6. Papers

Application of Steklov's method of smoothing functions to numerical differentiation and construction of local quasi-interpolation splines

Yuriy S. Volkov
Scopus Author ID: 7103297762
1. Sobolev Institute of Mathematics SBRAS, Novosibirsk, Russia
volkov@math.nsc.ru
Tugal Zhanlav
Scopus Author ID: 24484328800
1. Institute of Mathematics and Digital Technology, Mongolian Academy of Sciences, Ulaanbaatar, Mongolia
tzhanlav@yahoo.com
Renchin-Ochir Mijiddorj
Scopus Author ID: 6507901070
1. Mongolian National University of Education, Ulaanbaatar, Mongolia
mijiddorj@msue.edu.mn
The material was received by the Editorial Board: 04.02.2025

We mainly aim to utilize the Steklov smoothing method to appro\-xi\-mate a function and its derivatives. Subsequently, we can readily construct integro splines in the case of a uniform grid. It has been demonstrated that the Steklov smoothing method is highly effective for achieving this purpose. Numerical examples are provided to illustrate the effectiveness of the proposed method.

УДК 519.65

Applications of the Steklov smoothing method to numerical differentiation and to construct local quasi-interpolating splines
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Keywords: smoothing Steklov function; integro spline; quasi-interpolating spline.


References: Tugal Zhanlav, Yuriy S. Volkov, Renchin-Ochir Mijiddorj Application of Steklov's method of smoothing functions to numerical differentiation and construction of local quasi-interpolation splines. Mat. Trudy. 2025, 28, № 2. P. 28–49. DOI: 10.25205/1560-750X-2025-28-2-28-49