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One-sided convergence conditions of Lagrange interpolation based on Jacobi-type weights

✍ Scribed by B. Della Vecchia; G. Mastroianni; P. Vértesi


Book ID
111543721
Publisher
Akadmiai Kiad
Year
2003
Tongue
English
Weight
315 KB
Volume
99
Category
Article
ISSN
1588-2632

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📜 SIMILAR VOLUMES


Uniform Convergence of Lagrange Interpol
✍ George Kvernadze 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 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