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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The extension of the theorems of Č. V. Stanojević and V. B. Stanojević


Author: Shu Yun Sheng
Journal: Proc. Amer. Math. Soc. 110 (1990), 895-904
MSC: Primary 42A20; Secondary 42A32
MathSciNet review: 1031672
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Abstract: The new necessary-sufficient conditions for $ {L^1}$ convergence of Fourier series are obtained; Č. V. Stanojevic and V. B. Stanojevic's theorem [5] and Singh and Sharma's theorem [2] are modified; the convergence theorem for a function sequence in $ {L^1}$ space is obtained; and the extensions are made for the Sheng and Yang theorem [6] and Singh and Sharma's results.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1031672-2
PII: S 0002-9939(1990)1031672-2
Article copyright: © Copyright 1990 American Mathematical Society