Applications of optimally local interpolation to interpolatory approximants and compactly supported wavelets |
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| Authors: | Charles K. Chui Johan M. De Villiers. |
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| Affiliation: | Center for Approximation Theory, Department of Mathematics, Texas A&M University, College Station, Texas 77843 ; Department of Mathematics, University of Stellenbosch, 7600 Stellenbosch, South Africa |
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| Abstract: | The objective of this paper is to introduce a general scheme for the construction of interpolatory approximation formulas and compactly supported wavelets by using spline functions with arbitrary (nonuniform) knots. Both construction procedures are based on certain ``optimally local' interpolatory fundamental spline functions which are not required to possess any approximation property. |
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