTA MATHEMATICA SCIENTIA | 1995年 / 15卷 / 02期

关键词：

POSITIVE OPERATORS; MEAN CONVERGENCE; ORTHOGONAL POLYNOMIALS;

D O I：

10.1016/S0252-9602(18)30033-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

L'convergence with 0<p<infinity of the positive operators F.(da,f) and G.(da,f), introduced by Nevai P. [3], and Qn,8(da,f), introduced by Hermann T. and Vertesi P. [1] to f is an element of C[-1,1] is proved to hold for very general measures.

引用

页码：136 / 143

页数：8

共 6 条

[1] ON AN INTERPOLATORY OPERATOR AND ITS SATURATION
HERMANN, T
VERTESI, P
[J]. ACTA MATHEMATICA ACADEMIAE SCIENTIARUM HUNGARICAE, 1981, 37 (1-3): : 1 - 9
[2] STRONG AND WEAK-CONVERGENCE OF ORTHOGONAL POLYNOMIALS
MATE, A
NEVAI, P
TOTIK, V
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1987, 109 (02) : 239 - 281
[3] NEVAI PG, 1979, MEM AM MATH SOC, V18, P1
[4] BOUNDS AND INEQUALITIES FOR GENERAL ORTHOGONAL POLYNOMIALS ON FINITE INTERVALS
SHI, YG
[J]. JOURNAL OF APPROXIMATION THEORY, 1993, 73 (03) : 303 - 333
[5] SHI YG, 1993, APPROX THEORY APPL, V9, P89
[6] VERTESI P, 1982, ACTA MATH ACAD SCI H, V40, P217

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