Orthogonal polynomials: applications and computation

W Gautschi - Acta numerica, 1996 - cambridge.org
We give examples of problem areas in interpolation, approximation, and quadrature, that
call for orthogonal polynomials not of the classical kind. We then discuss numerical methods …

[PDF][PDF] Lagrange interpolation in some weighted uniform spaces

G Mastroianni, MG Russo - Facta Univ. Ser. Math. Inform, 1997 - researchgate.net
The authors state some results about Lagrange interpolation in the uniform weighted Besov
space B∞ q, r (w). Moreover they construct, via” additional nodes method” and” extended …

Stieltjes polynomials and Lagrange interpolation

S Ehrich, G Mastroianni - Mathematics of computation, 1997 - ams.org
Bounds are proved for the Stieltjes polynomial $ E_ {n+ 1} $, and lower bounds are proved
for the distances of consecutive zeros of the Stieltjes polynomials and the Legendre …

Weighted convergence of Lagrange interpolation based on Gauss-Kronrod nodes

S Ehrich, G Mastroianni - Journal of Computational Analysis and …, 2000 - Springer
Abstract The Gauss-Kronrod quadrature scheme, which is based on the zeros of
Legendrepolynomials and Stieltjes polynomials, is a standard rule for automaticnumerical …

[引用][C] Reproductivity-A general approach to equations

JD Keckic, SB Prešic - Facta Universitatis (Niš), Ser. Math. Inform, 1997

[引用][C] Stieltjes polynomials, Gauss-Kronrod quadrature and nested interpolation

S Ehrich, G Mastroianni