Approximation With Positive Linear Operators And Linear Combinations

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Approximation with Positive Linear Operators and Linear Combinations

Author : Vijay Gupta
Publisher : Springer
ISBN 13 : 3319587951
Total Pages : 186 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Approximation with Positive Linear Operators and Linear Combinations by : Vijay Gupta

Download or read book Approximation with Positive Linear Operators and Linear Combinations written by Vijay Gupta and published by Springer. This book was released on 2017-06-27 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic overview of approximation by linear combinations of positive linear operators, a useful tool used to increase the order of approximation. Fundamental and recent results from the past decade are described with their corresponding proofs. The volume consists of eight chapters that provide detailed insight into the representation of monomials of the operators Ln , direct and inverse estimates for a broad class of positive linear operators, and case studies involving finite and unbounded intervals of real and complex functions. Strong converse inequalities of Type A in terminology of Ditzian–Ivanov for linear combinations of Bernstein and Bernstein–Kantorovich operators and various Voronovskaja-type estimates for some linear combinations are analyzed and explained. Graduate students and researchers in approximation theory will find the list of open problems in approximation of linear combinations useful. The book serves as a reference for graduate and postgraduate courses as well as a basis for future study and development.

Approximation Theory Using Positive Linear Operators

Author : Radu Paltanea
Publisher : Springer Science & Business Media
ISBN 13 : 1461220580
Total Pages : 208 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Approximation Theory Using Positive Linear Operators by : Radu Paltanea

Download or read book Approximation Theory Using Positive Linear Operators written by Radu Paltanea and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Offers an examination of the multivariate approximation case Special focus on the Bernstein operators, including applications, and on two new classes of Bernstein-type operators Many general estimates, leaving room for future applications (e.g. the B-spline case) Extensions to approximation operators acting on spaces of vector functions Historical perspective in the form of previous significant results

The Approximation of Continuous Functions by Positive Linear Operators

Author : Ronald A. De Vore
Publisher : Springer
ISBN 13 : 3540379959
Total Pages : 298 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis The Approximation of Continuous Functions by Positive Linear Operators by : Ronald A. De Vore

Download or read book The Approximation of Continuous Functions by Positive Linear Operators written by Ronald A. De Vore and published by Springer. This book was released on 2006-11-15 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Approximation of Continuous Functions by Positive Linear Operators

Author : Ronald A. De Vore
Publisher :
ISBN 13 : 9783662179765
Total Pages : 304 pages
Book Rating : 4.1/5 (797 download)

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Book Synopsis The Approximation of Continuous Functions by Positive Linear Operators by : Ronald A. De Vore

Download or read book The Approximation of Continuous Functions by Positive Linear Operators written by Ronald A. De Vore and published by . This book was released on 2014-01-15 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Moments of Linear Positive Operators and Approximation

Author : Vijay Gupta
Publisher : Springer
ISBN 13 : 3030194558
Total Pages : 96 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Moments of Linear Positive Operators and Approximation by : Vijay Gupta

Download or read book Moments of Linear Positive Operators and Approximation written by Vijay Gupta and published by Springer. This book was released on 2019-05-25 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a valuable resource for Graduate students and researchers interested in current techniques and methods within the theory of moments in linear positive operators and approximation theory. Moments are essential to the convergence of a sequence of linear positive operators. Several methods are examined to determine moments including direct calculations, recurrence relations, and the application of hypergeometric series. A collection of operators in the theory of approximation are investigated through their moments and a variety of results are surveyed with fundamental theories and recent developments. Detailed examples are included to assist readers understand vital theories and potential applications.

Linear Operators and Approximation

Author : Paul L. Butzer
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (96 download)

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Book Synopsis Linear Operators and Approximation by : Paul L. Butzer

Download or read book Linear Operators and Approximation written by Paul L. Butzer and published by . This book was released on 1972 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spectral Approximation of Linear Operators

Author : Francoise Chatelin
Publisher : SIAM
ISBN 13 : 9781611970678
Total Pages : 485 pages
Book Rating : 4.9/5 (76 download)

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Book Synopsis Spectral Approximation of Linear Operators by : Francoise Chatelin

Download or read book Spectral Approximation of Linear Operators written by Francoise Chatelin and published by SIAM. This book was released on 1983-01-01 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic textbook provides a unified treatment of spectral approximation for closed or bounded operators as well as for matrices. Despite significant changes and advances in the field since it was first published in 1983, the book continues to form the theoretical bedrock for any computational approach to spectral theory over matrices or linear operators. This coverage of classical results is not readily available elsewhere. The text offers in-depth coverage of properties of various types of operator convergence, the spectral approximation of non-self-adjoint operators, a generalization of classical perturbation theory, and computable errors bounds and iterative refinement techniques, along with many exercises (with solutions), making it a valuable textbook for graduate students and reference manual for self-study.

