Readjustment of the Paper [J Kaur and S S Bhatia, Integrability and <em>L<sup>1</sup></em>-Convergence of Double Cosine Trigonometric Series, Anal Theory Appl, 27(1) (2011), pp 32--39]

Volume 31, Issue 3

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]

Xh. Z. Krasniqi

DOI: 10.4208/ata.2015.v31.n3.7

Anal. Theory Appl., 31 (2015), pp. 299-306

Published online: 2017-07

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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.

Keywords

L^1-convergence double null sequence cosine trigonometric series modified sums

AMS Subject Headings

42A20 42B05

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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 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.}, 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 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.

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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