Approximation Theory, Wavelets and Applications, S.P. Singh

Автор: Wolfgang H?rdle; Gerard Kerkyacharian; Dominique P
Название: Wavelets, Approximation, and Statistical Applications
ISBN: 0387984534 ISBN-13(EAN): 9780387984537
Издательство: Springer
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Цена: 16769.00 р.
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Описание: The mathematical theory of ondelettes (wavelets) was developed by Yves Meyer and many collaborators about 10 years ago. Five years ago wavelet theory progressively appeared to be a power- ful framework for nonparametric statistical problems.

Автор: George A. Anastassiou
Название: Fuzzy Mathematics: Approximation Theory
ISBN: 3642112196 ISBN-13(EAN): 9783642112195
Издательство: Springer
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Описание: The theory presented in this book is destined and expected to find applications to all aspects of fuzziness from theoretical to practical in almost all sciences, technology, finance and industry, as well as within pure mathematics.

Автор: George A. Anastassiou; Oktay Duman
Название: Towards Intelligent Modeling: Statistical Approximation Theory
ISBN: 364226817X ISBN-13(EAN): 9783642268175
Издательство: Springer
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Описание: Statistical convergence has been explored in numerous contexts such as fuzzy logic theory. Here, the authors approach the subject by approximating a function by linear operators, focusing on situations in which the classical limit is not effective.

Автор: Vijay Gupta; Ravi P. Agarwal
Название: Convergence Estimates in Approximation Theory
ISBN: 3319027646 ISBN-13(EAN): 9783319027647
Издательство: Springer
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Описание: This book offers advanced graduates and researchers a trove of key results in the study of convergence, in both real and complex domains. It explores new and more efficient applications developed by the authors for studies of optimization and analysis.

Автор: George A. Anastassiou; Sorin G. Gal
Название: Approximation Theory
ISBN: 1461271126 ISBN-13(EAN): 9781461271123
Издательство: Springer
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Описание: We study in Part I of this monograph the computational aspect of almost all moduli of continuity over wide classes of functions exploiting some of their convexity properties. To our knowledge it is the first time the entire calculus of moduli of smoothness has been included in a book. We then present numerous applications of Approximation Theory, giving exact val- ues of errors in explicit forms. The K-functional method is systematically avoided since it produces nonexplicit constants. All other related books so far have allocated very little space to the computational aspect of moduli of smoothness. In Part II, we study/examine the Global Smoothness Preservation Prop- erty (GSPP) for almost all known linear approximation operators of ap- proximation theory including: trigonometric operators and algebraic in- terpolation operators of Lagrange, Hermite-Fejer and Shepard type, also operators of stochastic type, convolution type, wavelet type integral opera- tors and singular integral operators, etc. We present also a sufficient general theory for GSPP to hold true. We provide a great variety of applications of GSPP to Approximation Theory and many other fields of mathemat- ics such as Functional analysis, and outside of mathematics, fields such as computer-aided geometric design (CAGD). Most of the time GSPP meth- ods are optimal. Various moduli of smoothness are intensively involved in Part II. Therefore, methods from Part I can be used to calculate exactly the error of global smoothness preservation. It is the first time in the literature that a book has studied GSPP.