Approximation by Max-Product Type Operators - download pdf or read online

By Barnabás Bede,Lucian Coroianu,Sorin G. Gal

ISBN-10: 331934188X

ISBN-13: 9783319341880

This monograph offers a wide therapy of advancements in a space of optimistic approximation regarding the so-called "max-product" kind operators. The exposition highlights the max-product operators as these which enable one to acquire, in lots of situations, extra priceless estimates than these received by way of classical ways. The textual content considers a large choice of operators that are studied for a few attention-grabbing difficulties comparable to quantitative estimates, convergence, saturation effects, localization, to call several.

Additionally, the publication discusses the proper analogies among the probabilistic techniques of the classical Bernstein sort operators and of the classical convolution operators (non-periodic and periodic cases), and the possibilistic ways of the max-product editions of those operators. those ways enable for 2 common interpretations of the max-product Bernstein sort operators and convolution style operators: to begin with, as possibilistic expectancies of a few fuzzy variables, and secondly, as bases for the Feller sort scheme when it comes to the possibilistic necessary. those ways additionally provide new proofs for the uniform convergence in accordance with a Chebyshev style inequality within the idea of possibility.

Researchers within the fields of approximation of features, sign concept, approximation of fuzzy numbers, snapshot processing, and numerical research will locate this publication Most worthy. This booklet is additionally an outstanding reference for graduates and postgraduates taking classes in approximation theory.

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

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