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 <https://mail2.mobile-mind.com/exchange/sguthery/Drafts/RE:%20[mg54935]%20Re:%20[mg54824]%20Re:%20[mg54801]%20New%20in%205.1.1_x003F_.EML/#>