Interpolation and cubature at the Morrow-Patterson nodes generated by different Geronimus polynomials

DOI10.3318/PRIA.2017.117.02zbMath1380.41001OpenAlexW2611542976MaRDI QIDQ4596931

Stephen Deterding, Lawrence A. Harris

Publication date: 11 December 2017

Published in: Mathematical Proceedings of the Royal Irish Academy (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3318/pria.2017.117.02

zbMATH Keywords

orthogonal polynomialsthree-term recurrence relationalternation pointsGeronimus polynomialsbivariate Lagrange polynomialscubature formula for bivariate polynomialsMorrow-Patterson nodes

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (3)

Alternation points and bivariate Lagrange interpolation ⋮ Interpolation and Cubature at Geronimus Nodes Generated by Different Geronimus Polynomials ⋮ Interpolation and cubature for rectangular sets of nodes

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