Details

Autor(en) / Beteiligte

• Zhang, Chunping
• Sheng, Baohuai
• Chen, Zhixiang

Titel

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

Ist Teil von

• Analysis in theory & applications, 2008-03, Vol.24 (1), p.74-86

Ort / Verlag

Heidelberg: Editorial Board of Analysis in Theory and Applications

Erscheinungsjahr

2008

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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.