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Volume 3, Issue 1, Article 10 |
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Some Results on $L^1$ Approximation of the $r$-th Derivate of Fourier Series
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Authors: |
Zivorad Tomovski, |
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Keywords:
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$L^1$-approximation, Fourier series, Sidon-Telyakovskii class, Telyakovskii inequality. |
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Date Received:
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22/09/99 |
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Date Accepted:
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18/10/01 |
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Subject Codes: |
26D15,42A20
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Editors: |
Alexander G. Babenko, |
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Abstract: |
In this paper we obtain the conditions for  -convergence of the  -th derivatives of the cosine and sine trigonometric series. These results are extensions of corresponding Sidon's and Telyakovskii's theorems for trigonometric series (case:  ).
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