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schebyshev.u.inner.products <- function( n )
{
###
### This function returns a vector with n+1 elements
### containing the inner product of an order k shifted Chebyshev polynomial
### of the second kind, Ustar-k(x), with itself (i.e. the norm squared)
### for orders k=0,1,...,n
###
### Parameters
### n = integer highest polynomial order
###
if ( n < 0 )
stop( "negative highest polynomial order" )
if ( n != round( n ) )
stop( "highest polynomial order is not integer" )
inner.products <- rep( pi / 8, n + 1 )
return( inner.products )
}
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