IJPAM: Volume 100, No. 1 (2015)
ON OPTIMAL DERIVATIVE ERROR BOUNDS
FOR LAGRANGE INTERPOLATION
FOR LAGRANGE INTERPOLATION
F. Dubeau
Mathematics Department
University of Sherbrooke
2500 University Boul., Sherbrooke (Qc), CANADA, J1K 2R1
Mathematics Department
University of Sherbrooke
2500 University Boul., Sherbrooke (Qc), CANADA, J1K 2R1
Abstract. We analyze the approximation of the derivative of a function by considering the derivative of its Lagrange interpolation polynomial. Optimal truncation errors bounds are established by a direct approach using Peano's kernels and depend on the regularity of the function.
Received: December 3, 2014
AMS Subject Classification: 65D25, 65D05, 26A46
Key Words and Phrases: numerical differentiation, Lagrange interpolation, Taylor's expansion, Peano's kernel
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DOI: 10.12732/ijpam.v100i1.7 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2015
Volume: 100
Issue: 1
Pages: 75 - 80
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This work is licensed under the Creative Commons Attribution International License (CC BY).
