Инд. авторы:	Kvasov B.I.
Заглавие:	Local bases for generalized cubic splines
Библ. ссылка:	Kvasov B.I. Local bases for generalized cubic splines // Russian Journal of Numerical Analysis and Mathematical Modelling. - 1995. - Т.10. - № 1. - С.49-80. - ISSN 0927-6467. - EISSN 1569-3988.
Внешние системы:	DOI: 10.1515/rnam.1995.10.1.49; WoS: A1995QU76400005;
Реферат:	eng: Direct and recursive algorithms are proposed for constructing generalized cubic B-splines. Explicit formulae are obtained for generalized B-splines. Properties of series consisting of B-splines are studied. It is shown that generalized B-splines form weak Chebyshev systems. The presented formulae of local approximation are exact for polynomials of the first degree. Examples of generalized B-splines including those with alternating signs are considered.
Ключевые слова:	RECURRENCE RELATION; CHEBYSHEVIAN B-SPLINES;
Издано:	1995
Физ. характеристика:	с.49-80