English

On approximation methods generated by generalized Bochner-Riesz kernels

Classical Analysis and ODEs 2011-03-08 v1 Functional Analysis

Abstract

Some sharp results related to the convergence of means and families of operators generated by the generalized Bochner-Riesz kernels are obtained. The exact order of approximation of functions by these methods via KK-functional (or its realization in the case of the space LpL_p, 0<p<10<p<1) is derived.

Keywords

Cite

@article{arxiv.1103.1075,
  title  = {On approximation methods generated by generalized Bochner-Riesz kernels},
  author = {Yurii Kolomoitsev},
  journal= {arXiv preprint arXiv:1103.1075},
  year   = {2011}
}
R2 v1 2026-06-21T17:35:36.191Z