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Quadratic Minimal Splines with Multiple Nodes. / Kulikov, E. K.; Makarov, A. A.

In: Journal of Mathematical Sciences (United States), Vol. 249, No. 2, 01.08.2020, p. 256-262.

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

Harvard

Kulikov, EK & Makarov, AA 2020, 'Quadratic Minimal Splines with Multiple Nodes', Journal of Mathematical Sciences (United States), vol. 249, no. 2, pp. 256-262. https://doi.org/10.1007/s10958-020-04939-2

APA

Kulikov, E. K., & Makarov, A. A. (2020). Quadratic Minimal Splines with Multiple Nodes. Journal of Mathematical Sciences (United States), 249(2), 256-262. https://doi.org/10.1007/s10958-020-04939-2

Vancouver

Kulikov EK, Makarov AA. Quadratic Minimal Splines with Multiple Nodes. Journal of Mathematical Sciences (United States). 2020 Aug 1;249(2):256-262. https://doi.org/10.1007/s10958-020-04939-2

Author

Kulikov, E. K. ; Makarov, A. A. / Quadratic Minimal Splines with Multiple Nodes. In: Journal of Mathematical Sciences (United States). 2020 ; Vol. 249, No. 2. pp. 256-262.

BibTeX

@article{3d5bd4eaedb94abebff78afd14da91d3,
title = "Quadratic Minimal Splines with Multiple Nodes",
abstract = "The paper studies quadratic minimal splines on nonuniform grids with multiple nodes on a closed interval. Asymptotic expansions for normalized splines are obtained. In dependence of the multiplicities of grid nodes, it is established to which class of continuity the spline functions under consideration belong. The results obtained are illustrated with examples of hyperbolic and trigonometric minimal splines. Bibliography: 10 titles.",
author = "Kulikov, {E. K.} and Makarov, {A. A.}",
year = "2020",
month = aug,
day = "1",
doi = "10.1007/s10958-020-04939-2",
language = "English",
volume = "249",
pages = "256--262",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - Quadratic Minimal Splines with Multiple Nodes

AU - Kulikov, E. K.

AU - Makarov, A. A.

PY - 2020/8/1

Y1 - 2020/8/1

N2 - The paper studies quadratic minimal splines on nonuniform grids with multiple nodes on a closed interval. Asymptotic expansions for normalized splines are obtained. In dependence of the multiplicities of grid nodes, it is established to which class of continuity the spline functions under consideration belong. The results obtained are illustrated with examples of hyperbolic and trigonometric minimal splines. Bibliography: 10 titles.

AB - The paper studies quadratic minimal splines on nonuniform grids with multiple nodes on a closed interval. Asymptotic expansions for normalized splines are obtained. In dependence of the multiplicities of grid nodes, it is established to which class of continuity the spline functions under consideration belong. The results obtained are illustrated with examples of hyperbolic and trigonometric minimal splines. Bibliography: 10 titles.

UR - http://www.scopus.com/inward/record.url?scp=85088269273&partnerID=8YFLogxK

U2 - 10.1007/s10958-020-04939-2

DO - 10.1007/s10958-020-04939-2

M3 - Article

AN - SCOPUS:85088269273

VL - 249

SP - 256

EP - 262

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 61738774