The de la Vallée-Poussin kernel for orthogonal polynomial systems (Q2757214)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: The de la Vallée-Poussin kernel for orthogonal polynomial systems |
scientific article; zbMATH DE number 1676080
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The de la Vallée-Poussin kernel for orthogonal polynomial systems |
scientific article; zbMATH DE number 1676080 |
Statements
29 July 2003
0 references
de la Vallée Poussin kernel
0 references
orthogonal polynomials
0 references
Jacobi polynomials
0 references
generalized Chebyshev polynomials
0 references
The de la Vallée-Poussin kernel for orthogonal polynomial systems (English)
0 references
The aim of the present paper is to present a general definition of the de la Vallée Poussin kernel for a certain class of orthogonal polynomials defined by means of a three-term recurrence relation. Sufficient conditions are given for the de la Vallée Poussin kernel to be an approximate identity with respect to the Banach spaces \(C(S)\) and \(L^p(S,\pi)\), \(1\leq p< \infty\), where \(S\) is the support of the orthogonality measure \(\pi\). Important examples such as Jacobi polynomials and generalized Chebyshev polynomials are discussed.
0 references
