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L1-approximation of Fourier series of complex-valued functions

Published online by Cambridge University Press:  14 November 2011

T. F. Xie  and
S. P. Zhou
T. F. Xie
Affiliation:
Department of Malhematics, Hangzhou University, Hangzhou, Zhejiang 310028, People's Republic of China
S. P. Zhou
Affiliation:
Department of Mathematics, Statistics and Computing Science, Dalhousie University, Halifax, NS, Canada, B3 3J5
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Extract

V. B. Stanojevic suggested in her recent paper that it would be of interest to prove a corresponding L1-convergence theorem for Fourier series with complex O-regularly varying quasimonotonc coefficients. The present paper will discuss this question and establish L1-convergence and. furthermore. L1-approximation theorems for complex-valued integrable functions.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 126 , Issue 2 , 1996 , pp. 343 - 353
Copyright
Copyright © Royal Society of Edinburgh 1996

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References

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