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

By Barnabás Bede,Lucian Coroianu,Sorin G. Gal

This monograph offers a extensive therapy of advancements in a space of confident approximation concerning the so-called "max-product" kind operators. The exposition highlights the max-product operators as these which permit one to procure, in lots of instances, extra important estimates than these got via classical methods. The textual content considers a large choice of operators that are studied for a couple of fascinating difficulties similar to quantitative estimates, convergence, saturation effects, localization, to call several.

Additionally, the ebook discusses the appropriate 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 techniques of the max-product editions of those operators. those ways permit for 2 typical interpretations of the max-product Bernstein sort operators and convolution variety operators: to begin with, as possibilistic expectancies of a few fuzzy variables, and secondly, as bases for the Feller kind scheme by way of the possibilistic essential. those ways additionally provide new proofs for the uniform convergence in response to a Chebyshev kind inequality within the conception of possibility.

Researchers within the fields of approximation of features, sign concept, approximation of fuzzy numbers, photo processing, and numerical research will locate this publication most respected. This ebook is additionally an excellent reference for graduates and postgraduates taking classes in approximation theory.

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