Markov-Bernstein type inequalities of multivariate polynomials with positive coefficients and applications |
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Authors: | Lu Xuguang |
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Affiliation: | (1) Department of Applied Mathematics, Tsinghua University, 100084 Beijing, China |
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Abstract: | The Cauchy’s formula of entire functions f:Ck→C is used to establish Markov-Bernstein type inequalities of multivariate polynomials with positive coeffeicients on the k-dimensional simplex Tk⊂Rk and on the cube [0,1]k. The main results generalize and improve those of G.G. Lorentz, etc. Some applications of these inequalities are also considered in polynomial constrained approximation. |
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