Positive Linear Systems

Author : Mark Aleksandrovich Krasnoselʹskiĭ
Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Positive Linear Systems by : Mark Aleksandrovich Krasnoselʹskiĭ

Download or read book Positive Linear Systems written by Mark Aleksandrovich Krasnoselʹskiĭ and published by . This book was released on 1989 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Linear Operator Equations

Author : M. Thamban Nair
Publisher : World Scientific
ISBN 13 : 9812835652
Total Pages : 264 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Linear Operator Equations by : M. Thamban Nair

Download or read book Linear Operator Equations written by M. Thamban Nair and published by World Scientific. This book was released on 2009 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many problems in science and engineering have their mathematical formulation as an operator equation Tx=y, where T is a linear or nonlinear operator between certain function spaces. In practice, such equations are solved approximately using numerical methods, as their exact solution may not often be possible or may not be worth looking for due to physical constraints. In such situations, it is desirable to know how the so-called approximate solution approximates the exact solution, and what the error involved in such procedures would be. This book is concerned with the investigation of the above theoretical issues related to approximately solving linear operator equations. The main tools used for this purpose are basic results from functional analysis and some rudimentary ideas from numerical analysis. To make this book more accessible to readers, no in-depth knowledge on these disciplines is assumed for reading this book.

Linear Operators and Approximation Theory

Author : Pavel Petrovich Korovkin
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Linear Operators and Approximation Theory by : Pavel Petrovich Korovkin

Download or read book Linear Operators and Approximation Theory written by Pavel Petrovich Korovkin and published by . This book was released on 1960 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Mathematical Methods and High Performance Computing

Author : Vinai K. Singh
Publisher : Springer
ISBN 13 : 3030024873
Total Pages : 503 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Advances in Mathematical Methods and High Performance Computing by : Vinai K. Singh

Download or read book Advances in Mathematical Methods and High Performance Computing written by Vinai K. Singh and published by Springer. This book was released on 2019-02-14 with total page 503 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special volume of the conference will be of immense use to the researchers and academicians. In this conference, academicians, technocrats and researchers will get an opportunity to interact with eminent persons in the field of Applied Mathematics and Scientific Computing. The topics to be covered in this International Conference are comprehensive and will be adequate for developing and understanding about new developments and emerging trends in this area. High-Performance Computing (HPC) systems have gone through many changes during the past two decades in their architectural design to satisfy the increasingly large-scale scientific computing demand. Accurate, fast, and scalable performance models and simulation tools are essential for evaluating alternative architecture design decisions for the massive-scale computing systems. This conference recounts some of the influential work in modeling and simulation for HPC systems and applications, identifies some of the major challenges, and outlines future research directions which we believe are critical to the HPC modeling and simulation community.

Korovkin-type Approximation Theory and Its Applications

Author : Francesco Altomare
Publisher : Walter de Gruyter
ISBN 13 : 3110884585
Total Pages : 641 pages
Book Rating : 4.1/5 (18 download)

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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.

Approximation of Set-Valued Functions

Author : Nira Dyn
Publisher : World Scientific
ISBN 13 : 1783263040
Total Pages : 168 pages
Book Rating : 4.7/5 (832 download)

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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 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. Contents:Scientific Background:On Functions with Values in Metric SpacesOn SetsOn Set-Valued Functions (SVFs)Approximation of SVFs with Images in ℝn:Methods Based on Canonical RepresentationsMethods Based on Minkowski Convex CombinationsMethods Based on the Metric AverageMethods Based on Metric Linear CombinationsMethods Based on Metric SelectionsApproximation of SVFs with Images in ℝ:SVFs with Images in ℝ Multi-Segmental and Topological RepresentationsMethods Based on Topological Representation Readership: Researchers and graduate students in the fields of approximation theory, set-valued analysis, dynamical systems, control and game theory, optimization and geometric modeling. Key Features:This is the only book on the subject of approximation of set-valued functionsIt presents the pioneering work on the approximation of set-valued functions with general (not necessarily convex) sets as valuesThe first author is an internationally known expert in the field of Approximation Theory, the second author is an expert in numerical set-valued and non-smooth analysis. The third author received her PhD recently under the supervision of the first two authors. Many of the results presented in the book are based on her thesisKeywords:Approximation;Set-Valued;Set Operations;Minkowski Sum;Metric Average;Parameterization of Sets;Positive Operators;Metric Spaces;Hausdorff Metric

