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In this monograph we present the complete recent work of the last four years of the author in approximation by neural networks. It is the natural outgrowth of his related publications. Chapters are self-contained and can be read independently and several advanced courses can be taught out of this book.
The book’s results are expected to find applications in many areas of applied mathematics, computer science and engineering. As such this monograph is suitable for researchers, graduate students, and seminars of the above subjects, also to be in all science and engineering libraries.
Rate of Convergence of Basic Neural Network Operators to the Unit-Univariate Case
Rate of Convergence of Basic Multivariate Neural Network Operators to the Unit
Fractional Neural Network Operators Approximation
Fractional Approximation Using Cardaliaguet-Euvrard and Squashing Neural Networks
Fractional Voronovskaya Type Asymptotic Expansions for Quasi-interpolation Neural Networks
Voronovskaya Type Asymptotic Expansions for Multivariate Quasi-interpolation Neural Networks
Fractional Approximation by Normalized Bell and Squashing Type Neural Networks
Fractional Voronovskaya Type Asymptotic Expansions for Bell and Squashing Type Neural Networks
Multivariate Voronovskaya Type Asymptotic Expansions for Normalized Bell and Squashing Type Neural Networks
Multivariate Fuzzy-Random Normalized Neural Network Approximation
Fuzzy Fractional Approximations by Fuzzy Normalized Bell and Squashing Type Neural Networks
Fuzzy Fractional Neural Network Approximation Using Fuzzy Quasi-interpolation Operators
Higher Order Multivariate Fuzzy Approximation Using Basic Neural Network Operators
High Order Multivariate Fuzzy Approximation Using Quasi-interpolation Neural Networks
Multivariate Fuzzy-Random Quasi-interpolation Neural Networks Approximation
Approximation by Kantorovich and Quadrature Type Quasi-interpolation Neural Networks
Univariate Error Function Based Neural Network Approximations
Multivariate Error Function Based Neural Network Operators Approximation
Voronovskaya Type Asymptotic Expansions for Error Function Based Quasi-interpolation Neural Networks
Fuzzy Fractional Error Function Relied Neural Network Approximations
High Degree Multivariate Fuzzy Approximation by Neural Network Operators Using the Error Function
Multivariate Fuzzy-Random Error Function Relied Neural Network Approximations
Approximation by Perturbed Neural Networks
Approximations by Multivariate Perturbed Neural Networks
Voronovskaya Type Asymptotic Expansions for Perturbed Neural Networks
Approximation Using Fuzzy Perturbed Neural Networks
Multivariate Fuzzy Perturbed Neural Network Approximations
Multivariate Fuzzy-Random Perturbed Neural Network Approximations