A. G. Babenko, Yu. V. Kryakin, V. A. Yudin, “One-sided approximation in <nobr>$L$</nobr> of the characteristic function of an interval by trigonometric polynomials”, Trudy Inst. Mat. i Mekh. UrO RAN, 2012, Volume 18, Number 1,Pages <nobr>82

This article is cited in 7 papers

One-sided approximation in $L$ of the characteristic function of an interval by trigonometric polynomials

A. G. Babenko^ab, Yu. V. Kryakin^c, V. A. Yudin^d

^a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
^b Ural Federal University
^c Mathematical Institute, University of Wroclaw
^d Moscow Power Engineering Institute (Technical University)

Abstract: For arbitrary $0<h\le\pi$, 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.

UDC: 517.5

Received: 26.08.2011