Fifty Years of Schoenberg's Problem on the Convergence of Spline Interpolation / Volkov Yu. S.,Subbotin Yu. N. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2015. - V. 288, l. 1. - P. S222-S237.

ISSN/EISSN:
0081-5438 / 1531-8605
Type:
Article
Abstract:
A review of results on the convergence of the interpolation process for polynomial splines and derivatives in the last 50 years is given.
Author keywords:
polynomial splines; interpolation; convergence OPTIMAL ERROR-BOUNDS; L-INFINITY-BOUNDEDNESS; CUBIC-SPLINES; GENERALIZED SPLINES; LEBESGUE CONSTANTS; 3RD DERIVATIVES; GEOMETRIC MESH; KNOT SEQUENCE; ODD-DEGREE; APPROXIMATION
DOI:
10.1134/S0081543815020236
Web of Science ID:
ISI:000352991400022
Соавторы в МНС:
Другие поля
Поле Значение
Month APR
Publisher MAIK NAUKA/INTERPERIODICA/SPRINGER
Address 233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language English
EISSN 1531-8605
Keywords-Plus OPTIMAL ERROR-BOUNDS; L-INFINITY-BOUNDEDNESS; CUBIC-SPLINES; GENERALIZED SPLINES; LEBESGUE CONSTANTS; 3RD DERIVATIVES; GEOMETRIC MESH; KNOT SEQUENCE; ODD-DEGREE; APPROXIMATION
Research-Areas Mathematics
Web-of-Science-Categories Mathematics, Applied; Mathematics
Author-Email volkov@math.nsc.ru yunsub@imm.uran.ru
ResearcherID-Numbers Volkov, Yuriy/C-5152-2012 Subbotin, Yurii Nikolaevich/C-4273-2017
ORCID-Numbers Volkov, Yuriy/0000-0002-7298-8578
Funding-Acknowledgement Russian Foundation for Basic Research {[}11-07-00447, 14-01-00496]; Siberian Branch of the Russian Academy of Sciences {[}2012-B-32]; Ural Branch of the Russian Academy of Sciences {[}12-S-1-1018]; Program for State Support of Leading Universities of the Russian Federation {[}02.A03.21.0006]; Russian President's Grant for State Support of Leading Scientific Schools {[}NSh-4538.2014.1]
Funding-Text This work was supported by the Russian Foundation for Basic Research (project nos. 11-07-00447 and 14-01-00496), by integration projects of the Siberian Branch of the Russian Academy of Sciences (project no. 2012-B-32) and the Ural Branch of the Russian Academy of Sciences (project no. 12-S-1-1018), by the Program for State Support of Leading Universities of the Russian Federation (agreement no. 02.A03.21.0006 of August 27, 2013), and by the Russian President's Grant for State Support of Leading Scientific Schools (project no. NSh-4538.2014.1).
Number-of-Cited-References 112
Usage-Count-Last-180-days 2
Usage-Count-Since-2013 14
Journal-ISO Proc. Steklov Inst. Math.
Doc-Delivery-Number CG0VY