Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Denysiuk, V."'
Autor:
Denysiuk, V.
The work examines norms in of fundamental trigonometric splines of odd and even degrees, which in some cases coincide with polynomial ones. Fundamental trigonometric splines for the case where the con-vergence factors depend on the parameter are also
Externí odkaz:
http://arxiv.org/abs/2302.05985
Autor:
Denysiuk, V.
Under consideration methods of constructing trigonometric interpolation splines of two variables on rectangular areas. These methods are easily generalized to the case of trigonometric interpolation splines of several variables on such domains. A num
Externí odkaz:
http://arxiv.org/abs/2211.10531
Autor:
Denysiuk, V.
Methods of constructing trigonometric fundamental splines with constant sign and sign-changing convergence factors are given. An example and graphics illustrating the concepts of convergence and interpolation grids are given. Some methods of construc
Externí odkaz:
http://arxiv.org/abs/2210.06505
Autor:
Denysiuk, V.
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 of simple polynomial splines. For some parameter values, the polynomia
Externí odkaz:
http://arxiv.org/abs/2110.04781
Autor:
Denysiuk, V. P.
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. The proposed method is based on the periodicity properties of trigonom
Externí odkaz:
http://arxiv.org/abs/2110.04779
Autor:
Denysiuk, V.
The methods of approximation, regularization and smoothing of trigonometric interpolation splines are considered in the paper. It is shown that trigonometric splines can be considered from two points of view - as a trigonometric Fourier series and as
Externí odkaz:
http://arxiv.org/abs/2103.11415
Autor:
Denysiuk, V. P.
The class $Ts(r,f)$ the trigonometric interpolation splines depending on the parameter vectors, selected convergence factors and interpolation factors is considered. The main properties of simple interpolation trigonometric splines are given, which a
Externí odkaz:
http://arxiv.org/abs/2101.11962
Autor:
Denysiuk, V. P.
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 on the values of the interpolated function. Fundamental on the same gr
Externí odkaz:
http://arxiv.org/abs/1912.01918
Autor:
Denysiuk, V. P.
One of the possible variants of the classification of trigonometric interpolation splines is considered, depending on the chosen convergence factors, the distribution of signs of the basis functions and the interpolation factors. The concept of cross
Externí odkaz:
http://arxiv.org/abs/1910.00830
Autor:
Denysiuk, V. P.
Some questions of application of trigonometric splines in problems of spectral analysis are considered. The known effects of overlay in the frequency and time domains are discussed; deployment effects in these areas are firstly considered. The relati
Externí odkaz:
http://arxiv.org/abs/1910.00828