A novel construction of B-spline-like bases for a family of many knot spline spaces and their application to quasi-interpolation
Barrera, D. 1Eddargani, S. 1Lamnii, A.2
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作者信息
1. Univ Granada
2. Univ Hassan First
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Abstract
We define a family of univariate many knot spline spaces of arbitrary degree defined on an initial partition that is refined by adding a point in each sub-interval. For an arbitrary smoothness r, splines of degrees 2r and 2r + 1 are considered by imposing additional regularity when necessary. For an arbitrary degree, a B-spline-like basis is constructed by using the Bernstein-Bezier representation. Blossoming is then used to establish a Marsden's identity from which several quasi-interpolation operators having optimal approximation orders are defined. (C)& nbsp;2021 Elsevier B.V. All rights reserved.
NSTL
Elsevier