Calculation of the Moments of the Cardinal B-Spline

Abstract

In this paper we describe five methods for the calculation of the moments
\begin{equation*}\label{Momenti}
\mathbb{M}_{n,m}=\int_{0}^{m}\varphi_{m}(t)t^{n}dt,
n\in\mathbb{N}_{0},
\end{equation*}
where weight function $\varphi_{m}(\cdot)$ is the cardinal B-spline of order $m,m\in\mathbb{N}.$

2000 Mathematics Subject Classification. 65D07, 41A15