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＜電子ブック＞
Variational Theory of Splines / by Anatoly Yu. Bezhaev, Vladimir A. Vasilenko

版	1st ed. 2001.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	2001
大きさ	XVIII, 280 p : online resource
著者標目	*Bezhaev, Anatoly Yu author Vasilenko, Vladimir A author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Functional analysis LCSH:Numerical analysis LCSH:Approximation theory LCSH:Mathematical optimization LCSH:Calculus of variations FREE:Analysis FREE:Functional Analysis FREE:Numerical Analysis FREE:Approximations and Expansions FREE:Calculus of Variations and Optimization
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-1-4757-3428-7

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