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Kurzweil Henstock Integral In Riesz Spaces
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Book Synopsis Kurzweil-Henstock Integral in Riesz spaces by : Antonio Boccuto
Download or read book Kurzweil-Henstock Integral in Riesz spaces written by Antonio Boccuto and published by Bentham Science Publishers. This book was released on 2010-04-02 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This Ebook is concerned with both the theory of the Kurzweil-Henstock integral and the basic facts on Riesz spaces. Moreover, even the so-called Sipos integral, which has several applications in economy, is illustrated. The aim of this Ebook is two-fold. "
Book Synopsis The Kurzweil-Henstock Integral and Its Differential by : Solomon Leader
Download or read book The Kurzweil-Henstock Integral and Its Differential written by Solomon Leader and published by CRC Press. This book was released on 2001-06-29 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive review of the Kurzweil-Henstock integration process on the real line and in higher dimensions. It seeks to provide a unified theory of integration that highlights Riemann-Stieljes and Lebesgue integrals as well as integrals of elementary calculus. The author presents practical applications of the definitions and theorems in each section as well as appended sets of exercises.
Book Synopsis The Kurzweil-Henstock Integral and Its Differential by : Solomon Leader
Download or read book The Kurzweil-Henstock Integral and Its Differential written by Solomon Leader and published by CRC Press. This book was released on 2001-06-29 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive review of the Kurzweil-Henstock integration process on the real line and in higher dimensions. It seeks to provide a unified theory of integration that highlights Riemann-Stieljes and Lebesgue integrals as well as integrals of elementary calculus. The author presents practical applications of the definitions and theorems in each sec
Book Synopsis Henstock-Kurzweil Integration by : Jaroslav Kurzweil
Download or read book Henstock-Kurzweil Integration written by Jaroslav Kurzweil and published by World Scientific. This book was released on 2000 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: "the results of the book are very interesting and profound and can be read successfully without preliminary knowledge. It is written with a great didactical mastery, clearly and precisely It can be recommended not only for specialists on integration theory, but also for a large scale of readers, mainly for postgraduate students".Mathematics Abstracts
Book Synopsis Convergence Theorems for Lattice Group-Valued Measures by : Antonio Boccuto
Download or read book Convergence Theorems for Lattice Group-Valued Measures written by Antonio Boccuto and published by Bentham Science Publishers. This book was released on 2015-04-06 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Convergence Theorems for Lattice Group-valued Measures explains limit and boundedness theorems for measures taking values in abstract structures. The book begins with a historical survey about these topics since the beginning of the last century, moving on to basic notions and preliminaries on filters/ideals, lattice groups, measures and tools which are featured in the rest of this text. Readers will also find a survey on recent classical results about limit, boundedness and extension theorems for lattice group-valued measures followed by information about recent developments on these kinds of theorems and several results in the setting of filter/ideal convergence. In addition, each chapter has a general description of the topics and an appendix on random variables, concepts and lattices is also provided. Thus readers will benefit from this book through an easy-to-read historical survey about all the problems on convergence and boundedness theorems, and the techniques and tools which are used to prove the main results. The book serves as a primer for undergraduate, postgraduate and Ph. D. students on mathematical lattice and topological groups and filters, and a treatise for expert researchers who aim to extend their knowledge base.
Book Synopsis Henstock-Kurzweil Integration on Euclidean Spaces by : Tuo Yeong Lee
Download or read book Henstock-Kurzweil Integration on Euclidean Spaces written by Tuo Yeong Lee and published by World Scientific. This book was released on 2011 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Henstock?Kurzweil integral, which is also known as the generalized Riemann integral, arose from a slight modification of the classical Riemann integral more than 50 years ago. This relatively new integral is known to be equivalent to the classical Perron integral; in particular, it includes the powerful Lebesgue integral. This book presents an introduction of the multiple Henstock?Kurzweil integral. Along with the classical results, this book contains some recent developments connected with measures, multiple integration by parts, and multiple Fourier series. The book can be understood with a prerequisite of advanced calculus.
