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Re: Approximation of a Function

• To: mathgroup at smc.vnet.net
• Subject: [mg33485] Re: [mg33428] Approximation of a Function
• From: Tomas Garza <tgarza01 at prodigy.net.mx>
• Date: Fri, 22 Mar 2002 04:08:01 -0500 (EST)
• References: <200203211427.JAA18125@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

I guess you might use some kind of fit with the model g, giving some points
extracted from f. Now, if you have f, why would you want to find a function
to approximate it?  f is simple enough, i.e. quadratic on x, whereas the g
you get from fitting could actually turn to be more complicated. Do you
think a function of x, where x enters with a possibly non-integral exponent,
is simpler than a polynomial of degree 2?

Tomas Garza
Mexico City
----- Original Message -----
From: "Zsolt Regaly" <rezso at amalthea.elte.hu>
To: mathgroup at smc.vnet.net
Subject: [mg33485] [mg33428] Approximation of a Function


> Hi MathGroup!
>
> Can somebody to help me to find a solution of approximation of a function?
> I have a function f[x_]:=a*x+b*x^2+c*x^3, where a,b,c are known numbers. I
> would like to find a simplier function for f, for example g[x]=c1 x^c2 at
an
> given interval with specified precision. How can I find the numbers c1 and
c2?
>
> Thanks for Help, Zsolt Regaly.
>

• References:
  • Approximation of a Function
    • From: Zsolt Regaly <rezso@amalthea.elte.hu>