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Author : Frans Schurer
Publisher :
ISBN 13 :
Total Pages : 79 pages
Book Rating : 4.:/5 (54 download)
Download or read book On linear positive operators in approximation theory. Proefschrift, etc written by Frans Schurer and published by . This book was released on 1965 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Radu Paltanea
Publisher : Springer Science & Business Media
ISBN 13 : 1461220580
Total Pages : 208 pages
Book Rating : 4.4/5 (612 download)
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
Author : Frans Schurer
Publisher :
ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.3/5 (91 download)
Download or read book On Linear Positive Operators in Approximation Theory written by Frans Schurer and published by . This book was released on 1965 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frans Schurer (Mathématicien).)
Publisher :
ISBN 13 :
Total Pages : 79 pages
Book Rating : 4.:/5 (13 download)
Download or read book On Linear Positive Operators in Approximation Theory written by Frans Schurer (Mathématicien).) and published by . This book was released on 1965 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ronald A. De Vore
Publisher : Springer
ISBN 13 : 3540379959
Total Pages : 298 pages
Book Rating : 4.5/5 (43 download)
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:
Author : Vijay Gupta
Publisher : Springer
ISBN 13 : 3319587951
Total Pages : 193 pages
Book Rating : 4.3/5 (195 download)
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 193 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.
Author : Vijay Gupta
Publisher : Springer
ISBN 13 : 3030194558
Total Pages : 96 pages
Book Rating : 4.0/5 (31 download)
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.
Author : Ronald A. De Vore
Publisher :
ISBN 13 : 9783662179765
Total Pages : 304 pages
Book Rating : 4.1/5 (797 download)
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:
Author : Pavel Petrovich Korovkin
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.3/5 (91 download)
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:
Author : Farzaneh Jannat
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (135 download)
Download or read book On Positive Linear Operators written by Farzaneh Jannat and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Approximation theory received much attention in the last century, and an intriguing area in this field is positive linear operators. This thesis is a literature survey on positive linear operators. We discuss some of the well-known examples of positive linear operators. Preserving $k$-monotonicity by positive linear operators is another interesting topic in this area. We are interested if $L_n(f;x)$ is $k$-monotone whenever function $f$ is $k$-monotone. For a sequence of positive linear operators $\{L_n(f;x)\}$, it is a natural question if this sequence converges to $f(x)$ and how fast is this convergence. We study the saturation of these operators. Usually, there is a relation between the rate of convergence and the smoothness of the function being approximated. If increasing smoothness of functions does not result in the increase of the degree of approximation, this phenomenon is called saturation. We discuss iteration of general positive linear operators and give numerical examples.
Author : Gunjan Agarwal
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.2/5 (243 download)
Download or read book Quantitative Estimates for Certain Positive Linear Operators written by Gunjan Agarwal and published by . This book was released on 2024-01-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The convergence behaviour of linear positive operators has been a prominent topic and many scholars have investigated it using a variety of methodologies for exactness. Approx- imation theory is primarily concerned with the investigation of several direct results such as the asymptotic formula, point-wise convergence and error estimates in simultaneous and ordinary approximation. These findings are necessary from a convergence standpoint. Dun- ham Jackson [103] proved algebraic and trigonometric polynomial direct theorems. Profes- sor Edmund Georg Hermann Landau, Jackson's supervisor, was the one who came up with the Big-O and small-o symbols. The asymptotic behaviour of a function is represented by these symbols. Because a function's rate of growth is known as its order, the letter 'O' or 'o' is utilised. As a result, the order of approximation is represented by these symbols. The crucial theorem proved by Weierstrass in 1885 made it possible to study some sorts of complicated functions by a simpler function with a suitable rate of approximation. Thus, linear positive operator approximation theory is based mostly on the "Weierstrass approxima- tion theorem," which states that "every continuous function defined on a closed and bounded interval may be uniformly approximated by a polynomial". Polynomials are among the most basic functions and computers can instantly evaluate polynomials. The Bernstein polyno- mials are used in the most typical proof of this well-known theorem. Additionally, Borislav Dechev Boyanov [33] was one of the pioneers in the field of mathematics to demonstrate the presence and originality of answers to numerous issues pertaining to approximation the- ory. Academician Blagovest Hristov Sendov, who served as his supervisor, visited Moscow State University in the early 1960s as new, interesting fields in approximation theory began to emerge. During this time, Sergei Natanovich Bernstein was still engaged in mathematical studies.
