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math.CA2018
The method of summation of divergent trigonometric series
Volodymyr Denysiuk
The generalized summation of divergent trigonometric series, namely by method of -factors is considered in this paper. It is proved that such summation of Fourier series…
math.NA2018
Method of improvement of convergence Fourier series and interpoliation polynomials in orthogonal functions
Volodymyr Denysiuk
There is proposed a method for improving the convergence of Fourier series by function systems, orthogonal at the segment, the application of which allows for smooth functions to r…