Construction of optimally conditioned cubic spline wavelets on the interval
✍ Scribed by Dana Černá; Václav Finěk
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 852 KB
- Volume
- 34
- Category
- Article
- ISSN
- 1019-7168
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In this paper we derive necessary optimality conditions for an interpolating spline function which minimizes the Holladay approximation of the energy functional and which stays monotone if the given interpolation data are monotone. To this end optimal control theory for state-restricted optimal cont
This paper is concerned with the construction of biorthogonal multiresolution analyses on [0, 1] such that the corresponding wavelets realize any desired order of moment conditions throughout the interval. Our starting point is the family of biorthogonal pairs consisting of cardinal B-splines and co