The aim here is to consider the orthogonal polynomials S n (ν 0, ν 1, s; x) S_n(ν_0,ν_1,s;x)
with respect to an inner product of the type⟨ f, g⟩ s=∫ f (x) g (x) d ν 0 (x)+ s∫ f′(x) g′(x) d …

Given a pair of quasi-definite moment functionals {v 0, v 1} we introduce the concept of
coherence of the second kind in terms of an algebraic relation that the corresponding …

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Abstract Let {q_n^{(\alpha,\beta)}} _ {n\geq 0} be the sequence of polynomials orthonormal
with respect to the Sobolev inner product\langle f, g\rangle_S:=\int_ {-1}^ 1f (x) g (x) …

In this paper we consider sequences of polynomials orthogonal with respect to the discrete
Sobolev inner product f, g S=∫ 0∞ f (x) g (x) x α ex dx+ F (c) AG (c) t, α>-1, where f and g …

In this paper, we show a complete characterization of the uniform boundedness of the partial
sum operator in a discrete Sobolev space with Jacobi measure. As a consequence, we …

The main objective in this thesis is to consider some topics of research which can be
classified as studies based on a concept known as" coherent pairs of measures of the …

The aim of this paper is to present some new results about the asymptotic behavior of the
partial derivatives of the kernel polynomials associated with the Gamma distribution. We …

En la presente nota hacemos un comentario sobre la famosa desigualdad de Hardy tanto
para el caso discreto como para el caso continuo y se presentan algunas de sus …

In the last 30 years, the study of orthogonal polynomials in Sobolev spaces has obtained an
increasing attention from the research community. The first work on Sobolev orthogonal …