orthopolynom (version 1.0-2)

chebyshev.t.weight: Weight function for the Chebyshev polynomial

Description

This function returns the value of the weight function for the order $k$ Chebyshev polynomial of the first kind, $T_k \left( x \right)$.

Usage

chebyshev.t.weight(x)

Arguments

x

the function argument which can be a vector

Value

• The value of the weight function

Details

The function takes on non-zero values in the interval $\left( -1,1 \right)$.

References

Abramowitz and Stegun (1968)

Examples

x <- seq( -2, 2, .01 )
y <- chebyshev.t.weight( x )