Uniform Convergence of Lagrange Interpol
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George Kvernadze
📂
Article
📅
1996
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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