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Intelligent Comparisons Analytic Inequalities
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Book Synopsis Intelligent Comparisons: Analytic Inequalities by : George A. Anastassiou
Download or read book Intelligent Comparisons: Analytic Inequalities written by George A. Anastassiou and published by Springer. This book was released on 2015-07-11 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents recent and original work of the author on inequalities in real, functional and fractional analysis. The chapters are self-contained and can be read independently, they include an extensive list of references per chapter. The book’s results are expected to find applications in many areas of applied and pure mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such this monograph is suitable for researchers, graduate students, and seminars of the above subjects, as well as Science and Engineering University libraries.
Book Synopsis Intelligent Comparisons II: Operator Inequalities and Approximations by : George A. Anastassiou
Download or read book Intelligent Comparisons II: Operator Inequalities and Approximations written by George A. Anastassiou and published by Springer. This book was released on 2017-01-13 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This compact book focuses on self-adjoint operators’ well-known 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 self-contained and can be read independently. Further, each chapter includes an extensive list of references for further reading. The book’s results are expected to find applications in many areas of pure and applied mathematics. Given its concise format, it is especially suitable for use in related graduate classes and research projects. As such, the book offers a valuable resource for researchers and graduate students alike, as well as a key addition to all science and engineering libraries.
Book Synopsis Frontiers in Functional Equations and Analytic Inequalities by : George A. Anastassiou
Download or read book Frontiers in Functional Equations and Analytic Inequalities written by George A. Anastassiou and published by Springer Nature. This book was released on 2019-11-23 with total page 746 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 restricted domains Hyers–Ulam’s stability results to a three point boundary value problem of nonlinear fractional order differential equations Topological degree theory and Ulam’s stability analysis of a boundary value problem of fractional differential equations General Solution and Hyers-Ulam Stability of Duo Trigintic Functional Equation in Multi-Banach Spaces Stabilities of Functional Equations via Fixed Point Technique Measure zero stability problem for the Drygas functional equation with complex involution Fourier Transforms and Ulam Stabilities of Linear Differential Equations Hyers–Ulam stability of a discrete diamond–alpha derivative equation Approximate solutions of an interesting new mixed type additive-quadratic-quartic functional equation. The diverse selection of inequalities covered includes Opial, Hilbert-Pachpatte, Ostrowski, comparison of means, Poincare, Sobolev, Landau, Polya-Ostrowski, Hardy, Hermite-Hadamard, Levinson, and complex Korovkin type. The inequalities are also in the environments of Fractional Calculus and Conformable Fractional Calculus. Applications from this book's results can be found in many areas of pure and applied mathematics, especially in ordinary and partial differential equations and fractional differential equations. As such, this volume is suitable for researchers, graduate students and related seminars, and all science and engineering libraries. The exhibited thirty six chapters are self-contained and can be read independently and interesting advanced seminars can be given out of this book.
Book Synopsis Intelligent Analysis: Fractional Inequalities and Approximations Expanded by : George A. Anastassiou
Download or read book Intelligent Analysis: Fractional Inequalities and Approximations Expanded written by George A. Anastassiou and published by Springer Nature. This book was released on 2020-01-15 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 real-world applications. We start with the important Iyengar type inequalities and we continue with Choquet integral analytical inequalities, which are involved in major applications in economics. In turn, we address the local fractional derivatives of Riemann–Liouville type and related results including inequalities. We examine the case of low order Riemann–Liouville fractional derivatives and inequalities without initial conditions, together with related approximations. In the next section, we discuss quantitative complex approximation theory by operators and various important complex fractional inequalities. We also cover the conformable fractional approximation of Csiszar’s well-known f-divergence, and present conformable fractional self-adjoint operator inequalities. We continue by investigating new local fractional M-derivatives that share all the basic properties of ordinary derivatives. In closing, we discuss the new complex multivariate Taylor formula with integral remainder. Sharing results that can be applied in various areas of pure and applied mathematics, the book offers a valuable resource for researchers and graduate students, and can be used to support seminars in related fields.
Book Synopsis Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations by : George A. Anastassiou
Download or read book Intelligent Computations: Abstract Fractional Calculus, Inequalities, Approximations written by George A. Anastassiou and published by Springer. This book was released on 2017-09-02 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 self-contained and can be read independently. This concise book is suitable for use in related graduate classes and many research projects. An extensive list of references is provided for each chapter. The book’s results are relevant for many areas of pure and applied mathematics. As such, it offers a unique resource for researchers, and a valuable addition to all science and engineering libraries.
