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New classes of minimum splines. / Dem'yanovich, Yu K.

In: Russian Journal of Numerical Analysis and Mathematical Modelling, Vol. 9, No. 4, 01.01.1994, p. 349-362.

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

Harvard

Dem'yanovich, YK 1994, 'New classes of minimum splines', Russian Journal of Numerical Analysis and Mathematical Modelling, vol. 9, no. 4, pp. 349-362. https://doi.org/10.1515/rnam.1994.9.4.349

APA

Dem'yanovich, Y. K. (1994). New classes of minimum splines. Russian Journal of Numerical Analysis and Mathematical Modelling, 9(4), 349-362. https://doi.org/10.1515/rnam.1994.9.4.349

Vancouver

Dem'yanovich YK. New classes of minimum splines. Russian Journal of Numerical Analysis and Mathematical Modelling. 1994 Jan 1;9(4):349-362. https://doi.org/10.1515/rnam.1994.9.4.349

Author

Dem'yanovich, Yu K. / New classes of minimum splines. In: Russian Journal of Numerical Analysis and Mathematical Modelling. 1994 ; Vol. 9, No. 4. pp. 349-362.

BibTeX

@article{953b1875847140f6ad1c5b97af16b058,
title = "New classes of minimum splines",
abstract = "Both B-splines and elementary minimum splines have the minimum multiplicity of covering by supports of basis splines at a given approximation order. But the former are not an interpolation basis, while the latter are. The former are positive and have the maximum smoothness, while the latter change signs and are continuous at best. In the present paper we introduce a class of A-minimum splines which involves both types of splines mentioned above. We also consider the notion of g-continuity, which generalizes the qualified smoothness, and cite the necessary and sufficient conditions for the introduced splines to be g-continuous. New families of minimum splines are proposed.",
author = "Dem'yanovich, {Yu K.}",
year = "1994",
month = jan,
day = "1",
doi = "10.1515/rnam.1994.9.4.349",
language = "English",
volume = "9",
pages = "349--362",
journal = "Russian Journal of Numerical Analysis and Mathematical Modelling",
issn = "0927-6467",
publisher = "De Gruyter",
number = "4",

}

RIS

TY - JOUR

T1 - New classes of minimum splines

AU - Dem'yanovich, Yu K.

PY - 1994/1/1

Y1 - 1994/1/1

N2 - Both B-splines and elementary minimum splines have the minimum multiplicity of covering by supports of basis splines at a given approximation order. But the former are not an interpolation basis, while the latter are. The former are positive and have the maximum smoothness, while the latter change signs and are continuous at best. In the present paper we introduce a class of A-minimum splines which involves both types of splines mentioned above. We also consider the notion of g-continuity, which generalizes the qualified smoothness, and cite the necessary and sufficient conditions for the introduced splines to be g-continuous. New families of minimum splines are proposed.

AB - Both B-splines and elementary minimum splines have the minimum multiplicity of covering by supports of basis splines at a given approximation order. But the former are not an interpolation basis, while the latter are. The former are positive and have the maximum smoothness, while the latter change signs and are continuous at best. In the present paper we introduce a class of A-minimum splines which involves both types of splines mentioned above. We also consider the notion of g-continuity, which generalizes the qualified smoothness, and cite the necessary and sufficient conditions for the introduced splines to be g-continuous. New families of minimum splines are proposed.

UR - http://www.scopus.com/inward/record.url?scp=0028741454&partnerID=8YFLogxK

U2 - 10.1515/rnam.1994.9.4.349

DO - 10.1515/rnam.1994.9.4.349

M3 - Article

AN - SCOPUS:0028741454

VL - 9

SP - 349

EP - 362

JO - Russian Journal of Numerical Analysis and Mathematical Modelling

JF - Russian Journal of Numerical Analysis and Mathematical Modelling

SN - 0927-6467

IS - 4

ER -

ID: 53484869