Integrability and $L^1$-Convergence of Double Cosine Trigonometric Series
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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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