Readjustment of the Paper [J Kaur and S S Bhatia, Integrability and L1-Convergence of Double Cosine Trigonometric Series, Anal Theory Appl, 27(1) (2011), pp 32--39]
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@Article{ATA-31-299,
author = {Xh. Z. Krasniqi},
title = {Readjustment of the Paper [J Kaur and S S Bhatia, Integrability and L1-Convergence of Double Cosine Trigonometric Series, Anal Theory Appl, 27(1) (2011), pp 32--39]},
journal = {Analysis in Theory and Applications},
year = {2017},
volume = {31},
number = {3},
pages = {299--306},
abstract = {In this paper, we show that new modified double cosine trigonometric sums introduced in [1] are inappropriate, the class of double sequences Jd introduced there is unusable for such sums and consequently the results obtained in it are completely incorrect. We here introduce appropriate modified double cosine trigonometric sums making the class Jd usable considering a particular double cosine trigonometric series.},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.2015.v31.n3.7},
url = {http://global-sci.org/intro/article_detail/ata/4641.html}
}
TY - JOUR
T1 - Readjustment of the Paper [J Kaur and S S Bhatia, Integrability and L1-Convergence of Double Cosine Trigonometric Series, Anal Theory Appl, 27(1) (2011), pp 32--39]
AU - Xh. Z. Krasniqi
JO - Analysis in Theory and Applications
VL - 3
SP - 299
EP - 306
PY - 2017
DA - 2017/07
SN - 31
DO - http://doi.org/10.4208/ata.2015.v31.n3.7
UR - https://global-sci.org/intro/article_detail/ata/4641.html
KW - L^1-convergence
KW - double null sequence
KW - cosine trigonometric series
KW - modified sums
AB - In this paper, we show that new modified double cosine trigonometric sums introduced in [1] are inappropriate, the class of double sequences Jd introduced there is unusable for such sums and consequently the results obtained in it are completely incorrect. We here introduce appropriate modified double cosine trigonometric sums making the class Jd usable considering a particular double cosine trigonometric series.
Xh. Z. Krasniqi. (1970). Readjustment of the Paper [J Kaur and S S Bhatia, Integrability and L1-Convergence of Double Cosine Trigonometric Series, Anal Theory Appl, 27(1) (2011), pp 32--39].
Analysis in Theory and Applications. 31 (3).
299-306.
doi:10.4208/ata.2015.v31.n3.7
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