This article is cited in 3 papers

On efficient approximation of piecewise smooth functions with their presentation by rapidly converging piecewise polynomial series

V. V. Smelov

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

Abstract: A variant of expansion of piecewise smooth functions in rapidly converging series about specific piecewise polynomial functions is proposed. These specific functions are constructed on the basis of the Legendre polynomials. This paper is the sequel of the author's previous publications [1] and forms the basis of the efficient approximations of the above-mentioned functions.

Key words: piecewise smooth functions, rapidly converging series, piecewise polynomial basis, approximation.

UDC: 518.12+519.34

Received: 11.03.2003
Revised: 03.04.2003

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