The L1 norm of the generalized de la Vallee Poussin kernel

Abstract

Charles de la Vall'ee Poussin defined two different kernels that bear his name. This paper considers the one are a linear combinations of two Fej'er kernels, which are known as the delayed means. We show that the $L^1$ norms are constant in families of delayed means, and determine the exact value

arXiv comment12 pages, 4 figures