Interpolation Polynomials of Bernstein Types: A Review
نویسندگان
چکیده
School of Science, Dalian Nationalities University Dalian 116600, Liaoning, P.R. China Abstract In this work, we mainly review two methods for improving the uniform convergence of the known Lagrange interpolation polynomial put forward by Bernstein, namely, the method of weighted mean for basic functions of interpolation and the method of lowering some interpolation conditions. Moreover, we present the conclusions for the constructed interpolation polynomials based on the two basic ideas and list some important references for proving the conclusions based on the algebraic nodes or the trigonometric nodes. Mathematics Subject Classification: 41A28
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