Abstract
Fourier series addition is the most powerful tool for solving various problems, since the Fourier series can be solved in an open way by differentiation, integration, moving with functions of the argument, and convolution. The general provisions of matrix summation of Fourier series are also considered and examples of Ʌ-methods are given. In this paper, we show the process of solving by summation of Fourier series for some functions completely, starting with writing out the corresponding summed function. Further, this system is solved by one of the simplest, but often used linear methods of matrix summation of Fourier series.
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