kernel10 | R Documentation |
This function evaluates a kernel of order 10. A kernel of order 10.
kernel10(x)
x |
A vector of real numbers. |
This function evaluates a kernel of order 10. A kernel L is a kernel of order 10 if it integrates 1, the integrals of u^j L(u) are 0 for 1 <= j < 10 (j integer) and the integral of u^10 L(u) is different from 0.
A vector of the same length as x
where each entry is 0.75 * ( 1 - x^2 ) * ( 315/128 - 105/32 * x^2 + 63/64 * x^4 - 3/32 * x^6 - 1/384 * x^8 )
and 0 otherwise.
Alejandra Martinez, ale_m_martinez@hotmail.com, Matias Salibian-Barrera
x <- seq(-2,2,length=10)
kernel10(x)
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