Readjustment of the Paper [J. Kaur and S. S. Bhatia, Integrability and $L^1$-Convergence of Double Cosine Trigonometric Series, Anal. Theory Appl., 27(1) (2011), pp. 32-39]
![Readjustment of the Paper [J. Kaur and S. S. Bhatia, Integrability and $L^1$-Convergence of Double Cosine Trigonometric Series, Anal. Theory Appl., 27(1) (2011), pp. 32-39]](https://global-sci.com/images/articles/73964.png?w=900&h=&fit=&c=2&assets_cache=20241002153404&bg=white)
Year: 2015
Analysis in Theory and Applications, Vol. 31 (2015), Iss. 3 : pp. 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 $J_d$ 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 $J_d$ usable considering a particular double cosine trigonometric series.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2015.v31.n3.7
Analysis in Theory and Applications, Vol. 31 (2015), Iss. 3 : pp. 299–306
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: $L^1$-convergence double null sequence cosine trigonometric series modified sums.