Convergence of the Cesàro mean for rational orthonormal bases

This paper deals with the convergence of the Cesàro mean for the rational orthonormal bases. Provided the set of zeroes of rational orthonormal bases is formed by a periodic repetition of the same finite sequence, the explicit expression of so-called block-Fejér kernel is available, and some propert...

Full description

Saved in:
Bibliographic Details
Published inActa mathematica Sinica. English series Vol. 25; no. 4; pp. 581 - 592
Main Authors Fu, Ying Xiong, Li, Luo Qing
Format Journal Article
LanguageEnglish
Published Heidelberg Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 01.04.2009
Springer Nature B.V
Subjects
Mathematics
Mathematics and Statistics
Numbers
Signal processing
Studies
Trigonometry
30E10
trigonometric series
rational orthonormal basis
Cesàro mean
41A20
Online AccessGet full text

Cover

More Information
Summary:This paper deals with the convergence of the Cesàro mean for the rational orthonormal bases. Provided the set of zeroes of rational orthonormal bases is formed by a periodic repetition of the same finite sequence, the explicit expression of so-called block-Fejér kernel is available, and some properties of the block-Fejér kernel are discussed. Based on the convergence of the block-Cesàro mean, the convergence of Cesàro mean is also provided.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-009-7305-6