arXiv:2010.03355 Abstract | arXiv Analytics

arXiv:2010.03355 [math.NA]Abstract References Reviews Resources

Error bounds for interpolation with piecewise exponential splines of order two and four

Published 2020-10-07Version 1

Explicit pointwise error bounds for the interpolation of a smooth function by piecewise exponential splines of order four are given. Estimates known for cubic splines are extended to a natural class of piecewise exponential splines which are appearing in the construction of multivariate polysplines. The error estimates are derived in an inductive way using error estimates for the interpolation of a smooth function by exponential splines of order two.

Comments: 40 pages, 8 figures

Categories: math.NA, cs.NA

Subjects: 41A05, 41A15, 41A63, 65D07

Keywords: piecewise exponential splines, interpolation, error estimates, smooth function, explicit pointwise error bounds

Related articles: Most relevant | Search more

arXiv:0705.4368 [math.NA] (Published 2007-05-30)

Extending the range of error estimates for radial approximation in Euclidean space and on spheres

R. A. Brownlee, E. H. Georgoulis, J. Levesley

arXiv:2004.05299 [math.NA] (Published 2020-04-11)

Quantitative Stability and Error Estimates for Optimal Transport Plans

Wenbo Li, Ricardo H. Nochetto

arXiv:2002.10813 [math.NA] (Published 2020-02-25)