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Towards Intelligent Modeling: Statistical Approximation Theory

The main idea of statistical convergence is to demand convergence only for a majority of elements of a sequence. This method of convergence has been investigated in many fundamental areas of mathematics such as: measure theory, approximation theory, fuzzy logic theory, summability theory, and so on....

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Anastassiou, George A. (Autor), Duman, Oktay (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:Intelligent Systems Reference Library, 14
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  •  Introduction
  • Statistical Approximation by Bivariate Picard Singular Integral Operators
  • Uniform Approximation in Statistical Sense by Bivariate Gauss-Weierstrass Singular Integral Operators
  • Statistical Lp-Convergence of Bivariate Smooth Picard Singular Integral Operators
  • Statistical Lp-Approximation by Bivariate Gauss-Weierstrass Singular Integral Operators
  • A Baskakov-Type Generalization of Statistical Approximation Theory
  • Weighted Approximation in Statistical Sense to Derivatives of Functions
  • Statistical Approximation to Periodic Functions by a General Family of Linear Operators
  • Relaxing the Positivity Condition of Linear Operators in Statistical Korovkin Theory
  • Statistical Approximation Theory for Stochastic Processes
  • Statistical Approximation Theory for Multivariate Stochas tic Processes.