Tauberian conditions for L1-convergence of modified complex trigonometric sums
(Lobachevskii Journal of Mathematics, Volume XIII)
An L1-convergence property of the complex form gn(c,t)=Sn(c,t)- [cnEn(t)+c-nE-n(t)] of the modified sums introduced by Garrett and Stanojevic [3] is established and a necessary and sufficient condition for L1-convergence of Fourier series is obtained.