English

On "Upper error bounds for quadrature formulas on function classes" by K. K. Frolov

Numerical Analysis 2017-06-22 v1

Abstract

This is a tutorial paper that gives the complete proof of a result of Frolov [2] that shows the optimal order of convergence for numerical integration of functions with bounded mixed derivatives. The presentation follows Temlyakov [8], see also [7].

Keywords

Cite

@article{arxiv.1404.5457,
  title  = {On "Upper error bounds for quadrature formulas on function classes" by K. K. Frolov},
  author = {Mario Ullrich},
  journal= {arXiv preprint arXiv:1404.5457},
  year   = {2017}
}

Comments

11 pages

R2 v1 2026-06-22T03:55:36.168Z