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The Uniqueness of a Space of Smooth Splines and Calibration Relations. / Dem'yanovich, Y.K.

In: Journal of Mathematical Sciences, No. 2, 2013, p. 249-260.

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

Harvard

Dem'yanovich, YK 2013, 'The Uniqueness of a Space of Smooth Splines and Calibration Relations', Journal of Mathematical Sciences, no. 2, pp. 249-260. https://doi.org/10.1007/s10958-013-1450-2

APA

Dem'yanovich, Y. K. (2013). The Uniqueness of a Space of Smooth Splines and Calibration Relations. Journal of Mathematical Sciences, (2), 249-260. https://doi.org/10.1007/s10958-013-1450-2

Vancouver

Dem'yanovich YK. The Uniqueness of a Space of Smooth Splines and Calibration Relations. Journal of Mathematical Sciences. 2013;(2):249-260. https://doi.org/10.1007/s10958-013-1450-2

Author

Dem'yanovich, Y.K. / The Uniqueness of a Space of Smooth Splines and Calibration Relations. In: Journal of Mathematical Sciences. 2013 ; No. 2. pp. 249-260.

BibTeX

@article{41c5f7d6993b422aba928a06e23c4543,
title = "The Uniqueness of a Space of Smooth Splines and Calibration Relations",
abstract = "We obtain necessary and sufficient conditions for the existence and smoothness of a spline space Sm(X,A,φ) and show that for a fixed grid there is only one such a space of class C m-1. We prove the embedding of such spaces constructed on embedded grids and derive calibration relations for the coordinate functions. Bibliography: 13 titles. {\textcopyright} 2013 Springer Science+Business Media New York.",
author = "Y.K. Dem'yanovich",
year = "2013",
doi = "10.1007/s10958-013-1450-2",
language = "English",
pages = "249--260",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "2",

}

RIS

TY - JOUR

T1 - The Uniqueness of a Space of Smooth Splines and Calibration Relations

AU - Dem'yanovich, Y.K.

PY - 2013

Y1 - 2013

N2 - We obtain necessary and sufficient conditions for the existence and smoothness of a spline space Sm(X,A,φ) and show that for a fixed grid there is only one such a space of class C m-1. We prove the embedding of such spaces constructed on embedded grids and derive calibration relations for the coordinate functions. Bibliography: 13 titles. © 2013 Springer Science+Business Media New York.

AB - We obtain necessary and sufficient conditions for the existence and smoothness of a spline space Sm(X,A,φ) and show that for a fixed grid there is only one such a space of class C m-1. We prove the embedding of such spaces constructed on embedded grids and derive calibration relations for the coordinate functions. Bibliography: 13 titles. © 2013 Springer Science+Business Media New York.

U2 - 10.1007/s10958-013-1450-2

DO - 10.1007/s10958-013-1450-2

M3 - Article

SP - 249

EP - 260

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 2

ER -

ID: 7520248