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 large remedy 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 enable one to acquire, in lots of situations, extra worthy estimates than these got by way of classical techniques. The textual content considers a large choice of operators that are studied for a couple of fascinating difficulties resembling quantitative estimates, convergence, saturation effects, localization, to call several.

Additionally, the booklet discusses the right analogies among the probabilistic methods 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 let for 2 average interpretations of the max-product Bernstein variety operators and convolution sort operators: to begin with, as possibilistic expectancies of a few fuzzy variables, and secondly, as bases for the Feller kind scheme when it comes to the possibilistic vital. those methods additionally supply new proofs for the uniform convergence in line with a Chebyshev kind inequality within the thought of possibility.

Researchers within the fields of approximation of services, sign idea, approximation of fuzzy numbers, snapshot processing, and numerical research will locate this booklet most dear. This e-book is additionally an excellent reference for graduates and postgraduates taking classes in approximation theory.

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