%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