English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

The main aim of this work is to apply the study of the asymptotic behaviourof generalized eigenvalues between infinite Hermitian definite positivematrices in an important question regarding the location of zeros of Sobolevorthogonal polynomials. In order to do it we introduce matrix Sobolev innerproducts associated with a set of infinite Hermitian positive definite matricesthat generalize a type of Sobolev inner products. These matrix components arenot necessarily moment matrices associated to measures. This general frameworkallows us to study boundedness of multiplication operator in the space ofpolynomials, that is a sufficient condition for boundedness of zeros oforthogonal polynomials, via this matrix approach. As a consequence of ourresults we provide a criteria to assure boundedness of the zero set of Sobolevorthogonal polynomials in different situations in terms of the generalizedeigenvalues introduced in [10].

Boundedness of zeros of Sobolev orthogonal polynomials via generalized eigenvalues