Linear Operators and Approximation / Lineare Operatoren und Approximation

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Author :
Publisher : Birkhäuser
ISBN 13 : 3034872836
Total Pages : 499 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Linear Operators and Approximation / Lineare Operatoren und Approximation by : Bautzer

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.

Linear Operators and Approximation II

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Publisher :
ISBN 13 :
Total Pages : 616 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Linear Operators and Approximation II by : Paul Leo Butzer

Download or read book Linear Operators and Approximation II written by Paul Leo Butzer and published by . This book was released on 1974 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Korovkin-type Approximation Theory and Its Applications

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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.

Semigroups of Linear Operators and Applications

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Publisher : Courier Dover Publications
ISBN 13 : 048681257X
Total Pages : 321 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Semigroups of Linear Operators and Applications by : Jerome A. Goldstein

Download or read book Semigroups of Linear Operators and Applications written by Jerome A. Goldstein and published by Courier Dover Publications. This book was released on 2017-05-17 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced graduate-level treatment of semigroup theory explores semigroups of linear operators and linear Cauchy problems. The text features challenging exercises and emphasizes motivation, heuristics, and further applications. 1985 edition.

Multivariate Approximation Theory II

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Publisher : Birkhäuser
ISBN 13 : 3034871899
Total Pages : 411 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Multivariate Approximation Theory II by : Schempp

Download or read book Multivariate Approximation Theory II written by Schempp and published by Birkhäuser. This book was released on 2012-12-06 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Third International Symposium on Hultivariate Approximation Theory was held at the Oberwolfach!1athematical Research Insti tute, Black Forest, February 8-12, 1982. The preceding conferen ces on this topic were held in 1976* and 1979**. The conference brought together 50 mathematicians from 14 coun tries. These Proceedings form arecord of most of the papers pre sented at the Symposium. The topics treated cover different problems on multivariate approximation theory such as new results concerning approxima tion by polynomials in Sobolev spaces, biorthogonal systems and orthogonal series of functions in several variables, multivariate spline functions, group theoretic and functional analytic methods, positive linear operators, error estimates for approximation procedures and cubature formulae, Boolean methods in multivari ate interpolation and the numerical application of summation procedures. Special emphasis was posed on the application of multivariate approximation in various fields of science. One mathematician was sorely missed at the Symposium. Professor Arthur Sard who had actively taken part in the earlier conferen ces passed away in August of 1980. Since he was a friend of many of the participants, the editors wish to dedicate these Procee dings to the memory of this distinguished mathematician. Abrief appreciation of his life and mathematical work appears as well *"Constructive Theory of Functions of Several Variables". Edited by w. Schempp and Karl Zeller. Lecture Notes in 1-1athematics, Vol

One-parameter Semigroups of Positive Operators

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Publisher : Springer
ISBN 13 : 3540397914
Total Pages : 468 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis One-parameter Semigroups of Positive Operators by : Wolfgang Arendt

Download or read book One-parameter Semigroups of Positive Operators written by Wolfgang Arendt and published by Springer. This book was released on 2006-11-14 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spectral Approximation of Linear Operators

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Publisher : SIAM
ISBN 13 : 0898719992
Total Pages : 482 pages
Book Rating : 4.8/5 (987 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 2011-05-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: New York: Academic Press, 1983.

Approximation and Computation in Science and Engineering

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Publisher : Springer Nature
ISBN 13 : 3030841227
Total Pages : 934 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Approximation and Computation in Science and Engineering by : Nicholas J. Daras

Download or read book Approximation and Computation in Science and Engineering written by Nicholas J. Daras and published by Springer Nature. This book was released on 2022-05-05 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, extensive research has been conducted by eminent mathematicians and engineers whose results and proposed problems are presented in this new volume. It is addressed to graduate students, research mathematicians, physicists, and engineers. Individual contributions are devoted to topics of approximation theory, functional equations and inequalities, fixed point theory, numerical analysis, theory of wavelets, convex analysis, topology, operator theory, differential operators, fractional integral operators, integro-differential equations, ternary algebras, super and hyper relators, variational analysis, discrete mathematics, cryptography, and a variety of applications in interdisciplinary topics. Several of these domains have a strong connection with both theories and problems of linear and nonlinear optimization. The combination of results from various domains provides the reader with a solid, state-of-the-art interdisciplinary reference to theory and problems. Some of the works provide guidelines for further research and proposals for new directions and open problems with relevant discussions.

Linear Spaces and Approximation / Lineare Räume und Approximation

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Publisher : Birkhäuser
ISBN 13 : 3034871805
Total Pages : 641 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Linear Spaces and Approximation / Lineare Räume und Approximation by : Butzer

Download or read book Linear Spaces and Approximation / Lineare Räume und Approximation written by Butzer and published by Birkhäuser. This book was released on 2013-03-08 with total page 641 pages. Available in PDF, EPUB and Kindle. Book excerpt: The publication of Oberwolfach conference books was initiated by Birkhauser Publishers in 1964 with the proceedings of the conference 'On Approximation Theory', conducted by P. L. Butzer (Aachen) and J. Korevaar (Amsterdam). Since that auspicious beginning, others of the Oberwolfach proceedings have appeared in Birkhauser's ISNM series. The present volume is the fifth * edited at Aachen in collaboration with an external institution. It once again ad dresses itself to the most recent results on approximation and operator theory, and includes 47 of the 48 lectures presented at Oberwolfach, as well as five articles subsequently submitted by V. A. Baskakov (Moscow), H. Esser (Aachen), G. Lumer (Mons), E. L. Stark (Aachen) and P. M. Tamrazov (Kiev). In addition, there is a section devoted to new and unsolved problems, based upon two special problem sessions augmented by later communications from the participants. Corresponding to the nature of the conference, the aim of the organizers was to solicit both specialized and survey papers, ranging in the broad area of classical and functional analysis, from approximation and interpolation theory to Fourier and harmonic analysis, and to the theory of function spaces and operators. The papers were supplemented by lectures on fields represented for the first time in our series of Oberwolfach Conferences, so for example, complex function theory or probability and sampling theory.

