FNevChebP

Routine

double FNevChebP (double x, const float c[], int N)

Purpose

Evaluate a series expansion in Chebyshev polynomials

Description

            N-1
     Y(x) = SUM c(i) T(i,x) ,
            i=0

where N is the number of terms in the expansion, c(i) is the coefficient for the i'th Chebyshev polynomial, and T(i,x) is the i'th order Chebyshev polynomial evaluated at x.

The Chebyshev polynomials satisfy the recursion

  T(i,x) = 2x T(i-1,x) - T(i-2,x),

Parameters

<- double FNevChebP

Resultant value

-> double x

Input value

-> const float c[]

Array of coefficient values. c[i] is the coefficient of the i'th order Chebyshev polynomial.

-> int N

Number of coefficients

Author / revision