This article is cited in 13 papers

On representation of piecewise-smooth functions by rapidly convergent trigonometric series

V. V. Smelov

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: A specific variant of expansions of smooth and piecewise-smooth functions to rapidly convergent series with respect to trigonometric functions is suggested. This result is the basis for the effective approximations of the above-mentioned functions.

UDC: 518.12+519.34

Received: 30.03.1999
Revised: 27.05.1999

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