NDLI: Convergence criteria for Fourier series

Content Provider	Scilit
Author	Rao, V. Venu Gopal
Copyright Year	1971
Description	The following convergence criterion of Fourier series is due to M. Izumi, S. Izumi and the author:THEOREM. Let Δ ≥ 1. If(i) , and(ii) as t → 0for an a, 0 < a < 1 and for a δ, 0 < δ < π, then the Fourier series of φ(t) is convergent at the origin.The object of this paper is to generalize the above theorem in the Hardy-Littlewood direction.
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/0793602F660D5A6805CAB15AC9BEE70E/S0004972700046542a.pdf/div-class-title-convergence-criteria-for-fourier-series-div.pdf
Ending Page	262
Page Count	4
Starting Page	259
ISSN	00049727
e-ISSN	17551633
DOI	10.1017/s0004972700046542
Journal	Bulletin of the Australian Mathematical Society
Issue Number	2
Volume Number	4
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	1971-04-01
Access Restriction	Open
Subject Keyword	Bulletin of the Australian Mathematical Society Applied Mathematics Fourier Series Convergence Criterion
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Convergence criteria for Fourier series