Метод зрізки в задачах чисельного підсумовування і диференціювання

Abstract

The problems of numerical summation and differentiation of functions with finite smoothness are investigated. In order to ensure stabil- ity of approximations different variants of the truncation method are con- sidered. For the constructed methods, error estimates are found in integral and uniform metrics. Moreover the volume of the used Fourier coefficients is calculated.