One-sided integral approximation of the characteristic function of an interval by algebraic polynomials


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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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