One-sided integral approximation of the characteristic function of an interval by algebraic polynomials
- Authors: Torgashova A.Y.1
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Affiliations:
- Ural Federal University
- Issue: Vol 296, No Suppl 1 (2017)
- Pages: 228-235
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/174449
- DOI: https://doi.org/10.1134/S0081543817020213
- ID: 174449
Cite item
Abstract
We give a solution to the problem of one-sided approximation in L(−1, 1) to the characteristic function of the interval (−√3/5, 2/5) by fifth-degree algebraic polynomials. The corresponding quadrature formula with positive weights is constructed.
About the authors
A. Yu. Torgashova
Ural Federal University
Author for correspondence.
Email: anastasiya.torgashova@mail.ru
Russian Federation, Yekaterinburg, 620000
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