A convergence theorem for certain Lagrange interpolation polynomials
نویسندگان
چکیده
منابع مشابه
On Improvement of Uniform Convergence of Lagrange Interpolation Polynomials
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 ...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1943
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1943-07864-0