Geodesic
One-sided approximation in $L$ of the characteristic function of an interval by trigonometric polynomials
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 1, pp. 82-95 Cet article a éte moissonné depuis la source Math-Net.Ru

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For arbitrary $0$, the value of the best one-sided integral approximation of the characteristic function of the interval $(-h,h)$ by trigonometric polynomials of a given degree is found.
Keywords: one-sided integral approximation of functions by polynomials. 
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A. G. Babenko; Yu. V. Kryakin; V. A. Yudin. One-sided approximation in $L$ of the characteristic function of an interval by trigonometric polynomials. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 18 (2012) no. 1, pp. 82-95. http://geodesic.mathdoc.fr/item/TIMM_2012_18_1_a6/

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