@article{(Open Science Index):https://publications.waset.org/pdf/10004897, title = {L1-Convergence of Modified Trigonometric Sums}, author = {Sandeep Kaur Chouhan and Jatinderdeep Kaur and S. S. Bhatia}, country = {}, institution = {}, abstract = {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.}, journal = {International Journal of Mathematical and Computational Sciences}, volume = {10}, number = {6}, year = {2016}, pages = {330 - 333}, ee = {https://publications.waset.org/pdf/10004897}, url = {https://publications.waset.org/vol/114}, bibsource = {https://publications.waset.org/}, issn = {eISSN: 1307-6892}, publisher = {World Academy of Science, Engineering and Technology}, index = {Open Science Index 114, 2016}, }