Saturation Problem ofLp-Approximation by Hermite–Fejér Interpolation

✍ Scribed by G. Min

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 342 KB
• Volume: 87
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1006/jath.1996.0099

✦ Synopsis

The saturation of L p -approximation of Hermite Feje r interpolation based on the zeros of generalized Jacobi polynomials is considered. Although mean convergence may improve the approximation order compared to uniform convergence, surprisingly, their saturation orders are exactly same, that is, 1Ân. An inverse theorem is also given with respect to L p -approximation of Hermite Feje r interpolation.