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Intelligent Comparisons: Analytic Inequalities
This monograph presents recent and original work of the author on inequalities in real, functional and fractional analysis. The chapters are selfcontained and can be read independently, they include an extensive list of references per chapter. The book's results are expected to find applications ... More
Language: ENGCopyright: 2016 
Intelligent Systems II: Complete Approximation by Neural Network Operators
This monograph is the continuation and completion of the monograph, "Intelligent Systems: Approximation by Artificial Neural Networks" written by the same author and published 2011 by Springer. The book you hold in hand presents the complete recent and original work of the author in approximation b... More
Language: ENGCopyright: 2016 
Intelligent Comparisons II: Operator Inequalities and Approximations
This compact book focuses on selfadjoint operators' wellknown named inequalities and Korovkin approximation theory, both in a Hilbert space environment. It is the first book to study these aspects, and all chapters are selfcontained and can be read independently. Further, each chapter includes ... More
Language: ENGCopyright: 2017 
Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations
This brief book presents the strong fractional analysis of Banach space valued functions of a real domain. The book's results are abstract in nature: analytic inequalities, Korovkin approximation of functions and neural network approximation. The chapters are selfcontained and can be read indepen... More
Language: ENGCopyright: 2018 
Nonlinearity: Ordinary and Fractional Approximations by Sublinear and MaxProduct Operators (Studies In Systems, Decision And Control #147)
This book focuses on approximations under the presence of ordinary and fractional smoothness, presenting both the univariate and multivariate cases. It also explores approximations under convexity and a new trend in approximation theory –approximation by sublinear operators with applications to max... More
Language: ENGCopyright: 2018 
Approximation by Multivariate Singular Integrals (SpringerBriefs in Mathematics)
Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identityunit operator. The basic approximation properties of the general multivariate singular integral operators is presented quantitatively, particular... More
Language: ENGCopyright: 2011 
Ordinary and Fractional Approximation by Nonadditive Integrals: Choquet, Shilkret and Sugeno Integral Approximators (Studies in Systems, Decision and Control #190)
Ordinary and fractional approximations by nonadditive integrals, especially by integral approximators of Choquet, Silkret and Sugeno types, are a new trend in approximation theory. These integrals are only subadditive and only the first two are positive linear, and they produce very fast and flexib... More
Language: ENGCopyright: 2019 
Intelligent Analysis: Fractional Inequalities and Approximations Expanded (Studies in Computational Intelligence #886)
This book focuses on computational and fractional analysis, two areas that are very important in their own right, and which are used in a broad variety of realworld applications. We start with the important Iyengar type inequalities and we continue with Choquet integral analytical inequalities, whi... More
Language: ENGCopyright: 2020 
Generalized Fractional Calculus: New Advancements and Applications (Studies in Systems, Decision and Control #305)
This book 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 in ... More
Language: ENGCopyright: 2021 
Constructive Fractional Analysis with Applications (Studies in Systems, Decision and Control #362)
This book includes constructive approximation theory; it presents ordinary and fractional approximations by positive sublinear operators, and high order approximation by multivariate generalized Picard, Gauss–Weierstrass, Poisson–Cauchy and trigonometric singular integrals. Constructive and Computat... More
Language: ENGCopyright: 2021 
Unification of Fractional Calculi with Applications (Studies in Systems, Decision and Control #398)
This book demonstrates the unifying methods of generalized versions of Hilfer, Prabhakar and Hilfer–Prabhakar fractional calculi, and we establish related unifying fractional integral inequalities of the following types: Iyengar, Landau, Polya, Ostrowski, Hilbert–Pachpatte, Hardy, Opial, Csiszar’s f... More
Language: ENGCopyright: 2022 
Abstract Fractional Monotone Approximation, Theory and Applications (Studies in Systems, Decision and Control #411)
This book employs an abstract kernel fractional calculus with applications to Prabhakar and nonsingular 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 c... More
Language: ENGCopyright: 2022 
Fractional Inequalities In Banach Algebras (Studies in Systems, Decision and Control #441)
This book presents generalized Caputo fractional Ostrowski and Grüsstype inequalities involving several Banach algebra valued functions. Furthermore, the author gives generalized Canavati fractional Ostrowski, Opial, Grüss, and HilbertPachpattetype inequalities for multiple Banach algebra valued ... More
Language: ENGCopyright: 2022 
Intelligent Mathematics II: Applied Mathematics and Approximation Theory
This specialvolume is a collection of outstanding more applied articles presented in AMAT2015 held in Ankara, May 2831, 2015, at TOBB Economics and TechnologyUniversity. The collectionis suitable for Applied and Computational Mathematics and Engineeringpractitioners, also for related graduate stud... More
Language: ENGCopyright: 2016 
Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 (Springer Proceedings in Mathematics & Statistics #41)
Advances in Applied Mathematics and Approximation Theory: Contributions from AMAT 2012 is a collection of the best articles presented at "Applied Mathematics and Approximation Theory 2012," an international conference held in Ankara, Turkey, May 1720, 2012. This volume brings together key work from... More
Language: ENGCopyright: 1998 
Numerical Analysis Using Sage
This is the first numerical analysis text to use Sage for the implementation of algorithms and can be used in a onesemester course for undergraduates in mathematics, math education, computer science/information technology, engineering, and physical sciences. The primary aim of this text is to simp... More
Language: ENGCopyright: 2015 
Intelligent Numerical Methods II: Applications to Multivariate Fractional Calculus
In this short monograph Newtonlikeand other similar numerical methods with applications to solving multivariateequations are developed, which involve Caputotype fractional mixed partial derivatives and multivariate fractional RiemannLiouvilleintegral operators. These are studied for the first tim... More
Language: ENGCopyright: 2016 
Intelligent Routines II
"Intelligent Routines II: Solving Linear Algebra and Differential Geometry with Sage" contains numerous of examples and problems as well as many unsolved problems. This book extensively applies the successful software Sage, which can be found free online http://www. sagemath. org/. Sage is a recen... More
Language: ENGCopyright: 2014 
Intelligent Numerical Methods: Applications to Fractional Calculus
In this monograph the authors present Newtontype, Newtonlike and other numerical methods, which involve fractional derivatives and fractional integral operators, for the first time studied in the literature. All for the purpose to solve numerically equations whose associated functions can be also... More
Language: ENGCopyright: 2016 
Functional Numerical Methods: Applications to Abstract Fractional Calculus
This book presents applications of Newtonlike and other similar methods to solve abstract functional equations involving fractional derivatives. It focuses on Banach spacevalued functions of a real domain  studied for the first time in the literature. Various issues related to the modeling and ... More
Language: ENGCopyright: 2018 
Frontiers in Functional Equations and Analytic Inequalities
This volume presents cutting edge research from the frontiers of functional equations and analytic inequalities active fields. It covers the subject of functional equations in a broad sense, including but not limited to the following topics: Hyperstability of a linear functional equation on restrict... More
Language: ENGCopyright: 2019 
Computational Analysis: AMAT, Ankara, May 2015 Selected Contributions (Springer Proceedings in Mathematics & Statistics #155)
Featuring the clearly presented and expertlyrefereed contributions of leading researchers in the field of approximation theory, this volume is a collection of the best contributions at the Third International Conference on Applied Mathematics and Approximation Theory, an international conference he... More
Language: ENGCopyright: 2016