Approximation properties of fourier series of Sobolev orthogonal polynomials with Jacobi weight and discrete masses-Reference-Cited by-同舟云学术

Approximation properties of fourier series of Sobolev orthogonal polynomials with Jacobi weight and discrete masses

Published:2017-03 Issue:3-4 Volume:101 Page:718-734
ISSN:0001-4346
Container-title:Mathematical Notes
language:en
Short-container-title:Math Notes

Author:

Sharapudinov I. I.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1134/S0001434617030300.pdf

Reference19 articles.

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2. F. Marcellán, M. Alfaro, and M. L. Rezola, “Orthogonal polynomials on Sobolev spaces: old and new directions,” J. Comput. Appl.Math. 48 (1-2), 113–131 (1993).

3. H. G. Meijer, “Laguerre polynomials generalized to a certain discrete Sobolev inner product space,” J. Approx. Theory 73 (1), 1–16 (1993).

4. G. López, F. Marcellán, and W. Van Assche, “Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product,” Constr. Approx. 11 (1), 107–137 (1995).

5. K. H. Kwon and L. L. Littlejohn, “The orthogonality of the Laguerre polynomials {L(-k) n (x)} for positive integers k,” Ann. Numer.Math. 2 (1-4), 289–303 (1995).

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