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A Criterion for the Uniform Convergence of the Lagrange-Jacobi Interpolation Process.
- Source :
- Mathematical Notes; Jan/Feb2006, Vol. 79 Issue 1/2, p233-244, 12p
- Publication Year :
- 2006
-
Abstract
- We obtain a uniform and sufficient condition for the convergence of the Lagrange interpolation process with Jacobi nodes on a closed interval [ a, b] ⊂ (−1, 1). The condition is stated in terms of the second differences of the interpolated function and uses its values only at the interpolation nodes. Some well-known criteria for uniform convergence are obtained as a consequence of our result. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 79
- Issue :
- 1/2
- Database :
- Complementary Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 19537809
- Full Text :
- https://doi.org/10.1007/s11006-006-0026-6