Numerische Methoden der Approximationstheorie/Numerical Methods of Approximation Theory

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Publisher : Birkhäuser
ISBN 13 : 3034876920
Total Pages : 326 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Numerische Methoden der Approximationstheorie/Numerical Methods of Approximation Theory by : Meinardus

Download or read book Numerische Methoden der Approximationstheorie/Numerical Methods of Approximation Theory written by Meinardus and published by Birkhäuser. This book was released on 2013-11-11 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: Der vorliegende Band stellt Vortragsmanuskripte einer am Mathematischen Forschungsinstitut, Oberwolfach, in der Zeit vom 25. bis 31. Mai 1975 veran stalteten Tagung zusammen, die unter der Leitung der Unterzeichner stand. Die letzten dieser Tagungen über numerische Methoden der Approximations theorie fanden 1971 und 1973 statt - der Schwerpunkt lag bei Fragen der Numerik von Algorithmen zur Darstellung von Funktionen -, ließen aber bereits ein wachsendes Interesse an Anwendungen erkennen. Die diesjährige Tagung war gekennzeichnet durch die Behandlung praktischer AufgabensteI lungen sowie durch die Einbeziehung der Anwendungen aus Nachbargebie ten bzw. die Verwendung der Methoden dieser Gebiete in der Approxima tionstheorie, insbesondere wurde auch auf die Beziehungen von Optimierung und Kontrolltheorie zu speziellen approximationstheoretischen Aufgaben eingegangen. Der starke Einfluß auf die numerischen Methoden zur Behand lung von Differentialgleichungen wurde etwa bei der Methode der finiten Elemente oder bei Kollokationsaufgaben deutlich. So ist zu hoffen, daß auch diese Tagung dazu beigetragen hat, Theorie und Anwendungen wieder stärker zu verbinden. Die spezifische Atmosphäre des Forschungsinstituts stimulierte einen intensi ven, durch die breite internationale Streuung der Tagungsteilnehmer verstärk ten, fruchtbaren Gedankenaustausch. Zum Erfolg der Tagung trug - wie immer - die hervorragende Betreuung durch die Mitarbeiter und Angestellten des Forschungsinstituts und das verständnisvolle Entgegenkommen von Herrn Kollege Barner bei. Unser besonderer Dank gilt ferner dem Birkhäuser Verlag für die sehr gute Ausstattung des Buches. L. COLLATZ, G. MEINARDUS, H. WERNER Inhaltsverzeichnis ANSELONE, P.M., LEE, J.W. : Double Approximation Methods for the Solution of Fredholm Integral Equations ...

Linear Operator Equations: Approximation And Regularization

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Publisher : World Scientific
ISBN 13 : 981446967X
Total Pages : 264 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Linear Operator Equations: Approximation And Regularization by : M Thamban Nair

Download or read book Linear Operator Equations: Approximation And Regularization written by M Thamban Nair and published by World Scientific. This book was released on 2009-05-05 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.

Library of Congress Catalogs

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Publisher :
ISBN 13 :
Total Pages : 1036 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Library of Congress Catalogs by : Library of Congress

Download or read book Library of Congress Catalogs written by Library of Congress and published by . This book was released on 1976 with total page 1036 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Bernstein Operators and Their Properties

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Publisher : Birkhäuser
ISBN 13 : 3319554026
Total Pages : 423 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 423 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.

Monographic Series

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Publisher :
ISBN 13 :
Total Pages : 886 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Monographic Series by : Library of Congress

Download or read book Monographic Series written by Library of Congress and published by . This book was released on 1975 with total page 886 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Markov Operators, Positive Semigroups and Approximation Processes

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110386410
Total Pages : 399 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Markov Operators, Positive Semigroups and Approximation Processes by : Francesco Altomare

Download or read book Markov Operators, Positive Semigroups and Approximation Processes written by Francesco Altomare and published by Walter de Gruyter GmbH & Co KG. This book was released on 2015-12-18 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph gives a detailed account of a theory which is mainly concerned with certain classes of degenerate differential operators, Markov semigroups and approximation processes. These mathematical objects are generated by arbitrary Markov operators acting on spaces of continuous functions defined on compact convex sets; the study of the interrelations between them constitutes one of the distinguishing features of the book. Among other things, this theory provides useful tools for studying large classes of initial-boundary value evolution problems, the main aim being to obtain a constructive approximation to the associated positive C0-semigroups by means of iterates of suitable positive approximating operators. As a consequence, a qualitative analysis of the solutions to the evolution problems can be efficiently developed. The book is mainly addressed to research mathematicians interested in modern approximation theory by positive linear operators and/or in the theory of positive C0-semigroups of operators and evolution equations. It could also serve as a textbook for a graduate level course.

Interpolation of Linear Operators

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Publisher : American Mathematical Soc.
ISBN 13 : 0821831763
Total Pages : 390 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Interpolation of Linear Operators by : S. G. Krein

Download or read book Interpolation of Linear Operators written by S. G. Krein and published by American Mathematical Soc.. This book was released on 2002-10-21 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Approximation of Continuous Functions by Positive Linear Operators

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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: