Title

An extremal problem and an estimation of the Wronskian of certain Jacobi polynomials

Authors

Authors

X. Li

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

J. Comput. Appl. Math.

Keywords

Jacobi polynomials; extremal problem; maximum; Wronskian; Mathematics, Applied

Abstract

We study an extremal problem related to "splitted" Jacobi weights: for alpha, beta > 0, find the largest value of max(xis an element of[-1,1]) [(1 + x)(beta) p(m)(x)(2) + (1 - x)(alpha)q(n)(x)(2)] among all polynomials p(m) and q(n) of degree at most m and n, respectively, satisfying integral(-1)(1) [(1 + x)(beta) p(m)(x)(2) + (1 - x)(alpha)q(n)(x)(2)] dx = 1. We show that the solution of this problem is related to an estimation of the Christoffel functions and the Wronskians associated with certain Jacobi polynomials. (C) 2002 Elsevier Science B.V. All rights reserved.

Journal Title

Journal of Computational and Applied Mathematics

Volume

153

Issue/Number

1-2

Publication Date

1-1-2003

Document Type

Article; Proceedings Paper

Language

English

First Page

311

Last Page

320

WOS Identifier

WOS:000181888700030

ISSN

0377-0427

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