Inequalities with exponential weights

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摘要

Let R=(-∞,∞) and let Q∈C2:R→R+=[0,∞) be an even function. Then in this paper we consider the infinite–finite range inequality, an estimate for the Christoffel function, and the Markov–Bernstein inequality with the exponential weights wρ(x)=|x|ρe-Q(x),x∈R.

论文关键词:41A10,41A17,Exponential weight,Infinite–finite range inequality,Christoffel function,Markov–Bernstein inequality

论文评审过程:Received 25 July 2006, Revised 12 December 2006, Available online 21 December 2006.

论文官网地址:https://doi.org/10.1016/j.cam.2006.12.011