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Projection-type approximation functionals for minimal splines. / Куликов, Егор Константинович; Макаров, Антон Александрович.

In: Journal of Mathematical Sciences, 19.05.2026.

Research output: Contribution to journal › Article › peer-review

Harvard

Куликов, ЕК & Макаров, АА 2026, 'Projection-type approximation functionals for minimal splines', Journal of Mathematical Sciences. https://doi.org/10.1007/s10958-026-08486-0

APA

Куликов, Е. К., & Макаров, А. А. (2026). Projection-type approximation functionals for minimal splines. Journal of Mathematical Sciences. https://doi.org/10.1007/s10958-026-08486-0

Vancouver

Куликов ЕК, Макаров АА. Projection-type approximation functionals for minimal splines. Journal of Mathematical Sciences. 2026 May 19. https://doi.org/10.1007/s10958-026-08486-0

Author

Куликов, Егор Константинович ; Макаров, Антон Александрович. / Projection-type approximation functionals for minimal splines. In: Journal of Mathematical Sciences. 2026.

BibTeX

@article{031a9b49e68549d5a23c70d8030f3834,
title = "Projection-type approximation functionals for minimal splines",
abstract = "In this paper, formulas for projection-type approximation functionals for quadratic minimal splines are obtained. The values of these functionals are used as coefficients in local approximation schemes. Examples of special cases of the resulting approximation structures, known to be quasi-interpolatory, are considered. Results of numerical experiments on approximating transcendental curves using the proposed local scheme are presented, and a numerical method for solving integral equations using projection-type functionals is developed. Bibliography: 21 titles.",
author = "Куликов, {Егор Константинович} and Макаров, {Антон Александрович}",
year = "2026",
month = may,
day = "19",
doi = "10.1007/s10958-026-08486-0",
language = "English",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",

}

RIS

TY - JOUR

T1 - Projection-type approximation functionals for minimal splines

AU - Куликов, Егор Константинович

AU - Макаров, Антон Александрович

PY - 2026/5/19

Y1 - 2026/5/19

N2 - In this paper, formulas for projection-type approximation functionals for quadratic minimal splines are obtained. The values of these functionals are used as coefficients in local approximation schemes. Examples of special cases of the resulting approximation structures, known to be quasi-interpolatory, are considered. Results of numerical experiments on approximating transcendental curves using the proposed local scheme are presented, and a numerical method for solving integral equations using projection-type functionals is developed. Bibliography: 21 titles.

AB - In this paper, formulas for projection-type approximation functionals for quadratic minimal splines are obtained. The values of these functionals are used as coefficients in local approximation schemes. Examples of special cases of the resulting approximation structures, known to be quasi-interpolatory, are considered. Results of numerical experiments on approximating transcendental curves using the proposed local scheme are presented, and a numerical method for solving integral equations using projection-type functionals is developed. Bibliography: 21 titles.

UR - https://www.mendeley.com/catalogue/2342fc44-e733-38bd-95a5-f6c6924e7090/

U2 - 10.1007/s10958-026-08486-0

DO - 10.1007/s10958-026-08486-0

M3 - Article

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

ER -

ID: 154786863