We extend the definition of Geronimus nodes to include pairs of real numbers where each coordinate consists of the alternation points of a possibly different Geronimus polynomial of the same degree. We give an explicit formula for the Lagrange polynomials for these nodes that involves the reproducing kernel for the product polynomials and deduce a cubature formula for polynomials in two variables with respect to a product measure.
|Title of host publication||Contemporary Mathematics|
|Number of pages||7|
|State||Published - 2017|
Bibliographical notePublisher Copyright:
© 2017 L. Harris.
ASJC Scopus subject areas
- Mathematics (all)