Calculation of the Moments of the Cardinal B-Spline
DOI:
https://doi.org/10.5644/SJM.05.2.12Abstract
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
Statistics
Abstract: 37 / PDF: 14
References
C. Chui, An Introduction to Wavelets, Academic Press, inc., Boston San Diego New York London Sydney Tokyo Toronto, 1992.
C. Chui, Wavelets: A mathematical tool for signal analysis, Society for Industrial and Applied Mathematics, (SIAM), Philadelphia, 1997.
Z. Udoviˇci´c, One point quadrature rule with cardinal B-spline, J. Math. Anal. Appl., 360 (2009), 432–438.
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Published
11.06.2024
How to Cite
Udovičić, Z. . (2024). Calculation of the Moments of the Cardinal B-Spline. Sarajevo Journal of Mathematics, 5(2), 291–297. https://doi.org/10.5644/SJM.05.2.12
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