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A Korovkin Type Approximation Theorem For Set Valued Functions
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Book Synopsis A Korovkin type approximation theorem for set valued functions by : Klaus Keimel
Download or read book A Korovkin type approximation theorem for set valued functions written by Klaus Keimel and published by . This book was released on 1987 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Approximation of Convex Set-Valued Functions by : Richard A. Vitale
Download or read book Approximation of Convex Set-Valued Functions written by Richard A. Vitale and published by . This book was released on 1978 with total page 23 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation of set-valued functions is introduced and discussed under a convexity assumption. In particular, a theorem of Korovkin type is derived for a class of approximation methods. (Author).
Book Synopsis Ordered Cones and Approximation by : Klaus Keimel
Download or read book Ordered Cones and Approximation written by Klaus Keimel and published by Springer. This book was released on 2006-11-15 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified approach to Korovkin-type approximation theorems. It includes classical material on the approximation of real-valuedfunctions as well as recent and new results on set-valued functions and stochastic processes, and on weighted approximation. The results are notonly of qualitative nature, but include quantitative bounds on the order of approximation. The book is addressed to researchers in functional analysis and approximation theory as well as to those that want to applythese methods in other fields. It is largely self- contained, but the readershould have a solid background in abstract functional analysis. The unified approach is based on a new notion of locally convex ordered cones that are not embeddable in vector spaces but allow Hahn-Banach type separation and extension theorems. This concept seems to be of independent interest.
Book Synopsis Korovkin-type Approximation Theory and Its Applications by : Francesco Altomare
Download or read book Korovkin-type Approximation Theory and Its Applications written by Francesco Altomare and published by Walter de Gruyter. This book was released on 2011-07-21 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob.
Book Synopsis Approximation Of Set-valued Functions: Adaptation Of Classical Approximation Operators by : Nira Dyn
Download or read book Approximation Of Set-valued Functions: Adaptation Of Classical Approximation Operators written by Nira Dyn and published by World Scientific. This book was released on 2014-10-30 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at the approximation of set-valued functions with compact sets in an Euclidean space as values. The interest in set-valued functions is rather new. Such functions arise in various modern areas such as control theory, dynamical systems and optimization. The authors' motivation also comes from the newer field of geometric modeling, in particular from the problem of reconstruction of 3D objects from 2D cross-sections. This is reflected in the focus of this book, which is the approximation of set-valued functions with general (not necessarily convex) sets as values, while previous results on this topic are mainly confined to the convex case. The approach taken in this book is to adapt classical approximation operators and to provide error estimates in terms of the regularity properties of the approximated set-valued functions. Specialized results are given for functions with 1D sets as values.
Book Synopsis Ordered Cones and Approximation by : Klaus Keimel
Download or read book Ordered Cones and Approximation written by Klaus Keimel and published by Springer. This book was released on 1992-05-06 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a unified approach to Korovkin-type approximation theorems. It includes classical material on the approximation of real-valuedfunctions as well as recent and new results on set-valued functions and stochastic processes, and on weighted approximation. The results are notonly of qualitative nature, but include quantitative bounds on the order of approximation. The book is addressed to researchers in functional analysis and approximation theory as well as to those that want to applythese methods in other fields. It is largely self- contained, but the readershould have a solid background in abstract functional analysis. The unified approach is based on a new notion of locally convex ordered cones that are not embeddable in vector spaces but allow Hahn-Banach type separation and extension theorems. This concept seems to be of independent interest.
Book Synopsis Approximation of Set-valued Functions by : Nira Dyn
Download or read book Approximation of Set-valued Functions written by Nira Dyn and published by . This book was released on 2014 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at the approximation of set-valued functions with compact sets in an Euclidean space as values. The interest in set-valued functions is rather new. Such functions arise in various modern areas such as control theory, dynamical systems and optimization. The authors' motivation also comes from the newer field of geometric modeling, in particular from the problem of reconstruction of 3D objects from 2D cross-sections. This is reflected in the focus of this book, which is the approximation of set-valued functions with general (not necessarily convex) sets as values, while previous results on this topic are mainly confined to the convex case. The approach taken in this book is to adapt classical approximation operators and to provide error estimates in terms of the regularity properties of the approximated set-valued functions. Specialized results are given for functions with 1D sets as values.
Book Synopsis Approximation Results and Korovkin-Type Theorems by : Ambreen Naaz
Download or read book Approximation Results and Korovkin-Type Theorems written by Ambreen Naaz and published by . This book was released on 2023-04-07 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis L'Analyse numérique et la théorie de l'approximation by :
Download or read book L'Analyse numérique et la théorie de l'approximation written by and published by . This book was released on 1988 with total page 952 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 Approximation and Representation of Set-valued Functions with Compact Images by : Alona Mokhov
Download or read book Approximation and Representation of Set-valued Functions with Compact Images written by Alona Mokhov and published by . This book was released on 2011 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Approximation of Functions by : G. G. Lorentz
Download or read book Approximation of Functions written by G. G. Lorentz and published by American Mathematical Society. This book was released on 2023-05-08 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an easily accessible account of the approximation of functions. It is simple and without unnecessary details, but complete enough to include the classical results of the theory. With only a few exceptions, only functions of one real variable are considered. A major theme is the degree of uniform approximation by linear sets of functions. This encompasses approximations by trigonometric polynomials, algebraic polynomials, rational functions, and polynomial operators. The chapter on approximation by operators does not assume extensive knowledge of functional analysis. Two chapters cover the important topics of widths and entropy. The last chapter covers the solution by Kolmogorov and Arnol?d of Hilbert's 13th problem. There are notes at the end of each chapter that give information about important topics not treated in the main text. Each chapter also has a short set of challenging problems, which serve as illustrations.
Book Synopsis Integral Representation by : Walter Roth
Download or read book Integral Representation written by Walter Roth and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-10-02 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis MRC Technical Summary Report by : Mathematics Research Center (United States. Army)
Download or read book MRC Technical Summary Report written by Mathematics Research Center (United States. Army) and published by . This book was released on 1977 with total page 598 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Operator-Valued Measures and Integrals for Cone-Valued Functions by : Walter Roth
Download or read book Operator-Valued Measures and Integrals for Cone-Valued Functions written by Walter Roth and published by Springer Science & Business Media. This book was released on 2009-02-05 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integration theory deals with extended real-valued, vector-valued, or operator-valued measures and functions, but different approaches are used for each case. This book develops a general theory of integration that simultaneously deals with all three cases.
Book Synopsis Nonlinear Analysis by : Panos M. Pardalos
Download or read book Nonlinear Analysis written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2012-06-02 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume will consist of about 40 articles written by some very influential mathematicians of our time and will expose the latest achievements in the broad area of nonlinear analysis and its various interdisciplinary applications.
Book Synopsis Mathematical Analysis I: Approximation Theory by : Naokant Deo
Download or read book Mathematical Analysis I: Approximation Theory written by Naokant Deo and published by Springer Nature. This book was released on 2020-02-17 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects original research papers and survey articles presented at the International Conference on Recent Advances in Pure and Applied Mathematics (ICRAPAM), held at Delhi Technological University, India, on 23–25 October 2018. Divided into two volumes, it discusses major topics in mathematical analysis and its applications, and demonstrates the versatility and inherent beauty of analysis. It also shows the use of analytical techniques to solve problems and, wherever possible, derive their numerical solutions. This volume addresses major topics, such as operator theory, approximation theory, fixed-point theory, holomorphic functions, summability theory, and analytic functions. It is a valuable resource for students as well as researchers in mathematical sciences.