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Download e-book for kindle: Approximation by Max-Product Type Operators by Barnabás Bede,Lucian Coroianu,Sorin G. Gal

By Barnabás Bede,Lucian Coroianu,Sorin G. Gal

This monograph provides a extensive remedy of advancements in a space of confident approximation regarding the so-called "max-product" kind operators. The exposition highlights the max-product operators as these which permit one to acquire, in lots of instances, extra important estimates than these acquired by way of classical methods. The textual content considers a wide selection of operators that are studied for a couple of fascinating difficulties reminiscent of quantitative estimates, convergence, saturation effects, localization, to call several.

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

Researchers within the fields of approximation of features, sign thought, approximation of fuzzy numbers, photograph processing, and numerical research will locate this booklet most valuable. This ebook is additionally an excellent 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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