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Quasilinear interpolation by minimal splines. / Макаров, Антон Александрович; Лившиц, Лев Павлович; Макарова, Светлана Владимировна.

в: Journal of Mathematical Sciences, Том 281, № 2, 16.04.2024, стр. 285-296.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Макаров, АА, Лившиц, ЛП & Макарова, СВ 2024, 'Quasilinear interpolation by minimal splines', Journal of Mathematical Sciences, Том. 281, № 2, стр. 285-296. https://doi.org/10.1007/s10958-024-07101-4

APA

Макаров, А. А., Лившиц, Л. П., & Макарова, С. В. (2024). Quasilinear interpolation by minimal splines. Journal of Mathematical Sciences, 281(2), 285-296. https://doi.org/10.1007/s10958-024-07101-4

Vancouver

Макаров АА, Лившиц ЛП, Макарова СВ. Quasilinear interpolation by minimal splines. Journal of Mathematical Sciences. 2024 Апр. 16;281(2):285-296. https://doi.org/10.1007/s10958-024-07101-4

Author

Макаров, Антон Александрович ; Лившиц, Лев Павлович ; Макарова, Светлана Владимировна. / Quasilinear interpolation by minimal splines. в: Journal of Mathematical Sciences. 2024 ; Том 281, № 2. стр. 285-296.

BibTeX

@article{6d5105ac38ad48ff87bf8f8811e66252,
title = "Quasilinear interpolation by minimal splines",
abstract = "The paper studies quasilinear interpolation by minimal splines constructed on nonuniform grids with multiple nodes. Asymptotic representations for normalized splines are obtained. The sharpness of biorthogonal approximation and the order of accuracy of quasilinear interpolation with respect to the grid stepsize are established. Results of numerical experiments on approximating some test functions, which demonstrate the effect of choosing a generating vector function in constructing the corresponding minimal spline, are presented.",
author = "Макаров, {Антон Александрович} and Лившиц, {Лев Павлович} and Макарова, {Светлана Владимировна}",
year = "2024",
month = apr,
day = "16",
doi = "10.1007/s10958-024-07101-4",
language = "English",
volume = "281",
pages = "285--296",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Quasilinear interpolation by minimal splines

AU - Макаров, Антон Александрович

AU - Лившиц, Лев Павлович

AU - Макарова, Светлана Владимировна

PY - 2024/4/16

Y1 - 2024/4/16

N2 - The paper studies quasilinear interpolation by minimal splines constructed on nonuniform grids with multiple nodes. Asymptotic representations for normalized splines are obtained. The sharpness of biorthogonal approximation and the order of accuracy of quasilinear interpolation with respect to the grid stepsize are established. Results of numerical experiments on approximating some test functions, which demonstrate the effect of choosing a generating vector function in constructing the corresponding minimal spline, are presented.

AB - The paper studies quasilinear interpolation by minimal splines constructed on nonuniform grids with multiple nodes. Asymptotic representations for normalized splines are obtained. The sharpness of biorthogonal approximation and the order of accuracy of quasilinear interpolation with respect to the grid stepsize are established. Results of numerical experiments on approximating some test functions, which demonstrate the effect of choosing a generating vector function in constructing the corresponding minimal spline, are presented.

UR - https://www.mendeley.com/catalogue/8205dcf0-02e3-32fe-9e92-612170185c8d/

U2 - 10.1007/s10958-024-07101-4

DO - 10.1007/s10958-024-07101-4

M3 - Article

VL - 281

SP - 285

EP - 296

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 126604638