Author : Peter Richard Radatz
Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.:/5 (29 download)
Download or read book Linear Operators in Approximation Theory written by Peter Richard Radatz and published by . This book was released on 1974 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Nira Dyn
Publisher : World Scientific
ISBN 13 : 1783263040
Total Pages : 168 pages
Book Rating : 4.7/5 (832 download)
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.
Author : Bautzer
Publisher : Birkhäuser
ISBN 13 : 3034872836
Total Pages : 499 pages
Book Rating : 4.0/5 (348 download)
Download or read book Linear Operators and Approximation / Lineare Operatoren und Approximation written by Bautzer and published by Birkhäuser. This book was released on 2012-12-06 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings contain the lectures presented at the Conference on Linear Operators and Approximation held at the Oberwolfach Mathematical Research In stitute, August 14-22, 1971. There were thirty-eight such lectures while four addi tional papers, subsequently submitted in writing, are also included in this volume. Two of the three lectures presented by Russian mathematicians are rendered in English, the third in Russian. Furthermore, there is areport on new and unsolved problems based upon special problem sessions, with later communications from the participants. In fact, two of the papers inc1uded are devoted to solutions of some of the problems posed. The papers have been classified according to subject matter into five chapters, but it needs little emphasis that such thematic groupings are necessarily somewhat arbitrary. Thus Chapter I on Operator Theory is concerned with linear and non linear semi-groups, structure of single operators, unitary operators, spectral and ergodic theory. Chapter Il on Topics in Functional Analysis inc1udes papers on Riesz spaces, boundedness theorems, generalized limits, and distributions. Chapter III, entitled "Approximation in Abstract Spaces", ranges from characterizations of c1asses of functions in approximation theory to approximation-theoretical topics connected with extensions to Banach (or more general) spaces. Chapter IV contains papers on harmonic analysis in connection with approximation and, finally, Chapter V is devoted to approximation by splines, algebraic polynomials, rational functions, and to Pade approximation. A large part of the general editorial work connected with these proceedings was competently handled by Miss F. Feber, while G.
Author : Ram Kishore Singh Rathore
Publisher :
ISBN 13 :
Total Pages : 161 pages
Book Rating : 4.:/5 (63 download)
Download or read book Approximation of Unbounded Functions with Linear Positive Operators written by Ram Kishore Singh Rathore and published by . This book was released on 1974 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : S. B. Stechkin
Publisher : American Mathematical Soc.
ISBN 13 : 9780821830383
Total Pages : 220 pages
Book Rating : 4.8/5 (33 download)
Download or read book Approximation of Functions and Operators written by S. B. Stechkin and published by American Mathematical Soc.. This book was released on 1977 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers and articles about approximation theory.
Author : Barnabás Bede
Publisher : Springer
ISBN 13 : 3319341898
Total Pages : 468 pages
Book Rating : 4.3/5 (193 download)
Download or read book Approximation by Max-Product Type Operators written by Barnabás Bede and published by Springer. This book was released on 2016-08-08 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a broad treatment of developments in an area of constructive approximation involving the so-called "max-product" type operators. The exposition highlights the max-product operators as those which allow one to obtain, in many cases, more valuable estimates than those obtained by classical approaches. The text considers a wide variety of operators which are studied for a number of interesting problems such as quantitative estimates, convergence, saturation results, localization, to name several. Additionally, the book discusses the perfect analogies between the probabilistic approaches of the classical Bernstein type operators and of the classical convolution operators (non-periodic and periodic cases), and the possibilistic approaches of the max-product variants of these operators. These approaches allow for two natural interpretations of the max-product Bernstein type operators and convolution type operators: firstly, as possibilistic expectations of some fuzzy variables, and secondly, as bases for the Feller type scheme in terms of the possibilistic integral. These approaches also offer new proofs for the uniform convergence based on a Chebyshev type inequality in the theory of possibility. Researchers in the fields of approximation of functions, signal theory, approximation of fuzzy numbers, image processing, and numerical analysis will find this book most beneficial. This book is also a good reference for graduates and postgraduates taking courses in approximation theory.
