Publication Cover
Applicable Analysis
An International Journal
Volume 67, 1997 - Issue 1-2
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Original Articles

Estimates for jacobi—sobolev type orthogonal polynomials

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Pages 157-174 | Received 01 Aug 1997, Published online: 02 May 2007
 

Abstract

Let the Sobolev-type inner product " where w is the Jacobi weight, c is either 1 or -1 and M, N ≥ 0. We obtain estimates and asymptotic properties on [-1, 1] for the polynomials orthonormal with respect to (.,.) and their kernels. We also compare these polynomials with Jacobi orthonormal polynomials; as a consequence, a result about the convergence acceleration to c of the zeros is given.

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