Buch, Englisch, 525 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 2060 g
Moduli of Continuity and Global Smoothness Preservation
Buch, Englisch, 525 Seiten, HC runder Rücken kaschiert, Format (B × H): 160 mm x 241 mm, Gewicht: 2060 g
ISBN: 978-0-8176-4151-1
Verlag: Birkhäuser Boston
"Going over the introduction, the reader will get an almost full account, without proofs, of the results presented in the monograph... There are many questions for further research arising from this interesting book. Some of them are formulated by the authors, but many more may be born in the mind of the reader.” ---Zentralblatt
This monograph, in two parts, is an intensive and comprehensive study of the computational aspects of the moduli of smoothness and the Global Smoothness Preservation Property (GSPP).
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionentheorie, Komplexe Analysis
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
- Mathematik | Informatik Mathematik Mathematische Analysis Elementare Analysis und Allgemeine Begriffe
Weitere Infos & Material
1 Introduction.- 1.1 On Chapter 2: Uniform Moduli of Smoothness.- 1.2 On Chapter 3: LP-Moduli of Smoothness, 1 ?pTrigonometric Operators.- 6 Global Smoothness Preservation by Algebraic Interpolation Operators.- 7 Global Smoothness Preservation by General Operators.- 8 Global Smoothness Preservation by Multivariate Operators.- 9 Stochastic Global Smoothness Preservation.- 10 Shift Invariant Univariate Integral Operators.- 11 Shift Invariant Multivariate Integral Operators.- 12 Differentiated Shift Invariant Univariate Integral Operators.- 13 Differentiated Shift Invariant Multivariate Integral Operators.- 14 Generalized Shift Invariant Univariate Integral Operators.- 15 Generalized Shift Invariant Multivariate Integral Operators.- 16 General Theory of Global Smoothness Preservation by Univariate Singular Operators.- 17 General Theory of Global Smoothness Preservation by Multivariate Singular Operators.- 18 Gonska Progress in Global Smoothness Preservation.- 19 Miscellaneous Progress in Global Smoothness Preservation.- 20 Other Applications of the Global Smoothness Preservation Property.- References.- List of Symbols.
