New York Journal of Mathematics
Volume 20 (2014) 145-151

  

Jeff Ledford

On the density of scattered translates of the general multiquadric in C([a,b])

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Published: February 5, 2014
Keywords: Multiquadric approximation
Subject: 41A30, 41A58

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 <∞.

Author information

Virginia Commonwealth University, 1015 Floyd Ave., Richmond, VA 23284
jpledford@vcu.edu