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Finite Fourier series. The class of trigonometric splines
Volodymyr Denysiuk, Lydmila Rybachuk
Finite trigonometric Fourier series on a set of discrete equidistant points are considered. A finite system of orthogonal functions that have interpolation and certain differential…
Forms of representation of interpolation trigonometric splines
Volodymyr Denysiuk, Lyudmila Rybachuk
Three forms of representation of trigonometric interpolation splines are considered, in particular, the representation by the coefficients of the interpolation trigonometric polyno…
Generalization of Trigonometric B-splines and Kernels of Interpolating Trigonometric Splines with Riemann Convergence Multipliers
Volodymyr Denysiuk, Olena Hryshko
This paper explores the generalization of the method for extracting Riemann trigonometric B-splines and Riemann kernels of trigonometric interpolation splines of arbitrary order on…
B-splines and kernels of trigonometric interpolation splines
Volodymyr Denysiuk, Olena Hryshko
This article focuses on trigonometric Riemann B-splines and Riemann kernels of trigonometric interpolation splines of arbitrary order; it is shown that trigonometric interpolation…
Polynomial and trigonometric splines
V. Denysiuk
Classes of simple polynomial and simple trigonometric splines given by Fourier series are considered. It is shown that the class of simple trigonometric splines includes the class…
About one method of constructing Hermite trigonometric splines
V. P. Denysiuk
The method of constructing trigonometric Hermite splines, which interpolate the values of some periodic function and its derivatives in the nodes of a uniform grid, is considered.…