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Abstract Fractional Monotone Approximation, Theory and Applications (Studies in Systems, Decision and Control, 411, Band 411) - Hardcover

Buch 370 von 378: Studies in Systems, Decision and Control

Anastassiou, George A.

 
9783030959425: Abstract Fractional Monotone Approximation, Theory and Applications (Studies in Systems, Decision and Control, 411, Band 411)
Hardcover
ISBN 10: 3030959422 ISBN 13: 9783030959425
Verlag: Springer, 2022

Inhaltsangabe

This book employs an abstract kernel fractional calculus with applications to Prabhakar and non-singular kernel fractional calculi. The results are univariate and bivariate. In the univariate case, abstract fractional monotone approximation by polynomials and splines is presented. In the bivariate case, the abstract fractional monotone constrained approximation by bivariate pseudo-polynomials and polynomials is given. This book’s results are expected to find applications in many areas of pure and applied mathematics, especially in fractional approximation and fractional differential equations. Other interesting applications are applied in sciences like geophysics, physics, chemistry, economics, and engineering. This book is appropriate for researchers, graduate students, practitioners, and seminars of the above disciplines.

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Über die Autorin bzw. den Autor

George Anastassiou is Professor at the University of Memphis. Research interests include Computational analysis, approximation theory, probability, theory of moments. Professor Anastassiou has authored and edited several publications with Springer including "Fractional Differentiation Inequalities" (c) 2009, "Fuzzy Mathematics: Approximation Theory" (c) 2010, "Intelligent Systems: Approximation by Artificial Neural Networks" (c) 2014, "The History of Approximation Theory" (c) 2005, "Modern Differential Geometry in Gauge Theories" (c) 2006, and more. Razvan Alex Mezei received his PhD from the University of Memphis and currently holds an assistant professorship and Lenoir-Rhyne University, Hickory, North Carolina. He teaches mathematics as well as computer science/IT courses to undergraduates and is a computing sciences program coordinator. Mezei has extensive experience in computer programming and software development and has written several publications with George Anastassiou.

Von der hinteren Coverseite

This book employs an abstract kernel fractional calculus with applications to Prabhakar and non-singular kernel fractional calculi. The results are univariate and bivariate. In the univariate case, abstract fractional monotone approximation by polynomials and splines is presented. In the bivariate case, the abstract fractional monotone constrained approximation by bivariate pseudo-polynomials and polynomials is given. This book’s results are expected to find applications in many areas of pure and applied mathematics, especially in fractional approximation and fractional differential equations. Other interesting applications are applied in sciences like geophysics, physics, chemistry, economics, and engineering. This book is appropriate for researchers, graduate students, practitioners, and seminars of the above disciplines.

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Verlag
Springer
Erscheinungsdatum
2022
Sprache
Englisch
ISBN 10 
3030959422
ISBN 13 
9783030959425
Einband
Gebundene Ausgabe
Auflage
1
Anzahl der Seiten
157
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Deutschland

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9783030959456: Abstract Fractional Monotone Approximation, Theory and Applications (Studies in Systems, Decision and Control, Band 411)

Vorgestellte Ausgabe

ISBN 10:  3030959457 ISBN 13:  9783030959456
Verlag: Springer, 2023
Softcover