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Ordinary and Fractional Approximation by Non-additive Integrals: Choquet, Shilkret and Sugeno Integral Approximators
Language: en
Pages: 355
Authors: George A. Anastassiou
Categories: Technology & Engineering
Type: BOOK - Published: 2018-12-07 - Publisher: Springer

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Ordinary and fractional approximations by non-additive integrals, especially by integral approximators of Choquet, Silkret and Sugeno types, are a new trend in
Banach Space Valued Neural Network
Language: en
Pages: 429
Authors: George A. Anastassiou
Categories: Technology & Engineering
Type: BOOK - Published: 2022-10-01 - Publisher: Springer Nature

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This book is about the generalization and modernization of approximation by neural network operators. Functions under approximation and the neural networks are
Abstract Fractional Monotone Approximation, Theory and Applications
Language: en
Pages: 155
Authors: George A. Anastassiou
Categories: Technology & Engineering
Type: BOOK - Published: 2022-03-11 - Publisher: Springer Nature

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This book employs an abstract kernel fractional calculus with applications to Prabhakar and non-singular kernel fractional calculi. The results are univariate a
Fractional Inequalities In Banach Algebras
Language: en
Pages: 312
Authors: George A. Anastassiou
Categories: Technology & Engineering
Type: BOOK - Published: 2022-05-12 - Publisher: Springer Nature

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This book presents generalized Caputo fractional Ostrowski and GrĂ¼ss-type inequalities involving several Banach algebra valued functions. Furthermore, the auth
Parametrized, Deformed and General Neural Networks
Language: en
Pages: 854
Authors: George A. Anastassiou
Categories: Technology & Engineering
Type: BOOK - Published: 2023-09-29 - Publisher: Springer Nature

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In this book, we introduce the parametrized, deformed and general activation function of neural networks. The parametrized activation function kills much less n