TY - JOUR
T1 - 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]
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, double null sequence, cosine trigonometric series, modified sums.
AB - <p style="text-align: justify;">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.</p>