On the positivity of some bilinear functionals in Sobolev spaces

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:106

Article

Draux, A ; Elhami, C

关键词: formal orthogonal polynomial;    Laguerre;    Gegenbauer;    Jacobi polynomial;    Laguerre-Sobolev;    Gegenbauer-Sobolev;    Jacobi-Sobolev polynomial;    definite inner product;    Markov-Bernstein inequality;    zeros of polynomial;   

DOI  :  10.1016/S0377-0427(99)00063-1

来源: Elsevier

【 摘 要 】

The positivity of a bilinear fuctional a [GRAPHICS] is studied as a function of coefficients lambda(m). The concerned cases are those of Laguerre, Gegenbauer and Jacobi for C((m)) = C((O)), m = 1,...,N. The domain {lambda(m))(m=1)(N) where a is positive definite, is given. As a consequence, when N = 1, the corresponding Markov-Bemstein inequalities are given. (C) 1999 Elsevier Science B.V. All rights reserved.

【 授权许可】

Free