Sharp quadrature formulas and inequalities between various metrics for rational functions
- Autores: Danchenko V.1, Semin L.1
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Afiliações:
- Vladimir State University
- Edição: Volume 57, Nº 2 (2016)
- Páginas: 218-229
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/170356
- DOI: https://doi.org/10.1134/S0037446616020051
- ID: 170356
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Resumo
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).
Sobre autores
V. Danchenko
Vladimir State University
Autor responsável pela correspondência
Email: vdanch2012@yandex.ru
Rússia, Vladimir
L. Semin
Vladimir State University
Email: vdanch2012@yandex.ru
Rússia, Vladimir