Uniform reconstruction of continuous functions with the RAFU method
Submitted: 2017-02-12
|Accepted: 2017-04-10
|Published: 2017-10-02
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Keywords:
RAFU method, RAFU approximation, uniform approximation
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Abstract:
References:
H. Behforooz, Approximation by integro cubic splines, Appl. Math. Comput. 175 (2006), 8--15.
H. Behforooz, Interpolation by integro quintic splines, Appl. Math. Comput. 216 (2010), 364--367.
J.L. Blasco and A. Moltó, On the uniform closure of
a linear space of bounded real-valued functions, Annali di Matematica Pura ed Applicata IV, vol. CXXXIV (1983) 233--239.
J. Bustamante, R.C. Castillo, A.F. Collar, A regularization
method for polynomial approximation of functions from their approximate values at nodes, J. Numer. Math. Volume 17 Issue 2 (2009), 97--118.
Y. Chen, Y. Huang, W. Han, Function reconstruction
from noisy local averages, Inverse Problems 24 (2008), 025003. http://dx.doi.org./10.1088/0266-5611/24/2/025003. 14
E.W. Cheney, Approximation Theory, AMS Chelsea Publishing.
E. Corbacho, Uniform approximation with radical functions,
SEMA Journal 58 (2012), 97--122.
E. Corbacho, A RAFU linear space uniformly dense in
C[a,b], Appl. Gen. Topology 14 (1) (2013), 53--60.
E. Corbacho, Approximation in different smoothness
spaces with the RAFU method, Appl. Gen. Topology 15 (2) (2014) 221--228.
E. Corbacho, Simultaneous approximation with the RAFU
method (To appear in J. Math. Inequal).
E. Delhez, A spline interpolation technique that
preserves mass budgets, Appl. Math. Lett. 16 (2003), 16--26.
E. Epstein, On obtaining daily climatological values
from monthly means, J. Clim. 4 (1991), 365--8.
M.I. Garrido and F. Montalvo, Uniform approximation theorems for real-valued continuous functions, Topology and Appl. 45 (1992), 145--155.
T. Gassó, S. Hernández and E. Rojas, Representation and approximation by series of continuous functions, Acta Math. Hungar., 123, no. 1-2 (2009), 91-102.
R.C. González, R.E. Woods, Digital image Processing
nd edn, New Jersey, Prentice Hall (2002)
J. Huang, Y. Chen, A regularization method for the
function reconstruction from approximate average fluxes, Inverse Problems 21 (2005), 1667--84.
P. Killworth, Time interpolation of forcing fields
in ocean models, TJ Phys. Oceanogr. 26 (1996), 136--43.
F.G. Lang, X.P. Xu, On integro quartic spline interpolation,
J. Comput. Appl. Math. 236 (2012), 4214--4226.
T. Zhanlav, R. Mijiddorj, The local integro cubic
splines and their approximation properties, Appl. Math. Comput. 216 (2010), 2215--2219.