INVESTIGATION AND DEVELOPMENT OF AN EFFECTIVE AL-GORITHM FOR APPROXIMATION BY SPECIAL TRIGONOMETRIC POLYNOMIALS
Journal Title: Молодий вчений - Year 2017, Vol 10, Issue 50
Abstract
The problem of approximation of non-periodic functions by special trigonometric polynomials is considered. On the basis of the investigated method, a modified method has been developed that allows for a faster and monotonic decrease in the approximation error. Pre-processing is used to smooth out the periodic continuation of the approximated function. The root-mean-square errors of the approximation of a non-periodic function for different initial data are given. The results are presented in the form of tables.
Authors and Affiliations
V. A. Gryshyna, A. S. Darvinska
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