- #1
sauravrt
- 15
- 0
I am working on a problem where I want to approximate a transcendental function of the form
[itex]f(x) = x^Ne^{x}[/itex] for [itex] x \geq 0[/itex] as a linear combination of functions of the form [itex] x^v \text{where} -1 < v < 0[/itex].
How can I find the basis functions of the desired form to represent my transcendental function as a finite linear combination?
If not, what would be approach to obtain finte approximate a transcendental function of the form above ?
[itex]f(x) = x^Ne^{x}[/itex] for [itex] x \geq 0[/itex] as a linear combination of functions of the form [itex] x^v \text{where} -1 < v < 0[/itex].
How can I find the basis functions of the desired form to represent my transcendental function as a finite linear combination?
If not, what would be approach to obtain finte approximate a transcendental function of the form above ?