Book Synopsis Constructive Fractional Analysis with Applications by : George A. Anastassiou
Download or read book Constructive Fractional Analysis with Applications written by George A. Anastassiou and published by Springer Nature. This book was released on 2021-04-01 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Computational Fractional Analysis recently is more and more in the center of mathematics because of their great applications in the real world. In this book, all presented is original work by the author given at a very general level to cover a maximum number of cases in various applications. The author applies generalized fractional differentiation techniques of Riemann–Liouville, Caputo and Canavati types and of fractional variable order to various kinds of inequalities such as of Opial, Hardy, Hilbert–Pachpatte and on the spherical shell. He continues with E. R. Love left- and right-side fractional integral inequalities. They follow fractional Landau inequalities, of left and right sides, univariate and multivariate, including ones for Semigroups. These are developed to all possible directions, and right-side multivariate fractional Taylor formulae are proven for the purpose. It continues with several Gronwall fractional inequalities of variable order. This book results are expected to find applications in many areas of pure and applied mathematics. 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.
Book Synopsis Fractional Inequalities In Banach Algebras by : George A. Anastassiou
Download or read book Fractional Inequalities In Banach Algebras written by George A. Anastassiou and published by Springer Nature. This book was released on 2022-05-12 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents generalized Caputo fractional Ostrowski and Grüss-type inequalities involving several Banach algebra valued functions. Furthermore, the author gives generalized Canavati fractional Ostrowski, Opial, Grüss, and Hilbert-Pachpatte-type inequalities for multiple Banach algebra valued functions. By applying the p-Schatten norms over the von Neumann–Schatten classes, the author produces the analogous refined and interesting inequalities. The author provides many applications. This book’s results are expected to find applications in many areas of pure and applied mathematics, especially in fractional inequalities and fractional differential equations. Other interesting applications are in applied sciences like geophysics, physics, chemistry, economics, and engineering. This book is appropriate for researchers, graduate students, practitioners, and seminars of the above disciplines, also to be in all science and engineering libraries.
Book Synopsis Unification of Fractional Calculi with Applications by : George A. Anastassiou
Download or read book Unification of Fractional Calculi with Applications written by George A. Anastassiou and published by Springer Nature. This book was released on 2021-11-21 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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-Divergence, self-adjoint operator and related to fuzziness. Our results are univariate and multivariate. This book’s results are expected to find applications in many areas of pure and applied mathematics, especially in fractional inequalities and fractional differential equations. Other interesting applications can be in applied sciences like geophysics, physics, chemistry, economics and engineering. This book is appropriate for researchers, graduate students, practitioners and seminars of the above disciplines, also to be in all science and engineering libraries.
Book Synopsis Generalized Fractional Calculus by : George A. Anastassiou
Download or read book Generalized Fractional Calculus written by George A. Anastassiou and published by Springer Nature. This book was released on 2020-11-25 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 numerical analysis, stochastics and fractional differential equations. The book continues with generalized fractional approximations by positive sublinear operators which derive from the presented Korovkin type inequalities and also includes abstract cases. It presents also multivariate complex Korovkin quantitative approximation theory. It follows M-fractional integral inequalities of Ostrowski and Polya types. The results are weighted so they provide a great variety of cases and applications. The second part of the book deals with the quantitative fractional Korovkin type approximation of stochastic processes and lays there the foundations of stochastic fractional calculus. The book considers both Caputo and Conformable fractional directions and derives regular and trigonometric results. The 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 monograph is suitable for researchers, graduate students, and seminars of the above disciplines, also to be in all science and engineering libraries.
Book Synopsis Ordinary and Fractional Approximation by Non-additive Integrals: Choquet, Shilkret and Sugeno Integral Approximators by : George A. Anastassiou
Download or read book Ordinary and Fractional Approximation by Non-additive Integrals: Choquet, Shilkret and Sugeno Integral Approximators written by George A. Anastassiou and published by Springer. This book was released on 2018-12-07 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ordinary and fractional approximations by non-additive 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 flexible approximations based on limited data. The author presents both the univariate and multivariate cases. The involved set functions are much weaker forms of the Lebesgue measure and they were conceived to fulfill the needs of economic theory and other applied sciences. The approaches presented here are original, and all chapters are self-contained and can be read independently. Moreover, the book’s findings are sure to find application in many areas of pure and applied mathematics, especially in approximation theory, numerical analysis and mathematical economics (both ordinary and fractional). Accordingly, it offers a unique resource for researchers, graduate students, and for coursework in the above-mentioned fields, and belongs in all science and engineering libraries.
