chebyshev.t.inner.products {orthopolynom}R Documentation

Inner products of Chebyshev polynomials

Description

This function returns a vector with $n$+1 elements containing the inner product of an order $k$ Chebyshev polynomial of the first kind, T_k ( x), with itself (i.e. the norm squared) for orders $k$ = 0, 1, ... , $n$.

Usage

chebyshev.t.inner.products(n)

Arguments

n integer highest polynomial order

Details

~~ If necessary, more details than the description above ~~

Value

A vector with $n$+1 elements

1 inner product of order 0 orthogonal polynomial
2 inner product of order 1 orthogonal polynomial
n+1 inner product of order $n$+1 orthogonal polynomial

Author(s)

Frederick Novomestky fnovomes@poly.edu

References

Abramowitz and Stegun (1968)

Examples

h <- chebyshev.t.inner.products( 10 )

[Package orthopolynom version 1.0-1 Index]