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Construction of Approximation Functionals for Minimal Splines. / Kulikov, E. K.; Makarov, A. A.

в: Journal of Mathematical Sciences (United States), Том 262, № 1, 01.03.2022, стр. 84-98.

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

Harvard

Kulikov, EK & Makarov, AA 2022, 'Construction of Approximation Functionals for Minimal Splines', Journal of Mathematical Sciences (United States), Том. 262, № 1, стр. 84-98. https://doi.org/10.1007/s10958-022-05801-3

APA

Kulikov, E. K., & Makarov, A. A. (2022). Construction of Approximation Functionals for Minimal Splines. Journal of Mathematical Sciences (United States), 262(1), 84-98. https://doi.org/10.1007/s10958-022-05801-3

Vancouver

Kulikov EK, Makarov AA. Construction of Approximation Functionals for Minimal Splines. Journal of Mathematical Sciences (United States). 2022 Март 1;262(1):84-98. https://doi.org/10.1007/s10958-022-05801-3

Author

Kulikov, E. K. ; Makarov, A. A. / Construction of Approximation Functionals for Minimal Splines. в: Journal of Mathematical Sciences (United States). 2022 ; Том 262, № 1. стр. 84-98.

BibTeX

@article{a4ab2b6640a847159557cd410c8e175c,
title = "Construction of Approximation Functionals for Minimal Splines",
abstract = "This paper presents formulas for constructing quadratic minimal splines, which explicitly depend on the components of a generating vector function. Formulas for various approximation functionals for minimal splines used as coefficients in local approximation methods are obtained. Examples of special cases of approximation schemes, known as quasi-interpolation, are provided. Results of numerical experiments on approximating a circular arc by minimal splines are considered.",
author = "Kulikov, {E. K.} and Makarov, {A. A.}",
note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",
year = "2022",
month = mar,
day = "1",
doi = "10.1007/s10958-022-05801-3",
language = "English",
volume = "262",
pages = "84--98",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Construction of Approximation Functionals for Minimal Splines

AU - Kulikov, E. K.

AU - Makarov, A. A.

N1 - Publisher Copyright: © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

PY - 2022/3/1

Y1 - 2022/3/1

N2 - This paper presents formulas for constructing quadratic minimal splines, which explicitly depend on the components of a generating vector function. Formulas for various approximation functionals for minimal splines used as coefficients in local approximation methods are obtained. Examples of special cases of approximation schemes, known as quasi-interpolation, are provided. Results of numerical experiments on approximating a circular arc by minimal splines are considered.

AB - This paper presents formulas for constructing quadratic minimal splines, which explicitly depend on the components of a generating vector function. Formulas for various approximation functionals for minimal splines used as coefficients in local approximation methods are obtained. Examples of special cases of approximation schemes, known as quasi-interpolation, are provided. Results of numerical experiments on approximating a circular arc by minimal splines are considered.

UR - http://www.scopus.com/inward/record.url?scp=85128816875&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/932c9bc3-08a0-3d0a-a013-6671523b5bb4/

U2 - 10.1007/s10958-022-05801-3

DO - 10.1007/s10958-022-05801-3

M3 - Article

AN - SCOPUS:85128816875

VL - 262

SP - 84

EP - 98

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 95547512