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Jeff Ledford
On the density of scattered translates of the general multiquadric in C([a,b]) view print
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Published: |
February 5, 2014
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Keywords: |
Multiquadric approximation |
Subject: |
41A30, 41A58 |
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Abstract
This note concerns density properties of the general multiquadric, (x2+c2)k-1/2, where k is a fixed natural number. We establish that scattered translates of the general multiquadric are dense in C([a,b]), where a and b are finite. As a corollary, we show that scattered translated of the general multiquadric are dense in the function spaces Lp([a,b]), for 1≦ p <∞.
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Author information
Virginia Commonwealth University, 1015 Floyd Ave., Richmond, VA 23284
jpledford@vcu.edu
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