Sharp quadrature formulas and inequalities between various metrics for rational functions
- 作者: Danchenko V.1, Semin L.1
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隶属关系:
- Vladimir State University
- 期: 卷 57, 编号 2 (2016)
- 页面: 218-229
- 栏目: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170356
- DOI: https://doi.org/10.1134/S0037446616020051
- ID: 170356
如何引用文章
详细
We obtain the sharp quadrature formulas for integrals of complex rational functions over circles, segments of the real axis, and the real axis itself. Among them there are formulas for calculating the L2-norms of rational functions. Using the quadrature formulas for rational functions, in particular, for simple partial fractions and polynomials, we derive some sharp inequalities between various metrics (Nikol’skiĭ-type inequalities).
作者简介
V. Danchenko
Vladimir State University
编辑信件的主要联系方式.
Email: vdanch2012@yandex.ru
俄罗斯联邦, Vladimir
L. Semin
Vladimir State University
Email: vdanch2012@yandex.ru
俄罗斯联邦, Vladimir
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