Approximation Theory Using Positive Linear Operators
DOWNLOAD
FREE 30 Days
Download Approximation Theory Using Positive Linear Operators PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Approximation Theory Using Positive Linear Operators book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Approximation Theory Using Positive Linear Operators
DOWNLOAD
FREE 30 Days
Author : Radu Paltanea
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Approximation Theory Using Positive Linear Operators written by Radu Paltanea and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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
Approximation With Positive Linear Operators And Linear Combinations
DOWNLOAD
FREE 30 Days
Author : Vijay Gupta
language : en
Publisher: Springer
Release Date : 2017-06-27
Approximation With Positive Linear Operators And Linear Combinations written by Vijay Gupta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-06-27 with Mathematics categories.
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.
Moments Of Linear Positive Operators And Approximation
DOWNLOAD
FREE 30 Days
Author : Vijay Gupta
language : en
Publisher: Springer
Release Date : 2019-05-25
Moments Of Linear Positive Operators And Approximation written by Vijay Gupta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-25 with Mathematics categories.
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.
The Approximation Of Continuous Functions By Positive Linear Operators
DOWNLOAD
FREE 30 Days
Author : Ronald A. De Vore
language : en
Publisher: Springer
Release Date : 2006-11-15
The Approximation Of Continuous Functions By Positive Linear Operators written by Ronald A. De Vore and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
The Approximation Of Continuous Functions By Positive Linear Operators
DOWNLOAD
FREE 30 Days
Author : Ronald A. De Vore
language : en
Publisher:
Release Date : 2014-01-15
The Approximation Of Continuous Functions By Positive Linear Operators written by Ronald A. De Vore and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Recent Advances In Constructive Approximation Theory
DOWNLOAD
FREE 30 Days
Author : Vijay Gupta
language : en
Publisher: Springer
Release Date : 2019-08
Recent Advances In Constructive Approximation Theory written by Vijay Gupta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08 with categories.
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.
Approximation Theory
DOWNLOAD
FREE 30 Days
Author : George A. Anastassiou
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Approximation Theory written by George A. Anastassiou and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
We study in Part I of this monograph the computational aspect of almost all moduli of continuity over wide classes of functions exploiting some of their convexity properties. To our knowledge it is the first time the entire calculus of moduli of smoothness has been included in a book. We then present numerous applications of Approximation Theory, giving exact val ues of errors in explicit forms. The K-functional method is systematically avoided since it produces nonexplicit constants. All other related books so far have allocated very little space to the computational aspect of moduli of smoothness. In Part II, we study/examine the Global Smoothness Preservation Prop erty (GSPP) for almost all known linear approximation operators of ap proximation theory including: trigonometric operators and algebraic in terpolation operators of Lagrange, Hermite-Fejer and Shepard type, also operators of stochastic type, convolution type, wavelet type integral opera tors and singular integral operators, etc. We present also a sufficient general theory for GSPP to hold true. We provide a great variety of applications of GSPP to Approximation Theory and many other fields of mathemat ics such as Functional analysis, and outside of mathematics, fields such as computer-aided geometric design (CAGD). Most of the time GSPP meth ods are optimal. Various moduli of smoothness are intensively involved in Part II. Therefore, methods from Part I can be used to calculate exactly the error of global smoothness preservation. It is the first time in the literature that a book has studied GSPP.
Advances In Summability And Approximation Theory
DOWNLOAD
FREE 30 Days
Author : S. A. Mohiuddine
language : en
Publisher: Springer
Release Date : 2018-12-30
Advances In Summability And Approximation Theory written by S. A. Mohiuddine and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-30 with Mathematics categories.
This book discusses the Tauberian conditions under which convergence follows from statistical summability, various linear positive operators, Urysohn-type nonlinear Bernstein operators and also presents the use of Banach sequence spaces in the theory of infinite systems of differential equations. It also includes the generalization of linear positive operators in post-quantum calculus, which is one of the currently active areas of research in approximation theory. Presenting original papers by internationally recognized authors, the book is of interest to a wide range of mathematicians whose research areas include summability and approximation theory. One of the most active areas of research in summability theory is the concept of statistical convergence, which is a generalization of the familiar and widely investigated concept of convergence of real and complex sequences, and it has been used in Fourier analysis, probability theory, approximation theory and in other branches of mathematics. The theory of approximation deals with how functions can best be approximated with simpler functions. In the study of approximation of functions by linear positive operators, Bernstein polynomials play a highly significant role due to their simple and useful structure. And, during the last few decades, different types of research have been dedicated to improving the rate of convergence and decreasing the error of approximation.
Approximation Theory Sequence Spaces And Applications
DOWNLOAD
FREE 30 Days
Author : S. A. Mohiuddine
language : en
Publisher: Springer Nature
Release Date : 2022-12-07
Approximation Theory Sequence Spaces And Applications written by S. A. Mohiuddine and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-07 with Mathematics categories.
This book publishes original research chapters on the theory of approximation by positive linear operators as well as theory of sequence spaces and illustrates their applications. Chapters are original and contributed by active researchers in the field of approximation theory and sequence spaces. Each chapter describes the problem of current importance and summarizes ways of their solution and possible applications which improve the current understanding pertaining to sequence spaces and approximation theory. The presentation of the articles is clear and self-contained throughout the book.
Computation And Approximation
DOWNLOAD
FREE 30 Days
Author : Vijay Gupta
language : en
Publisher: Springer Nature
Release Date : 2021-11-29
Computation And Approximation written by Vijay Gupta and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-29 with Mathematics categories.
This brief studies recent work conducted on certain exponential type operators and other integral type operators. It consists of three chapters: the first on exponential type operators, the second a study of some modifications of linear positive operators, and the third on difference estimates between two operators. It will be of interest to students both graduate and undergraduate studying linear positive operators and the area of approximation theory.