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The Best Approximation of the Sinc Function by a Polynomial of Degree with the Square Norm
Journal of Inequalities and Applications volume 2010, Article number: 307892 (2010)
Abstract
The polynomial of degree n which is the best approximation of the sinc function on the interval (0, ] with the square norm is considered. By using Lagrange's method of multipliers, we construct the polynomial explicitly. This method is also generalized to the continuous function on the closed interval [a, b]. Numerical examples are given to show the effectiveness.
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Qiu, Y., Zhu, L. The Best Approximation of the Sinc Function by a Polynomial of Degree with the Square Norm. J Inequal Appl 2010, 307892 (2010). https://doi.org/10.1155/2010/307892
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DOI: https://doi.org/10.1155/2010/307892