Landau-Kolmogorov type inequalities in several variables for the Jacobi measure

Autor:	Lamia Abbas, André Draux
Jazyk:	English<br />French<br />Italian
Rok vydání:	2014
Předmět:	markov-bernstein inequalities landau-kolmogorov type inequalities l2 norm jacobi measure orthogonal polynomials several variables variational method sobolev spaces Mathematics QA1-939
Zdroj:	Rendiconti di Matematica e delle Sue Applicazioni, Vol 35, Iss 3-4, Pp 99-114 (2014)
Druh dokumentu:	article
ISSN:	1120-7183 2532-3350
Popis:	This paper is devoted to Landau-Kolmogorov type inequalities in several variables in L2 norm for Jacobi measures. These measures are chosen in such a way that the partial derivatives of the Jacobi orthogonal polynomials are also orthogonal. These orthogonal polynomials in several variables are built by tensor product of the orthogonal polynomials in one variable. These inequalities are obtained by using a variational method and they involve the square norms of a polynomial p and at most those of the partial derivatives of order 2 of p.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/6ea1b5c499524d50a8b3387a58f6a0b6 Zobrazit plný text záznamu View record in DOAJ