Geodesic
One-sided integral approximation of the characteristic function of an interval by algebraic polynomials
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 3, pp. 265-272

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We give a solution to the problem of one-sided approximation in $L(-1,1)$ of the characteristic function of the interval $(-\sqrt{{3}/{5}},{2}/{5})$ by fifth-degree algebraic polynomials. The corresponding quadrature formula with positive weights is constructed.
Keywords: algebraic polynomials, one-sided approximation, characteristic function of an interval. 
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     title = {One-sided integral approximation of the characteristic function of an interval by algebraic polynomials},
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A. Yu. Torgashova. One-sided integral approximation of the characteristic function of an interval by algebraic polynomials. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 3, pp. 265-272. http://geodesic.mathdoc.fr/item/TIMM_2016_22_3_a27/