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Weighted Convergence of Lagrange Interpolation Based on Gauss-Kronrod Nodes

✍ Scribed by Sven Ehrich; Giuseppe Mastroianni


Book ID
110288126
Publisher
Springer
Year
2000
Tongue
English
Weight
209 KB
Volume
2
Category
Article
ISSN
1572-9206

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Uniform Convergence of Lagrange Interpol
✍ George Kvernadze πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 485 KB

Necessary and sufficient conditions are obtained for a continuous function guaranteeing the uniform convergence on the whole interval [ &1, 1] of its Lagrange interpolant based on the Jacobi nodes. The conditions are in terms of 4-variation, 8-variation, the modulus of variation, and the Banach indi