© Yuyang Qiu and Ling Zhu. 2010
Received: 9 April 2010
Accepted: 31 August 2010
Published: 7 September 2010
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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