WASET
	%0 Journal Article
	%A Sandeep Kaur Chouhan and  Jatinderdeep Kaur and  S. S. Bhatia
	%D 2016
	%J International Journal of Mathematical and Computational Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 114, 2016
	%T L1-Convergence of Modified Trigonometric Sums
	%U https://publications.waset.org/pdf/10004897
	%V 114
	%X The existence of sine and cosine series as a Fourier
series, their L1-convergence seems to be one of the difficult question
in theory of convergence of trigonometric series in L1-metric norm.
In the literature so far available, various authors have studied the
L1-convergence of cosine and sine trigonometric series with special
coefficients. In this paper, we present a modified cosine and sine sums
and criterion for L1-convergence of these modified sums is obtained.
Also, a necessary and sufficient condition for the L1-convergence of
the cosine and sine series is deduced as corollaries.
	%P 330 - 333