A contribution to the problem of L. Fejér on Hermite-Fejér interpolation
✍ Scribed by A.K Varma; J Prasad
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 361 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0021-9045
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📜 SIMILAR VOLUMES
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
## Abstract In this paper we investigate the approximation behaviour of the so‐called Hermite–Fejér interpolation operator based on the zeros of Jacobi polynomials. As a result we obtain the asymptotic formula of approximation rate for these operators. Moreover, such a formula is valid for any indi