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Generalized Jacobi Weights, Christoffel Functions, and Jacobi-polynomials

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Nevai, P. Erdelyi, T. Magnus, AP.

The authors obtain upper bounds for Jacobi polynominals which are uniform in all the parameters involved and which contain explicit constants. This is done by a combination of some results on generalized Christoffel functions and some estimates of Jacobi polynomials in terms of Christoffel functions.

Document type Article de périodique (Journal article) – Article de recherche
Publication date 1994
Language Anglais
Journal information "SIAM Journal on Mathematical Analysis" - Vol. 25, no. 2, p. 602-614 (1994)
Peer reviewed yes
Publisher Siam Publications (Philadelphia)
issn 0036-1410
e-issn 1095-7154
Publication status Publié
Affiliation UCL
Keywords ORTHOGONAL POLYNOMIALS ; CHRISTOFFEL FUNCTIONS ; JACOBI WEIGHTS ; JACOBI POLYNOMIALS
Links
Bibliographic reference Nevai, P. ; Erdelyi, T. ; Magnus, AP.. Generalized Jacobi Weights, Christoffel Functions, and Jacobi-polynomials. In: SIAM Journal on Mathematical Analysis, Vol. 25, no. 2, p. 602-614 (1994)
Permanent URL http://hdl.handle.net/2078.1/48704