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INFINITE FINITE RANGE INEQUALITIES  

Joung, Haewon (Department of mathematics Inha University)
Publication Information
Korean Journal of Mathematics / v.18, no.1, 2010 , pp. 63-77 More about this Journal
Abstract
Infinite finite range inequalities relate the norm of a weighted polynomial over ${\mathbb{R}}$ to its norm over a finite interval. In this paper we extend such inequalities to generalized polynomials with the weight $W(x)={\prod}^{m}_{k=1}{\mid}x-x_k{\mid}^{{\gamma}_k}{\cdot}{\exp}(-{\mid}x{\mid}^{\alpha})$.
Keywords
infinite finite range inequalities; weighted polynomials; generalized polynomials;
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