A WEIGHTED FOURIER SERIES WITH SIGNED GOOD KERNELS

초록

It is natural to try to find a kernel such that its convolution of integrable functions converges faster than that of the Fejer kernel. In this paper, we introduce a weighted Fourier partial sums which are written as the convolution of signed good kernels and prove that the weighted Fourier partial sum converges in L-2 much faster than that of the Cesaro means. In addition, we present two numerical experiments.

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