Approximation by Max-Product Type Operators (PDF)

Name: Approximation by Max-Product Type Operators
Brand: Springer-Verlag GmbH
SKU: 80731037
Price: 96.29 EUR
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(Sprache: Englisch)

Autoren: Barnabás Bede , Lucian Coroianu , Sorin G. Gal

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Approximation by Max-Product Type Operators, Barnabás Bede, Lucian Coroianu, Sorin G. Gal

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This monograph presents a broad treatment of developments in an area of constructive approximation involving the so-called "max-product" type operators. The exposition highlights the max-product operators as those which allow one to obtain, in many cases, more valuable estimates than those obtained by classical approaches. The text considers a wide variety of operators which are studied for a number of interesting problems such as quantitative estimates, convergence, saturation results, localization, to name several.

Additionally, the book discusses the perfect analogies between the probabilistic approaches of the classical Bernstein type operators and of the classical convolution operators (non-periodic and periodic cases), and the possibilistic approaches of the max-product variants of these operators. These approaches allow for two natural interpretations of the max-product Bernstein type operators and convolution type operators: firstly, as possibilistic expectationsof some fuzzy variables, and secondly, as bases for the Feller type scheme in terms of the possibilistic integral. These approaches also offer new proofs for the uniform convergence based on a Chebyshev type inequality in the theory of possibility.

Researchers in the fields of approximation of functions, signal theory, approximation of fuzzy numbers, image processing, and numerical analysis will find this book most beneficial. This book is also a good reference for graduates and postgraduates taking courses in approximation theory.

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Bibliographische Angaben

Autoren: Barnabás Bede , Lucian Coroianu , Sorin G. Gal
2016, 1st ed. 2016, 458 Seiten, Englisch
Verlag: Springer-Verlag GmbH
ISBN-10: 3319341898
ISBN-13: 9783319341897
Erscheinungsdatum: 08.08.2016

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Größe: 5.02 MB
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Englisch

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“It is very well written and organized, with clear and simple proofs together with some new mathematical techniques. Therefore it can be recommended as a textbook for graduate students and postgraduate researchers as well as a reference book for researchers and professionals working not only in approximation theory, mathematical analysis, and numerical analysis, but also in signal theory, image processing, sampling theory, and engineering.” (Harun Karsli, Mathematical Reviews, 2018)

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