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図書
図書
1. Taylor approximations for stochastic partial differential equations
Arnulf Jentzen, Peter E. Kloeden
出版情報: Philadelphia : Society for Industrial and Applied Mathematics, c2011  xiv, 220 p. ; 26 cm
シリーズ名: CBMS-NSF regional conference series in applied mathematics ; 83
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Preface
List of figures
Introduction / 1：
Random and Stochastic Ordinary Partial Differential Equations / Part I：
RODEs / 2：
SODEs / 3：
SODEs with nonstandard assumptions / 4：
Stochastic Partial Differential Equations / Part II：
SPDEs / 5：
Numerical methods for SPDEs / 6：
Taylor approximations for SPDEs with additive noise / 7：
Taylor approximations for SPDEs with multiplicative noise / 8：
Appendix: regularity estimates for SPDEs
Bibliography
Index
Preface
List of figures
Introduction / 1：
2.

図書
図書
2. Fuzzy mathematics : approximation theory
George A. Anastassiou
出版情報: Berlin : Springer, c2010  xii, 443 p. ; 25 cm
シリーズ名: Studies in fuzziness and soft computing ; 251
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Introduction / 1：
Basics / 1.1：
Background / 1.2：
Chapters description / 1.3：
About H-Fuzzy Differentiation / 2：
Basic Results / 2.1：
Main Results / 2.4：
On Fuzzy Taylor Formulae / 3：
Addendum / 3.1：
Fuzzy Ostrowski Inequalities / 4：
Results / 4.1：
A Fuzzy Trigonometric Approximation Theorem of Weierstrass-Type / 5：
Preliminaries / 5.1：
Main Result / 5.3：
General Remarks / 5.4：
On Best Approximation and Jackson-Type Estimates by Generalized Fuzzy Polynomials / 6：
Best approximation, trigonometric case / 6.1：
Best approximation, algebraic case / 6.3：
Application to fuzzy interpolation / 6.4：
Basic Fuzzy Korovkin Theory / 7：
Fuzzy Trigonometric Korovkin Theory / 7.1：
Fuzzy Global Smoothness Preservation / 8.1：
Fuzzy Korovkin Theory and Inequalities / 9.1：
Related Results / 10.1：
Higher Order Fuzzy Korovkin Theory Using Inequalities / 10.3：
Univariate Results / 11.1：
Multidimensional Results / 11.3：
Lp-estimates, p ≥ 1 / 11.4：
Applications / 11.5：
Fuzzy Wavelet Like Operators / 12：
Estimates To Distances between Fuzzy Wavelet like Operators / 12.1：
Fuzzy Approximation by Fuzzy Convolution Operators / 13.1：
Main results / 14.1：
Degree Of Approximation of Fuzzy Neural Network Operators, Univariate Case / 15：
Basic Properties / 15.1：
Higher Degree of Fuzzy Approximation by Fuzzy Wavelet Type and Neural Network Operators / 15.3：
Fuzzy Random Korovkin Theorems and In-Equalities / 16.1：
Auxilliary Material / 17.1：
Application / 17.3：
Fuzzy-Random Neural Network Approximation Operators, Univariate Case / 18：
Basic properties / 18.1：
X-Summability and Fuzzy Korovkin Approximation / 18.3：
A Fuzzy Korovkin Type Theorem / 19.1：
Rate of Convergence / 19.3：
A-Summability and Fuzzy Trigonometric Korovkin Approximation / 20：
Uniform Real and Fuzzy Estimates for Distances between Wavelet Type Operators at Real and Fuzzy Environment / 20.1：
Estimates for Distances of Real Wavelet type Operators / 21.1：
Estimates for Distances of Fuzzy Wavelet type Operators / 21.2：
References
List of Symbols
Index
Introduction / 1：
Basics / 1.1：
Background / 1.2：
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