orthopolynom (version 1.0-6.1)

polynomial.functions: Coerce polynomials to functions

Description

This function returns a list with \(n + 1\) elements containing the functions of the order $k$ polynomials for orders \(k = 0,\;1,\; \ldots ,\;n\) and for the given argument \(x\).

Usage

polynomial.functions(polynomials, ...)

Value

A list of \(n + 1\) polynomial objects where each element is the function for the polynomial.

1

Function for the order 0 polynomial

2

Function for the order 1 polynomial

...

n+1

Function for the order \(n\) polynomial

Arguments

polynomials

a list of polynomial objects

...

further arguments to be passed to or from methods

Author

Frederick Novomestky

Details

The function uses the method as.function.polynomial to coerce each polynomial object to a function object.

Examples

###
### generate a list of T Chebyshev polynomials of
### orders 0 to 10
###
p.list <- chebyshev.t.polynomials( 10, normalized=FALSE )
###
### create the list of functions for each polynomial
###
f.list <- polynomial.functions( p.list )