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AuthorBezhaev, Anatoly Yu. author
TitleVariational Theory of Splines [electronic resource] / by Anatoly Yu. Bezhaev, Vladimir A. Vasilenko
ImprintBoston, MA : Springer US : Imprint: Springer, 2001
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Descript XVIII, 280 p. online resource


1. Splines in Hilbert Spaces -- 2. Reproducing Mappings and Characterization of Splines -- 3. General Convergence Techniques and Error Estimates for Interpolating Splines -- 4. Splines in Subspaces -- 5. Interpolating DM-Splines -- 6. Splines on Manifolds -- 7. Vector Splines -- 8. Tensor and Blending Splines -- 9. Optimal Approximation of Linear Operators -- 10. Classification of Spline Objects -- 11. ??-Approximations and Data Compression -- 12. Algorithms for Optimal Smoothing Parameter -- Appendices -- Theorems from Functional Analysis Used in This Book -- A.1 Convergence in Hilbert Space -- A.2 Theorems on Linear Operators -- A.3 Sobolev Spaces in Domain -- On Software Investigations in Splines -- B.1 One-Dimensional Case -- B.2 Multi-Dimensional Case

Mathematics Numerical analysis Mathematical analysis Analysis (Mathematics) Approximation theory Functional analysis Calculus of variations Mathematics Analysis Functional Analysis Numeric Computing Approximations and Expansions Calculus of Variations and Optimal Control; Optimization


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