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Volume 27, Issue 1
Integrability and $L^1$-Convergence of Double Cosine Trigonometric Series

J. Kaur & S. S. Bhatia

Anal. Theory Appl., 27 (2011), pp. 32-39.

Published online: 2011-01

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  • Abstract

We study here $L^1$-convergence of new modified double cosine trigonometric sum and obtain a new necessary and sufficient condition for $L^1$-convergence of double cosine trigonometric series. Also, the results obtained by Moricz[1],[2] are particular cases of ours.

  • AMS Subject Headings

42A20, 42A32

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{ATA-27-32, author = {J. Kaur and S. S. Bhatia}, title = {Integrability and $L^1$-Convergence of Double Cosine Trigonometric Series}, journal = {Analysis in Theory and Applications}, year = {2011}, volume = {27}, number = {1}, pages = {32--39}, abstract = {

We study here $L^1$-convergence of new modified double cosine trigonometric sum and obtain a new necessary and sufficient condition for $L^1$-convergence of double cosine trigonometric series. Also, the results obtained by Moricz[1],[2] are particular cases of ours.

}, issn = {1573-8175}, doi = {https://doi.org/10.1007/s10496-011-0032-8}, url = {http://global-sci.org/intro/article_detail/ata/4577.html} }
TY - JOUR T1 - Integrability and $L^1$-Convergence of Double Cosine Trigonometric Series AU - J. Kaur & S. S. Bhatia JO - Analysis in Theory and Applications VL - 1 SP - 32 EP - 39 PY - 2011 DA - 2011/01 SN - 27 DO - http://doi.org/10.1007/s10496-011-0032-8 UR - https://global-sci.org/intro/article_detail/ata/4577.html KW - $L^1$-convergence, conjugate Dirichlet kernel. AB -

We study here $L^1$-convergence of new modified double cosine trigonometric sum and obtain a new necessary and sufficient condition for $L^1$-convergence of double cosine trigonometric series. Also, the results obtained by Moricz[1],[2] are particular cases of ours.

J. Kaur and S. S. Bhatia. (2011). Integrability and $L^1$-Convergence of Double Cosine Trigonometric Series. Analysis in Theory and Applications. 27 (1). 32-39. doi:10.1007/s10496-011-0032-8
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