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ON THE RELATIONSHIP BETWEEN THE NUMBER OF POINTS OF INFLECTION OF THE GRAPH OF THE NUMBER OF MEMBERS FOURIER SERIES BY USING RAPID EXPANSIONS

2016; International Academy Of Theoretical & Applied Science; Volume: 33; Issue: 01 Linguagem: Inglês

10.15863/tas.2016.01.33.23

2409-0085

Alexander Danilovich Chernyshov, Vitalij Valer'evich Goryajnov,

Graph theory and applications

We studied the relative error of representation functions and their derivatives rapid expansions of sine and cosine expansion.Based on the analysis of data obtained by the condition of numerical experiments to determine the number of members of the rapid expansion required to represent smooth functions rapid expansion with relative error calculation is not more than 1%.