On Improvement of Uniform Convergence of Lagrange Interpolation Polynomials
نویسندگان
چکیده
Due to the Lagrange interpolation polynomials do not converge uniformly to arbitrary continuous functions, in this paper, a new interpolation polynomial is constructed by using the weighted average method to the interpolated functions. It is proved that the interpolation polynomial not only converges uniformly to arbitrary continuous functions, but also has the best approximation order and the highest convergence order. Mathematics Subject Classification: 41A28
منابع مشابه
Extended Lagrange interpolation in weighted uniform norm
The author studies the uniform convergence of extended Lagrange interpolation processes based on the zeros of Generalized Laguerre polynomials. 2009 Elsevier Inc. All rights reserved.
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