Sharp quadrature formulas and Nikol'skii type inequalities for rational functions
Classical Analysis and ODEs
2015-03-24 v1
Abstract
Sharp quadrature formulas for integrals of complex rational functions on circles, real axis and its segments are obtained. We also find sharp quadrature formulas for calculation of -norms of rational functions on such sets. Basing on quadrature formulas for rational functions, in particular, for simple partial fractions and polynomials, we derive sharp inequalities for different metrics (Nikol'skii type inequalities).
Cite
@article{arxiv.1503.06476,
title = {Sharp quadrature formulas and Nikol'skii type inequalities for rational functions},
author = {V. I. Danchenko and L. A. Semin},
journal= {arXiv preprint arXiv:1503.06476},
year = {2015}
}
Comments
In Russian