On transforming a Tchebycheff system into a complete Tchebycheff system
نویسندگان
چکیده
منابع مشابه
On a class of weak Tchebycheff systems
In this paper we study the approximation power, the existence of a normalized B-basis and the structure of a degree-raising process for spaces of the form span < 1, x, . . . , x, u(x), v(x) >, requiring suitable assumptions on the functions u and v. The results about degree raising are detailed for special spaces of this form which have been recently introduced in the area of CAGD.
متن کاملCombinatorics of generalized Tchebycheff polynomials
By considering a family of orthogonal polynomials generalizing the Tchebycheff polynomials of the second kind we refine the corresponding results of De Sainte-Catherine and Viennot on Tchebycheff polynomials of the second kind (Lecture Notes in Mathematics, vol. 1171, 1985, Springer-Verlag, 120). © 2003 Elsevier Science Ltd. All rights reserved.
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چکیده ندارد.
15 صفحه اولA Conic Programming Approach to Generalized Tchebycheff Inequalities
Consider the problem of finding optimal bounds on the expected value of piece-wise polynomials over all measures with a given set of moments. This is a special class ofGeneralized Tchebycheff Inequalities in probability theory. We study this problem within the framework of conic programming. Relying on a general approximation scheme for conic programming, we show that these bounds can be numeri...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1977
ISSN: 0021-9045
DOI: 10.1016/0021-9045(77)90076-4