Download or read book Mathematical Reviews written by and published by . This book was released on 2008 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Fixed Point Theory in Ordered Sets and Applications by : Siegfried Carl
Download or read book Fixed Point Theory in Ordered Sets and Applications written by Siegfried Carl and published by Springer Science & Business Media. This book was released on 2010-11-17 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides a unified and comprehensive treatment of an order-theoretic fixed point theory in partially ordered sets and its various useful interactions with topological structures. The material progresses systematically, by presenting the preliminaries before moving to more advanced topics. In the treatment of the applications a wide range of mathematical theories and methods from nonlinear analysis and integration theory are applied; an outline of which has been given an appendix chapter to make the book self-contained. Graduate students and researchers in nonlinear analysis, pure and applied mathematics, game theory and mathematical economics will find this book useful.
Download or read book Real Functions written by and published by . This book was released on 1998 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.
Book Synopsis Panamerican Mathematical Journal by :
Download or read book Panamerican Mathematical Journal written by and published by . This book was released on 2007 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Integral, Measure, and Ordering by : Beloslav Riecan
Download or read book Integral, Measure, and Ordering written by Beloslav Riecan and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is a monograph including some recent results of mea sure and integration theory. It concerns three main ideas. The first idea deals with some ordering structures such as Riesz spaces and lattice or dered groups, and their relation to measure and integration theory. The second is the idea of fuzzy sets, quite new in general, and in measure theory particularly. The third area concerns some models of quantum mechanical systems. We study mainly models based on fuzzy set theory. Some recent results are systematically presented along with our suggestions for further development. The first chapter has an introductory character, where we present basic definitions and notations. Simultaneously, this chapter can be regarded as an elementary introduction to fuzzy set theory. Chapter 2 contains an original approach to the convergence of sequences of measurable functions. While the notion of a null set can be determined uniquely, the notion of a set of "small" measure has a fuzzy character. It is interesting that the notion of fuzzy set and the notion of a set of small measure (described mathematically by so-called small systems) were introduced independently at almost the same time. Although the axiomatic systems in both theories mentioned are quite different, we show that the notion of a small system can be considered from the point of view of fuzzy sets.
Book Synopsis Lanzhou Lectures on Henstock Integration by : Lee Peng-Yee
Download or read book Lanzhou Lectures on Henstock Integration written by Lee Peng-Yee and published by World Scientific. This book was released on 1989-05-01 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an introductory book on Henstock integration, otherwise known as generalized Riemann integral. It is self-contained and introductory. The author has included a series of convergence theorems for the integral, previously not available. In this book, he has also developed a technique of proof required to present the new as well as the classical results. Contents:The Henstock-Kurzweil Integral:IntroductionDefinition and ExamplesSimple PropertiesSome Convergence TheoremsAbsolute Integrability and MeasurabilityThe Denjoy-Perron Integral:The Denjoy IntegralThe Perron IntegralThe Variational IntegralA Riesz-Type DefinitionRiesz Representation Theorems:Sargent SpacesLinear FunctionalsA Nonlinear IntegralTHE RIEMANN-TYPE INTEGRALS: The RL Integral and the McShane IntegralThe DL IntegralNumerical IntegrationSome Generations:Approximately Continuous IntegralsThe Cesaro-Perron IntegralThe Kunugi IntegralA General Theory Readership: Mathematicians. Keywords:Henstock;Kurzweil;Lee;Nonabsolute Integration;Real Analysis;Lanzhou;Denjoy;Perron
Download or read book New Integrals written by Peter S. Bullen and published by Springer. This book was released on 2006-11-14 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Scientiae Mathematicae Japonicae by :
Download or read book Scientiae Mathematicae Japonicae written by and published by . This book was released on 2008 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Library of Congress Subject Headings by : Library of Congress
Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2013 with total page 1164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Kurzweil-stieltjes Integral: Theory And Applications by : Tvrdy Milan
Download or read book Kurzweil-stieltjes Integral: Theory And Applications written by Tvrdy Milan and published by World Scientific. This book was released on 2018-09-24 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is primarily devoted to the Kurzweil-Stieltjes integral and its applications in functional analysis, theory of distributions, generalized elementary functions, as well as various kinds of generalized differential equations, including dynamic equations on time scales. It continues the research that was paved out by some of the previous volumes in the Series in Real Analysis. Moreover, it presents results in a thoroughly updated form and, simultaneously, it is written in a widely understandable way, so that it can be used as a textbook for advanced university or PhD courses covering the theory of integration or differential equations.
