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.

摘要

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.