On Density of Generalized Polynomials
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Published:1991-06-01
Issue:2
Volume:34
Page:202-207
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. math. bull.
Author:
Dyn N.,Lubinsky D. S.,Shekhtman Boris
Abstract
AbstractWe consider the density in C[a, b] of generalized polynomials of the form The main point of this note is that total positivity of K(x, t) has little relationship to density: There is a symmetric, analytic, totally positive (in fact ETP (∞)) kernel K for which these generalized polynomials are not dense.
Publisher
Canadian Mathematical Society
Subject
General Mathematics