Open Access
2008/2009 Greedy Approximation in Certain Subsystems of the Schauder System
M. G. Grigoryan, A. A. Sargsyan, R. E. Zink
Real Anal. Exchange 34(1): 227-238 (2008/2009).


Although the sequence of greedy approximants associated with the Schauder expansion of a function, $f$, continuous on $[0,1]$, may fail to converge, there always will be a continuous function, arbitrarily close to $f$, whose Schauder expansion does have a convergent sequence of greedy approximants. Further examination of this problem shows that the same sort of proposition is valid for a multitude of subsystems of the Schauder system.


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M. G. Grigoryan. A. A. Sargsyan. R. E. Zink. "Greedy Approximation in Certain Subsystems of the Schauder System." Real Anal. Exchange 34 (1) 227 - 238, 2008/2009.


Published: 2008/2009
First available in Project Euclid: 19 May 2009

zbMATH: 1177.42025
MathSciNet: MR2527136

Primary: 42C10

Keywords: greedy algorithm , Schauder expansion

Rights: Copyright © 2008 Michigan State University Press

Vol.34 • No. 1 • 2008/2009
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