Title Alternative
条件S(|an|2+e+|bn|2+e)<∞を満足する級数S(an cos nx+bn sin nx)がすべての点でBorel総和可能でない例とその関連結果
Authors
Goto, Kazuo Department of Mathematics, Faculty of Education, Tottori University Researchers DB KAKEN
Keywords
Uniform Distribution, Discrepancy, Borel summability, Trigonometric sum.
Abstract
In this paper, we give a lower and an upper estimation of the discrepancy of the sequence (αn+Βnlogn)∞n=1. Also from this sequence, we show an example such that the series S(an cos nx+bn sin nx) with S(|an|2+e + |bn|2+e)<∞ for every ε>0 can not be everywhere Borel summable.
Publisher
鳥取大学教育学部
Content Type
Departmental Bulletin Paper
ISSN
03715965
NCID
AN00174585
Journal Title
鳥取大学教育学部研究報告. 自然科学
Current Journal Title
The Journal of the Faculty of Education, Tottori University. Natural science
Volume
46
Issue
2
Start Page
45
End Page
50
Published Date
1997-12-25
Text Version
None
Rights
注があるものを除き、この著作物は日本国著作権法により保護されています。 / This work is protected under Japanese Copyright Law unless otherwise noted.
Citation
鳥取大学教育学部研究報告. 自然科学. 1997. 46(2), 45-50.
Department
Faculty of Regional Sciences/Graduate School of Regional Sciences
Language
English