Quasi‐interpolation by splines on the uniform knot sets
Abstract
In the case of uniform grids, the error of the spline interpolant of a function defined on R has been well estimated. On the basis of the spline interpolation formula for functions defined on R we derive quasi‐interpolation formulae for functions defined on R or in a vicinity of a bounded interval, say [0,1], and we estimate the difference between the interpolant and the quasi‐interpolants.
First Published Online: 14 Oct 2010
Keywords:
splines, interpolation, quasi‐interpolation, weakly singular integral equationsHow to Cite
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Copyright (c) 2007 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2007 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.