two_fold_convolution_kernel {TVMVP} | R Documentation |
Two-Fold Convolution Kernel Function
Description
This function computes the two-fold convolution of a given kernel function with itself.
The convolution is evaluated over a range of inputs u
and is set to zero outside
the interval \([-2, 2]\).
Usage
two_fold_convolution_kernel(u, kernel_func)
Arguments
u |
A numeric vector of points at which the two-fold convolution kernel is evaluated. |
kernel_func |
A function representing the kernel to be convolved. |
Details
The two-fold convolution kernel is defined as:
K^{(2)}(u) = \int_{-1}^{1} K(v) \cdot K(u - v) \, dv
where K
is the original kernel function. The function evaluates this convolution for each
input u
within the interval \([-2, 2]\) and sets it to zero outside this range.
Value
A numeric vector of two-fold convolution kernel values corresponding to each input u
.
[Package TVMVP version 1.0.5 Index]