On a Class of Triangle Interpolation Operators of Revised Bernstein Type
نویسنده
چکیده
In this paper, to improve the uniform convergence of the known Lagrange interpolation polynomials, a new triangle interpolation operator of Bernstein type is constructed by using the method of two revised nodes. It is proved that the constructed operator converges uniformly to arbitrary continuous functions with period on the whole axis. The best approximation order of the operator is then obtained. Finally, that the highest convergence order of the operator cannot exceed is proved. The problem put forward by Bernstein is answered satisfactorily.
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