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Calibration relations for nonpolynomial splines. / Dem'yanovich, Yu K.; Makarov, A. A.

In: Journal of Mathematical Sciences, Vol. 142, No. 1, 04.2007, p. 1769-1787.

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

Harvard

Dem'yanovich, YK & Makarov, AA 2007, 'Calibration relations for nonpolynomial splines', Journal of Mathematical Sciences, vol. 142, no. 1, pp. 1769-1787. https://doi.org/10.1007/s10958-007-0087-4

APA

Dem'yanovich, Y. K., & Makarov, A. A. (2007). Calibration relations for nonpolynomial splines. Journal of Mathematical Sciences, 142(1), 1769-1787. https://doi.org/10.1007/s10958-007-0087-4

Vancouver

Dem'yanovich YK, Makarov AA. Calibration relations for nonpolynomial splines. Journal of Mathematical Sciences. 2007 Apr;142(1):1769-1787. https://doi.org/10.1007/s10958-007-0087-4

Author

Dem'yanovich, Yu K. ; Makarov, A. A. / Calibration relations for nonpolynomial splines. In: Journal of Mathematical Sciences. 2007 ; Vol. 142, No. 1. pp. 1769-1787.

BibTeX

@article{151e4350056c4fb6a5080fa2c89cb8c1,
title = "Calibration relations for nonpolynomial splines",
abstract = "Nonpolynomial (X, A, φ)-splines of the third order and the special case of Bφ-splines of class C2 are studied. For such splines calibration relations are obtained, owing to which the coordinate splines on the original grid is represented in terms of the coordinate splines on a refined grid. A nonlinear mapping (ℝ4)9 → ℝ4 and locally orthogonal chains of vectors are used for this purpose. Bibliography: 22 titles.",
author = "Dem'yanovich, {Yu K.} and Makarov, {A. A.}",
year = "2007",
month = apr,
doi = "10.1007/s10958-007-0087-4",
language = "English",
volume = "142",
pages = "1769--1787",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Calibration relations for nonpolynomial splines

AU - Dem'yanovich, Yu K.

AU - Makarov, A. A.

PY - 2007/4

Y1 - 2007/4

N2 - Nonpolynomial (X, A, φ)-splines of the third order and the special case of Bφ-splines of class C2 are studied. For such splines calibration relations are obtained, owing to which the coordinate splines on the original grid is represented in terms of the coordinate splines on a refined grid. A nonlinear mapping (ℝ4)9 → ℝ4 and locally orthogonal chains of vectors are used for this purpose. Bibliography: 22 titles.

AB - Nonpolynomial (X, A, φ)-splines of the third order and the special case of Bφ-splines of class C2 are studied. For such splines calibration relations are obtained, owing to which the coordinate splines on the original grid is represented in terms of the coordinate splines on a refined grid. A nonlinear mapping (ℝ4)9 → ℝ4 and locally orthogonal chains of vectors are used for this purpose. Bibliography: 22 titles.

UR - http://www.scopus.com/inward/record.url?scp=33846981179&partnerID=8YFLogxK

U2 - 10.1007/s10958-007-0087-4

DO - 10.1007/s10958-007-0087-4

M3 - Article

AN - SCOPUS:33846981179

VL - 142

SP - 1769

EP - 1787

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 1

ER -

ID: 13741942