Composition of Expansions
- To: mathgroup at smc.vnet.net
- Subject: [mg54982] Composition of Expansions
- From: "Scott Guthery" <sguthery at mobile-mind.com>
- Date: Tue, 8 Mar 2005 05:04:52 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Bf[f_] := Sum[f[i/100]B[i,100,x],{i,0,100}]
gives the Bernstein expansion of f.
Df[f_] := 1-Bf[f]
is a function of interest. I want to work with
Df[Df[Df[...[Df[g]]...]]] for some g[x_] := ...
i.e Bernstein expansions of Bernstein expansions.
As a simple example, suppose g[x_] := x^2 and try
Plot[Composition[Df, Df[g]], {x, 0, 1}]
Composition[Df, Df[g]] does not compute.
Thanks for any insight.
Cheers, Scott
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