distr6 (version 1.3.1)

generalPNorm: Generalised P-Norm

Description

Calculate the p-norm of any function between given limits.

Usage

generalPNorm(fun, p, lower, upper)

Arguments

fun

function to calculate the p-norm of.

p

the pth norm to calculate

lower

lower bound for the integral

upper

upper bound for the integral

Value

Returns a numeric value for the p norm of a function evaluated between given limits.

Details

The p-norm of a function \(f\) is given by, $$(\int_S |f|^p d\mu)^{1/p}$$ where \(S\) is the function support.

The p-norm is calculated numerically using the integrate function and therefore results are approximate only.

Examples

# NOT RUN {
generalPNorm(Exponential$new()$pdf,2,0,10)

# }