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

In this paper the discrete Sobolev inner product $$< p,q > =\int p(x) q(x)\,d\mu + \sum_{i=0}^r M_i \, p^{(i)}(c) \, q^{(i)}(c)$$ is considered, where$\mu$ is a finite positive Borel measure supported on an infinite subset of thereal line, $c\in\mathbb{R}$ and $\, M_i \ge 0, \, i = 0, 1, ..., r.$  Connection formulas for the orthonormal polynomials associated with $< ., .>$ are obtained. As a consequence, for a wide class of measures $\mu$, we givethe Mehler-Heine asymptotics in the case of the point $c$ is a hard edge of thesupport of $\mu$. In particular, the case of a symmetric measure $\mu$ isanalyzed. Finally, some examples are presented.

Connection formulas for general discrete Sobolev polynomials. Mehler-Heine asymptotics