Computational Mathematics and Variational Analysis

Author : Nicholas J. Daras
Publisher : Springer Nature
ISBN 13 : 3030446255
Total Pages : 564 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Computational Mathematics and Variational Analysis by : Nicholas J. Daras

Download or read book Computational Mathematics and Variational Analysis written by Nicholas J. Daras and published by Springer Nature. This book was released on 2020-06-06 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a broad discussion of computational methods and theories on various classical and modern research problems from pure and applied mathematics. Readers conducting research in mathematics, engineering, physics, and economics will benefit from the diversity of topics covered. Contributions from an international community treat the following subjects: calculus of variations, optimization theory, operations research, game theory, differential equations, functional analysis, operator theory, approximation theory, numerical analysis, asymptotic analysis, and engineering. Specific topics include algorithms for difference of monotone operators, variational inequalities in semi-inner product spaces, function variation principles and normed minimizers, equilibria of parametrized N-player nonlinear games, multi-symplectic numerical schemes for differential equations, time-delay multi-agent systems, computational methods in non-linear design of experiments, unsupervised stochastic learning, asymptotic statistical results, global-local transformation, scattering relations of elastic waves, generalized Ostrowski and trapezoid type rules, numerical approximation, Szász Durrmeyer operators and approximation, integral inequalities, behaviour of the solutions of functional equations, functional inequalities in complex Banach spaces, functional contractions in metric spaces.

Bernstein Operators and Their Properties

Author : Jorge Bustamante
Publisher : Birkhäuser
ISBN 13 : 3319554026
Total Pages : 420 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Bernstein Operators and Their Properties by : Jorge Bustamante

Download or read book Bernstein Operators and Their Properties written by Jorge Bustamante and published by Birkhäuser. This book was released on 2017-04-13 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides comprehensive information on the main aspects of Bernstein operators, based on the literature to date. Bernstein operators have a long-standing history and many papers have been written on them. Among all types of positive linear operators, they occupy a unique position because of their elegance and notable approximation properties. This book presents carefully selected material from the vast body of literature on this topic. In addition, it highlights new material, including several results (with proofs) appearing in a book for the first time. To facilitate comprehension, exercises are included at the end of each chapter. The book is largely self-contained and the methods in the proofs are kept as straightforward as possible. Further, it requires only a basic grasp of analysis, making it a valuable and appealing resource for advanced graduate students and researchers alike.

New Developments in Approximation Theory

Author : Manfred W. Müller
Publisher : Springer Science & Business Media
ISBN 13 : 9783764361433
Total Pages : 352 pages
Book Rating : 4.3/5 (614 download)

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Book Synopsis New Developments in Approximation Theory by : Manfred W. Müller

Download or read book New Developments in Approximation Theory written by Manfred W. Müller and published by Springer Science & Business Media. This book was released on 1999 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains refereed papers which were presented at the Second International Dortmund Meeting on Approximation Theory (IDoMAT '98) at Haus Bommerholz, the conference center of Dortmund University, during the week of February 23-27, 1998. At this conference 50 researchers and specialists from Bulgaria, China, France, Great Britain, Hungary, Israel, Italy, Romania, South Africa and Germany participated and described new developments in the fields of univariate and multivariate approximation theory. The papers cover topics such as radial basis functions, bivariate spline interpolation, subdivision algorithms, multilevel interpolation, multivariate triangular Bernstein bases, Padè approximation, comonotone polynomial approximation, weighted and unweighted polynomial approximation, adaptive approximation, approximation operators of binomial type, quasi-interpolants, generalized convexity and Peano kernel techniques.This research has applications in areas such as computer-aided geometric design, as applied in engineering and medical technology (e.g. computerized tomography).

Recent Advances in Constructive Approximation Theory

Author : Vijay Gupta
Publisher : Springer
ISBN 13 : 3319921657
Total Pages : 291 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Recent Advances in Constructive Approximation Theory by : Vijay Gupta

Download or read book Recent Advances in Constructive Approximation Theory written by Vijay Gupta and published by Springer. This book was released on 2018-07-06 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an in-depth study on advances in constructive approximation theory with recent problems on linear positive operators. State-of-the-art research in constructive approximation is treated with extensions to approximation results on linear positive operators in a post quantum and bivariate setting. Methods, techniques, and problems in approximation theory are demonstrated with applications to optimization, physics, and biology. Graduate students, research scientists and engineers working in mathematics, physics, and industry will broaden their understanding of operators essential to pure and applied mathematics. Topics discussed include: discrete operators, quantitative estimates, post-quantum calculus, integral operators, univariate Gruss-type inequalities for positive linear operators, bivariate operators of discrete and integral type, convergence of GBS operators.