The Best Approximation of the Sinc Function by a Polynomial of Degree n with the Square Norm
نویسندگان
چکیده
The polynomial of degree n which is the best approximation of the sinc function on the interval 0, π/2 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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