Book Synopsis Artificial Intelligence-Based Forecasting and Analytic Techniques for Environment and Economics Management by : Wendong Yang
Download or read book Artificial Intelligence-Based Forecasting and Analytic Techniques for Environment and Economics Management written by Wendong Yang and published by Frontiers Media SA. This book was released on 2022-11-09 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Social Inequality, Analytical Egalitarianism, and the March Towards Eugenic Explanations in the Social Sciences by : Laurence S. Moss
Download or read book Social Inequality, Analytical Egalitarianism, and the March Towards Eugenic Explanations in the Social Sciences written by Laurence S. Moss and published by John Wiley & Sons. This book was released on 2009-02-23 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers together several essays by historians ofeconomics who express varying reactions to the Peart-Levy thesis. Contains several essays by historians of economics who expressvarying reactions to the thesis expressed in Professors Sandra J.Peart’s and David M. Levy’s book The ‘Vanityof the Philosopher’: From Equality to Hierarchy inPost-classical Economics Explains the importance of 'analytic egalitarianism' ineconomics and the sad consequences of moving away from thisapproach Provides reading that can complement reading lists ineconomics, the mathematics of gambling, and the political economyof the gaming industry
Book Synopsis Explaining Inequalities in School Achievement by : Roy Nash
Download or read book Explaining Inequalities in School Achievement written by Roy Nash and published by Routledge. This book was released on 2016-04-15 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inequalities in educational opportunity have been a persistent feature of all school systems for generations, with conventional explanations of differences in educational attainment tending to be reduced to either quantitative or non-quantitative 'list' theories. In this groundbreaking book, Roy Nash argues that a realist framework for the sociological explanation of educational group differences can, and must be, constructed. A move to such an explanatory framework will allow us to take into account the social influences of early childhood development, the later emergence of social identities, and the nature of the social class impact of educational and career decision-making. By building on the critical analyses of the theories of Bourdieu, Boudon and Bernstein, this book makes a vital contribution to the current policy and theoretical debate about the causes of educational inequality.
Book Synopsis Hybrid Intelligent Techniques for Pattern Analysis and Understanding by : Siddhartha Bhattacharyya
Download or read book Hybrid Intelligent Techniques for Pattern Analysis and Understanding written by Siddhartha Bhattacharyya and published by CRC Press. This book was released on 2017-10-30 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hybrid Intelligent Techniques for Pattern Analysis and Understanding outlines the latest research on the development and application of synergistic approaches to pattern analysis in real-world scenarios. An invaluable resource for lecturers, researchers, and graduates students in computer science and engineering, this book covers a diverse range of hybrid intelligent techniques, including image segmentation, character recognition, human behavioral analysis, hyperspectral data processing, and medical image analysis.
Book Synopsis Cases in Intelligence Analysis by : Sarah Miller Beebe
Download or read book Cases in Intelligence Analysis written by Sarah Miller Beebe and published by CQ Press. This book was released on 2014-04-28 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: In their Second Edition of Cases in Intelligence Analysis: Structured Analytic Techniques in Action, accomplished instructors and intelligence practitioners Sarah Miller Beebe and Randolph H. Pherson offer robust, class-tested cases studies of events in foreign intelligence, counterintelligence, terrorism, homeland security, law enforcement, and decision-making support. Designed to give analysts-in-training an opportunity to apply structured analytic techniques and tackle real-life problems, each turnkey case delivers a captivating narrative, discussion questions, recommended readings, and a series of engaging analytic exercises.
Book Synopsis Education As the Cultivation of Intelligence by : Michael E. Martinez
Download or read book Education As the Cultivation of Intelligence written by Michael E. Martinez and published by Routledge. This book was released on 2014-04-08 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book argues that the intellectual abilities that are crucial to modern life correspond to the cognitive functions that are reasonably called intelligence. These intellectual abilities are learnable and we have the knowledge to teach them directly.
Book Synopsis The Wiley-Blackwell Handbook of Individual Differences by : Tomas Chamorro-Premuzic
Download or read book The Wiley-Blackwell Handbook of Individual Differences written by Tomas Chamorro-Premuzic and published by John Wiley & Sons. This book was released on 2015-06-22 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Wiley-Blackwell Handbook of Individual Differences provides a comprehensive, up-to-date overview of recent research, current perspectives, practical applications, and likely future developments in individual differences. Brings together the work of the top global researchers within the area of individual differences, including Philip L. Ackerman, Ian J. Deary, Ed Diener, Robert Hogan, Deniz S. Ones and Dean Keith Simonton Covers methodological, theoretical and paradigm changes in the area of individual differences Individual chapters cover core areas of individual differences including personality and intelligence, biological causes of individual differences, and creativity and emotional intelligence
