George A. Anastassiou
                        
                                        
                        
    
    
            
            
            
                                                                
    
                    
                
                    
    
    
                
    
                    
            
                
            
            
                                                    
    
                    
                
                    
    
    
                
    
                    
            
                
            
            
                                                    
    
                    
                
                    
    
    
                
    
                    
            
                
            
            
                                                    
    
                    
                
                    
    
    
                
    
                    
            
                
            
            
                                                    
    
                    
                
                    
    
    
                
    
                    
            
                
            
            
                                    
            
        
                                                
                Generalized Fractional Calculus
New Advancements and Applications
Ebook (PDF Format)
            This book deals with the quantitative fractional Korovkin type approximation of stochastic processes. Computational and fractional analysis play more and more a central role in nowadays either by themselves or because they cover a great variety of applications in the real world. The author applies generalized fractional differentiation techniques of Caputo, Canavati and Conformable types to a great variety of integral inequalities, e.g. of Ostrowski and Opial types, etc. Some of these are extended to Banach space valued functions. These inequalities have also great impact on numerical analysis, stochastics and fractional differential equation…
        
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                                    Beschreibung
                        This book deals with the quantitative fractional Korovkin type approximation of stochastic processes. Computational and fractional analysis play more and more a central role in nowadays either by themselves or because they cover a great variety of applications in the real world. The author applies generalized fractional differentiation techniques of Caputo, Canavati and Conformable types to a great variety of integral inequalities, e.g. of Ostrowski and Opial types, etc. Some of these are extended to Banach space valued functions. These inequalities have also great impact on numerical analysis, stochastics and fractional differential equations. The author continues with generalized fractional approximations by positive sublinear operators which derive from the presented Korovkin type inequalities, and the author include also abstract cases. The author present also multivariate complex Korovkin quantitative approximation theory. It follows M-fractional integral inequalities of Ostrowski and Polya types. The author's results are weighted so they provide a great variety of cases and applications. The author lays there the foundations of stochastic fractional calculus. The author considers both Caputo and Conformable fractional directions, and the author derives regular and trigonometric results. Our positive linear operators can be expectation operator commutative or not. This book results are expected to find applications in many areas of pure and applied mathematics and stochastics. As such this book is suitable for researchers, graduate students and seminars of the above disciplines, also to be in all science and engineering libraries.
                    
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Produktdetails
- ISBN: 978-3-030-56962-4
 - EAN: 9783030569624
 - Produktnummer: 35365418
 - Verlag: Springer
 - Sprache: Englisch
 - Erscheinungsjahr: 2020
 - Plattform: PDF
 - Masse: 5'319 KB
 
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