Зарегистрироваться
Восстановить пароль
FAQ по входу

Bede B., Coroianu L., Gal S.G. Approximation by Max-Product Type Operators

  • Файл формата pdf
  • размером 4,92 МБ
  • Добавлен пользователем
  • Отредактирован
Bede B., Coroianu L., Gal S.G. Approximation by Max-Product Type Operators
Springer International Publishing, Switzerland, 2016. — 468 p. — ISBN-10: 331934188X
Presents a broad treatment of so-called "max-product" type operators
Discusses the analogy between the probabilistic and possibilistic approaches of the classical Bernstein type operators
Considers a wide variety of operators which are studied for a number of interesting problems
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 expectations of 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.
Contents
Introduction and Preliminaries
Approximation by Max-Product Bernstein Operators
Approximation by Max-Product Favard–Szász–Mirakjan Operators
Approximation by Max-Product Baskakov Operators
Approximation by Max-Product Bleimann–Butzer–Hahn Operators
Approximation by Max-Product Meyer–König and Zeller Operators
Approximation by Max-Product Interpolation Operators
Approximations by Max-Product Sampling Operators
Global Smoothness Preservation Properties
Possibilistic Approaches of the Max-Product Type Operators
Max-Product Weierstrass Type Functions
  • Чтобы скачать этот файл зарегистрируйтесь и/или войдите на сайт используя форму сверху.
  • Регистрация