MEAN CONVERGENCE OF SOME POSITIVE OPERATORS

数学物理学报(英文版) ›› 1995, Vol. 15 ›› Issue (2): 136-143.

MEAN CONVERGENCE OF SOME POSITIVE OPERATORS

史应光

Computing Center, Chinese Academy of Sciences, P. O. Box 2719, Beijing 100080, China

收稿日期:1992-12-13 修回日期:1993-07-09 出版日期:1995-06-25 发布日期:1995-06-25
基金资助:
Project supported by National Natural Science Forundation of China.

MEAN CONVERGENCE OF SOME POSITIVE OPERATORS

Shi Yingguang

Computing Center, Chinese Academy of Sciences, P. O. Box 2719, Beijing 100080, China

Received:1992-12-13 Revised:1993-07-09 Online:1995-06-25 Published:1995-06-25
Supported by:
Project supported by National Natural Science Forundation of China.

摘要/Abstract

摘要： L' convergence with 0 < p < ∞ of the positive operators F_n(da,f) and G_n(da,f), introduced by Nevai P.[3], and Q_n,8(da,f), introduced by Hermann T. and Vértesi P.[1] to f∈C[-1.1] is proved to hold for very general measures.

关键词: Positive operators, mean convergence, orthogonal polynomials

Abstract: L' convergence with 0 < p < ∞ of the positive operators F_n(da,f) and G_n(da,f), introduced by Nevai P.[3], and Q_n,8(da,f), introduced by Hermann T. and Vértesi P.[1] to f∈C[-1.1] is proved to hold for very general measures.

Key words: Positive operators, mean convergence, orthogonal polynomials

史应光. MEAN CONVERGENCE OF SOME POSITIVE OPERATORS[J]. 数学物理学报(英文版), 1995, 15(2): 136-143.

Shi Yingguang. MEAN CONVERGENCE OF SOME POSITIVE OPERATORS[J]. Acta mathematica scientia,Series B, 1995, 15(2): 136-143.

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MEAN CONVERGENCE OF SOME POSITIVE OPERATORS

MEAN CONVERGENCE OF SOME POSITIVE OPERATORS

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