1 citations · 1 across the 6 of their papers we have counts for
7 papers
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…
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.…
Approximation, regularization and smoothing of trigonometric splines
V. Denysiuk
The methods of approximation, regularization and smoothing of trigonometric interpolation splines are considered in the paper. It is shown that trigonometric splines can be conside…
About some properties of simple trigonometric splines
V. P. Denysiuk
The class the trigonometric interpolation splines depending on the parameter vectors, selected convergence factors and interpolation factors is considered. The main prope…
Fundamental trigonometric interpolation and approximating polynomials and splines
V. P. Denysiuk
The paper deals with two fundamental types of trigonometric polynomials and splines on uniform grids, which allow us to construct interpolation approximations that depend linearly…