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1.

図書

図書
Vladimir V. Andrievskii, Hans-Peter Blatt
出版情報: New York : Springer, c2002  xiii, 438 p. ; 25 cm
シリーズ名: Springer monographs in mathematics
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2.

図書

図書
Frank Deutsch
出版情報: New York : Springer, c2001  xv, 338 p. ; 25 cm
シリーズ名: CMS books in mathematics ; 7
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目次情報: 続きを見る
Inner Product Spaces
Best Approximation
Existence and Uniqueness of Best Approximations
Characterization of Best Approximations
The Metric Projection
Bounded Linear Functionals and Best Approximation from Hyperplanes and Half-spaces
Error of Approximation
Generalized Solutions of Linear Equations
The Method of Alternating Projections
Constrained Interpolation from a Convex Set
Interpolation and Approximation
Convexity of Chebyshev Sets
Inner Product Spaces
Best Approximation
Existence and Uniqueness of Best Approximations
3.

図書

図書
Yann Bugeaud
出版情報: Cambridge [England] : Cambridge University Press, 2004  xv, 274 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 160
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Preface; Frequently used notation
Approximation by rational numbers / 1:
Approximation to algebraic numbers / 2:
The classifications of Mahler and Koksma / 3:
Mahler's conjecture on S-numbers / 4:
Hausdorff dimension of exceptional sets / 5:
Deeper results on the measure of exceptional sets / 6:
On T-numbers and U-numbers / 7:
Other classifications of real and complex numbers / 8:
Approximation in other fields / 9:
Conjectures and open questions / 10:
Lemmas on polynomials / Appendix A:
Geometry of numbers / Appendix B:
Bibliography
Index
Preface; Frequently used notation
Approximation by rational numbers / 1:
Approximation to algebraic numbers / 2:
4.

図書

図書
Detlef H. Mache, József Szabados, Marcel G. de Bruin, editors
出版情報: Basel : Birkhäuser, c2005  xv, 281 p. ; 24 cm
シリーズ名: International series of numerical mathematics ; v. 151
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Preface
List of Participants
Scientific Program
Best Poisson Approximation of Posisson Mixtures. A Linear Operator Approach / Jose Antonio Adell ; Alberto Lekuona
On Some Classes of Diffusion Equations and Related Approximation Problems / Francesco Altomare ; Ioan Rasa
Recent Developments in Barycentric Rational Interpolation / Jean-Paul Berrut ; Richard Baltensperger ; Hans D. Mittelmann
Approximation on Simplices and Orthogonal Polynomials / Dietrich Braess
(0, 2) Pal-type Interpolation: A General Method for Regularity / Marcel G. de Bruin ; Detlef H. Mache
Sufficient Convergence Conditions for Certain Accelerated Successive Approximations / Emil Catinas
The Combined Shepard-Lidstone Bivariate Operator / Teodora Catinas
Local RBF Approximation for Scattered Data Fitting with Bivariate Splines / Oleg Davydov ; Alessandra Sestini ; Rossana Morandi
Evolutionary Optimization of Neural Systems: The Use of Strategy Adaptation / Christian Igel ; Stefan Wiegand ; Frauke Friedrichs
Finding Relevant Input Arguments with Radial Basis Function Networks / Jennifer Meyer
Subdivision Schemes and Non Nested Grids / Marie-Laurence Mazure
A Markov-Bernstein Inequality for Gaussian Networks / Hrushikesh N. Mhaskar
TS Control - The Link between Fuzzy Control and Classical Control Theory / Kai Michels
Polynomial Bases for Continuous Function Spaces / Josef Obermaier ; Ryszard Szwarc
Novel Simulation Approaches for Cyclic Steady-state Fixed-bed Processes Exhibiting Sharp Fronts and Shocks / Frank Platte ; Dmitri Kuzmin ; Christoph Fredebeul ; Stefan Turek
Semigroups Associated to Mache Operators (II)
Recent Progress on Univariate and Multivariate Polynomial and Spline Quasi-interpolants / Paul Sablonniere
A Strong Converse Result for Approximation by Weighted Bernstein Polynomials on the Real Line / Jozsef Szabados
Rprop Using the Natural Gradient / Marc Toussaint ; Wan Weishui
Some Properties of Quasi-orthogonal and Para-orthogonal Polynomials. A Survey / Biancamaria Della Vecchia ; Giuseppe Mastroianni ; Peter Vertesi
Preface
List of Participants
Scientific Program
5.

図書

図書
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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目次情報: 続きを見る
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:
6.

図書

図書
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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目次情報: 続きを見る
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:
7.

図書

図書
George A. Anastassiou, Sorin G. Gal
出版情報: Boston : Birkhäuser, c2000  xi, 525 p.
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目次情報:
see attached for complete TOC
see attached for complete TOC
8.

図書

図書
Ernst W. Mayr, Hans Jürgen Prömel, Angelika Steger (eds.)
出版情報: Berlin ; Tokyo : Springer, c1998  xii, 344 p. ; 24 cm
シリーズ名: Lecture notes in computer science ; 1367
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This textbook-like tutorial is a coherent
And essentially self-contained presentation of the enormous
Recent progress facilitated by the interplay
Between the theory of probabistically checkable
Proofs and aproximation algorithms
The basic concepts, methods, and results are presented
In a unified way to provide a smooth introduction for newcomers
These lectures are particularly useful for advanced
Courses or reading groups on the topic
This textbook-like tutorial is a coherent
And essentially self-contained presentation of the enormous
Recent progress facilitated by the interplay
9.

図書

図書
В.В. Иванов
出版情報: Киев : Изд-во "Наукова думка", 1968  286 p. ; 23 cm
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10.

図書

図書
edited by Werner Hauβmann, Kurt Jetter, Manfred Reimer
出版情報: Berlin : Wiley-VCH, c1999  334 p. ; 25 cm
シリーズ名: Mathematical research ; v. 107
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