Standard

Polynomial and non-polynomial splines with the fourth order of approximation. / Burova, I. G.; Zhilin, D. E.

In: Applied Mathematics and Information Sciences, Vol. 14, No. 4, 01.07.2020, p. 533-545.

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

Harvard

Burova, IG & Zhilin, DE 2020, 'Polynomial and non-polynomial splines with the fourth order of approximation', Applied Mathematics and Information Sciences, vol. 14, no. 4, pp. 533-545. https://doi.org/10.18576/JSAP/140402

APA

Burova, I. G., & Zhilin, D. E. (2020). Polynomial and non-polynomial splines with the fourth order of approximation. Applied Mathematics and Information Sciences, 14(4), 533-545. https://doi.org/10.18576/JSAP/140402

Vancouver

Burova IG, Zhilin DE. Polynomial and non-polynomial splines with the fourth order of approximation. Applied Mathematics and Information Sciences. 2020 Jul 1;14(4):533-545. https://doi.org/10.18576/JSAP/140402

Author

Burova, I. G. ; Zhilin, D. E. / Polynomial and non-polynomial splines with the fourth order of approximation. In: Applied Mathematics and Information Sciences. 2020 ; Vol. 14, No. 4. pp. 533-545.

BibTeX

@article{52b5b815575440a28f8f82e6dc81127c,
title = "Polynomial and non-polynomial splines with the fourth order of approximation",
abstract = "This paper addresses the construction of polynomial and non-polynomial splines of the fourth order of approximation. Smooth non-polynomial splines of the minimal defect are constructed using preliminarily constructed Hermite-type splines. The estimates of the approximations are given and the constants they include are calculated.",
keywords = "Hermite interpolation, Non-polynomial local basis splines, Poly6nomial local basis splines, Splines of the minimal defect",
author = "Burova, {I. G.} and Zhilin, {D. E.}",
year = "2020",
month = jul,
day = "1",
doi = "10.18576/JSAP/140402",
language = "English",
volume = "14",
pages = "533--545",
journal = "Applied Mathematics and Information Sciences",
issn = "1935-0090",
publisher = "Natural Sciences Publishing Corporation",
number = "4",

}

RIS

TY - JOUR

T1 - Polynomial and non-polynomial splines with the fourth order of approximation

AU - Burova, I. G.

AU - Zhilin, D. E.

PY - 2020/7/1

Y1 - 2020/7/1

N2 - This paper addresses the construction of polynomial and non-polynomial splines of the fourth order of approximation. Smooth non-polynomial splines of the minimal defect are constructed using preliminarily constructed Hermite-type splines. The estimates of the approximations are given and the constants they include are calculated.

AB - This paper addresses the construction of polynomial and non-polynomial splines of the fourth order of approximation. Smooth non-polynomial splines of the minimal defect are constructed using preliminarily constructed Hermite-type splines. The estimates of the approximations are given and the constants they include are calculated.

KW - Hermite interpolation

KW - Non-polynomial local basis splines

KW - Poly6nomial local basis splines

KW - Splines of the minimal defect

UR - http://www.scopus.com/inward/record.url?scp=85089238110&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/bd6cd2d1-b9bb-3c8c-bfb3-5e9c1d9fe4fa/

U2 - 10.18576/JSAP/140402

DO - 10.18576/JSAP/140402

M3 - Article

AN - SCOPUS:85089238110

VL - 14

SP - 533

EP - 545

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

SN - 1935-0090

IS - 4

ER -

ID: 61269635