English

The L1 norm of the generalized de la Vallee Poussin kernel

Classical Analysis and ODEs 2013-11-07 v1

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 L1L^1 norms are constant in families of delayed means, and determine the exact value

Cite

@article{arxiv.1311.1407,
  title  = {The L1 norm of the generalized de la Vallee Poussin kernel},
  author = {Harsh Mehta},
  journal= {arXiv preprint arXiv:1311.1407},
  year   = {2013}
}

Comments

12 pages, 4 figures