Name
Abstract | ||
|---|---|---|
Bounds are proved for the Stieltjes polynomial En+1 ,a nd lower bounds are proved for the distances of consecutive zeros of the Stieltjes poly- nomials and the Legendre polynomials Pn. This sharpens a known interlacing result of Szego. As a byproduct, bounds are obtained for the Geronimus poly- nomials Gn. Applying these results, convergence theorems are proved for the Lagrange interpolation process with respect to the zeros of En+1, and for the extended Lagrange interpolation process with respect to the zeros of PnEn+1 in the uniform and weighted Lp norms. The corresponding Lebesgue constants are of optimal order. |
Year | DOI | Venue |
|---|---|---|
1997 | 10.1090/S0025-5718-97-00808-9 | Math. Comput. |
Keywords | Field | DocType |
lagrange interpolation,. stieltjes polynomials,stieltjes polynomial,extended lagrange in- terpolation,convergence.,lower bound,convergence,n 1,lp norm,legendre polynomial,n | Lagrange polynomial,Mathematical optimization,Classical orthogonal polynomials,Polynomial,Orthogonal polynomials,Mathematical analysis,Legendre polynomials,Fourier transform,Mathematics,Lebesgue integration,Riemann–Stieltjes integral | Journal |
Volume | Issue | ISSN |
66 | 217 | 0025-5718 |
Citations | PageRank | References |
7 | 1.63 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sven Ehrich | 1 | 12 | 5.39 |
| Giuseppe Mastroianni | 2 | 35 | 10.38 |