Fuzzy Mathematics: Approximation Theory

This monograph belongs to the broader area of Fuzzy Mathematics and it is the first one in Fuzzy Approximation Theory. The chapters are self-contained with lots of applications to teach several advanced courses and the topics covered are very diverse. An extensive background of Fuzziness and Fuzzy R...

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Bibliographic Details
Main Author: Anastassiou, George A.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2010, 2010
Edition:1st ed. 2010
Series:Studies in Fuzziness and Soft Computing
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Table of Contents:
  • ABOUT H-FUZZY DIFFERENTIATION
  • ON FUZZY TAYLOR FORMULAE
  • FUZZY OSTROWSKI INEQUALITIES
  • A FUZZY TRIGONOMETRIC APPROXIMATION THEOREM OF WEIERSTRASS-TYPE
  • ON BEST APPROXIMATION AND JACKSON-TYPE ESTIMATES BY GENERALIZED FUZZY POLYNOMIALS
  • BASIC FUZZY KOROVKIN THEORY
  • FUZZY TRIGONOMETRIC KOROVKIN THEORY
  • FUZZY GLOBAL SMOOTHNESS PRESERVATION
  • FUZZY KOROVKIN THEORY AND INEQUALITIES
  • HIGHER ORDER FUZZY KOROVKIN THEORY USING INEQUALITIES
  • FUZZY WAVELET LIKE OPERATORS
  • ESTIMATES TO DISTANCES BETWEEN FUZZY WAVELET LIKE OPERATORS
  • FUZZY APPROXIMATION BY FUZZY CONVOLUTION OPERATORS
  • DEGREE OF APPROXIMATION OF FUZZY NEURAL NETWORK OPERATORS, UNIVARIATE CASE
  • HIGHER DEGREE OF FUZZY APPROXIMATION BY FUZZY WAVELET TYPE AND NEURAL NETWORK OPERATORS
  • FUZZY RANDOM KOROVKIN THEOREMS AND INEQUALITIES
  • FUZZY-RANDOM NEURAL NETWORK APPROXIMATION OPERATORS, UNIVARIATE CASE
  • -SUMMABILITY AND FUZZY KOROVKIN APPROXIMATION
  • -SUMMABILITY AND FUZZY TRIGONOMETRIC KOROVKIN APPROXIMATION
  • UNIFORM REAL AND FUZZY ESTIMATES FOR DISTANCES BETWEEN WAVELET TYPE OPERATORS AT REAL AND FUZZY ENVIRONMENT.