Sobolev orthogonal polynomials have been studied extensively in the past quarter-century.
The research in this field has sprawled into several directions and generates a plethora of …

During the last years, orthogonal polynomials on Sobolev spaces have attracted
considerable attention. Algebraic properties, distribution of their zeros and Fourier …

This paper discusses recurrence relations for sequences of polynomials which are
orthogonal with respect to the Sobolev inner product defined on the set of polynomials P by …

There are a number of texts covering the theory of orthogonal polynomials on the real line
and some of their applications (for example, see [4, 11, 37, 43, 46, 52, 60, 61]). A …

We consider multiple Geronimus transformations and show that they lead to discrete (non-
diagonal) Sobolev type inner products. Moreover, it is shown that every discrete Sobolev …

In the present paper we deal with the polynomials Ln (α, M, N)(x) orthogonal with respect to
the Sobolev inner product [Formula: see text], firstly introduced by Koekoek and Meijer in …

A note on the Geronimus transformation and Sobolev orthogonal polynomials Page 1
Numer Algor (2014) 67:271–287 DOI 10.1007/s11075-013-9788-6 ORIGINAL PAPER A …

In this contribution we deal with sequences of polynomials orthogonal with respect to a
Sobolev type inner product. A banded symmetric operator is associated with such a …

Let {S λ n} denote a set of polynomials orthogonal with respect to the Sobolev inner product<
f, g# 62;=∫ abf (x) g (x) dψ 0 (x)+ λ∫ abf′(x) g′(x) dψ 1 (x), where {dψ 0, dψ 1} is a …

For polynomials orthogonal with respect to a discrete Sobolev product, we prove that, for
each n, Qn has at least n− m zeros on the convex hull of the support of the measure, where …