APPLICATIONS OF THE BERNSTEIN-DURRMEYER OPERATORS IN ESTIMATING THE NORM OF MERCER KERNEL MATRICES

APPLICATIONS OF THE BERNSTEIN-DURRMEYER OPERATORS IN ESTIMATING THE NORM OF MERCER KERNEL MATRICES

The paper is related to the norm estimate of Mercer kernel matrices. The lower and upper bound estimates of Rayleigh entropy numbers for some Mercer kernel matrices on [0, 1] × [0, 1] based on the Bernstein-Durrmeyer operator kernel are obtained, with which and the approximation property of the Bern...

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Veröffentlicht in:Analysis in theory & applications 2008-03, Vol.24 (1), p.74-86
Hauptverfasser: Zhang, Chunping, Sheng, Baohuai, Chen, Zhixiang
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Approximations and Expansions
Mathematics
Mathematics and Statistics
估计方法
熵
矩阵
范数
计算方法
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Zusammenfassung:The paper is related to the norm estimate of Mercer kernel matrices. The lower and upper bound estimates of Rayleigh entropy numbers for some Mercer kernel matrices on [0, 1] × [0, 1] based on the Bernstein-Durrmeyer operator kernel are obtained, with which and the approximation property of the Bernstein-Durrmeyer operator the lower and upper bounds of the Rayleigh entropy number and the l2 -norm for general Mercer kernel matrices on [0, 1] x [0, 1] are provided.
ISSN:1672-4070
1573-8175
DOI:10.1007/s10496-008-0074-8