A note on the Geronimus transformation and Sobolev orthogonal polynomials
Classical Analysis and ODEs
2013-08-21 v1 Numerical Analysis
Abstract
In this note we recast the Geronimus transformation in the framework of polynomials orthogonal with respect to symmetric bilinear forms. We also show that the double Geronimus transformations lead to non-diagonal Sobolev type inner products.
Keywords
Cite
@article{arxiv.1308.4364,
title = {A note on the Geronimus transformation and Sobolev orthogonal polynomials},
author = {Maxim Derevyagin and Francisco Marcellán},
journal= {arXiv preprint arXiv:1308.4364},
year = {2013}
}
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16 pages