Uniform Approximation of Curvature for Smooth Classes of Plane Curves / Subbotin Yu. N. // PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. - 2017. - V. 297, l. 1. - P. S182-S185.

ISSN/EISSN:

0081-5438 / 1531-8605

Type:

Article

Abstract:

We consider problems of approximating the curvature of plane curves from smooth classes by the curvature of elements of smooth finite-dimensional function spaces (trigonometric polynomials, splines with equidistant knots) in the uniform norm.

Author keywords:

curvature; uniform approximation; classes of smooth functions; trigonometric polynomials; splines with equidistant knots; estimates of approximation error

DOI:

10.1134/S0081543817050194

Web of Science ID:

ISI:000410252500019

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	JUL
Publisher	MAIK NAUKA/INTERPERIODICA/SPRINGER
Address	233 SPRING ST, NEW YORK, NY 10013-1578 USA
Language	English
EISSN	1531-8605
Research-Areas	Mathematics
Web-of-Science-Categories	Mathematics, Applied; Mathematics
Author-Email	yunsub@imm.uran.ru
Funding-Acknowledgement	Russian Foundation for Basic Research {[}14-0100496]; RF President's {[}NSh-4538.2014.1]; Ministry of Education and Science of the Russian Federation {[}02.A03.21.0006]; Ural Federal University {[}02.A03.21.0006]
Funding-Text	This work was supported by the Russian Foundation for Basic Research (project no. 14-0100496),by the RF President's grant no. NSh-4538.2014.1, and by the Russian Academic Excellence Project (agreement no. 02.A03.21.0006 of August 27, 2013, between the Ministry of Education and Science of the Russian Federation and Ural Federal University).
Number-of-Cited-References	8
Journal-ISO	Proc. Steklov Inst. Math.
Doc-Delivery-Number	FG4RG