A note on the Geronimus transformation and Sobolev orthogonal polynomials

2013/08/20 by Derevyagin, Maxim, Marcellán, Francisco
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Numerical Analysis (math.NA) #Primary 42C05 #Secondary 15A23

paper · doi:10.48550/arxiv.1308.4364

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.

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