|
Lobachevskii Journal of Mathematics, 2003, Volume 13, Pages 39–44
(Mi ljm96)
|
|
|
|
Tauberian conditions for $L^1$-convergence of modified complex trigonometric sums
K. Kaur Govt. Polytechnic Institute
Abstract:
An $L^1$-convergence property of the complex form $g_n(c,t)=S_n(c,t)-[c_nE_n(t)+c_{-n}E_{-n}(t)]$ of the modified sums introduced by Garrett and Stanojević [3] is established and a necessary and sufficient condition for $L^1$-convergence of Fourier series is obtained.
Citation:
K. Kaur, “Tauberian conditions for $L^1$-convergence of modified complex trigonometric sums”, Lobachevskii J. Math., 13 (2003), 39–44
Linking options:
https://www.mathnet.ru/eng/ljm96 https://www.mathnet.ru/eng/ljm/v13/p39
|
Statistics & downloads: |
Abstract page: | 166 | Full-text PDF : | 78 | References: | 25 |
|