Estimates for Jacobi-Sobolev type orthogonal polynomials

Details Estimates for Jacobi-Sobolev type orthogonal polynomials Estimates for Jacobi-Sobolev type orthogonal polynomials

1996-01-26

arxiv.org/abs/math/9601216v1

Mathematics

Classical Analysis and ODEs

Scientific paper

Let the Sobolev-type inner product = \int fg d mu_0+ int f' g' d mu_1 with mu_0 = w + M delta_c, mu_1= N delta_c 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.

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