Linear Operators And Approximation Lineare Operatoren Und Approximation

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Linear Operators and Approximation / Lineare Operatoren und Approximation

Author : Bautzer
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.

Approximation and Computation in Science and Engineering

Author : Nicholas J. Daras
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

Author : Butzer
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.

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

Spectral Approximation of Linear Operators

Author : Francoise Chatelin
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.

Anniversary Volume on Approximation Theory and Functional Analysis

Author : P. L. Butzer
Publisher : Birkhäuser
ISBN 13 : 3034854323
Total Pages : 601 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Anniversary Volume on Approximation Theory and Functional Analysis by : P. L. Butzer

Download or read book Anniversary Volume on Approximation Theory and Functional Analysis written by P. L. Butzer and published by Birkhäuser. This book was released on 2013-11-21 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: These Proceedings include 42 of the 49 invited conference papers, three papers sub mitted subsequently, and a report devoted to new and unsolved problems based on two special problem sessions and as augmented by later communications from the participants. In addition, there are four short accounts that emphasize the personality of the scholars to whom the proceedings are dedicated. Due to the large number of contributors, the length of the papers had to be restricted. This volume is again devoted to recent significant results obtained in approximation theory, harmonic analysis, functional analysis, and operator theory. The papers solicited include in addition survey articles that not only describe fundamental advances in their subfields, but many also emphasize basic interconnections between the various research areas. They tend to reflect the range of interests of the organizers and of their immediate colleagues and collaborators. The papers have been grouped according to subject matter into ten chapters. Chap ter I, on operator theory, is devoted to certain classes of operators such as contraction, hyponormal, and accretive operators, as well as to suboperators and semi groups of operators. Chapter II, on functional analysis, contains papers on function spaces, algebras, ideals, and generalized functions. Chapter III, on abstract approximation, is concerned with the comparison of approximation processes, the gliding hump method, certain inter polation spaces, and n-widths.

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:

Semigroups of Linear Operators and Applications

Author : Jerome A. Goldstein
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.

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.

Hausdorff Approximations

Author : Bl. Sendov
Publisher : Springer Science & Business Media
ISBN 13 : 9400906730
Total Pages : 380 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Hausdorff Approximations by : Bl. Sendov

Download or read book Hausdorff Approximations written by Bl. Sendov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi ..., si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point a1Ie.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Library of Congress Catalogs

Author : Library of Congress
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:

Fourier Analysis and Approximation

Author :
Publisher : Academic Press
ISBN 13 : 0080873537
Total Pages : 573 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Fourier Analysis and Approximation by :

Download or read book Fourier Analysis and Approximation written by and published by Academic Press. This book was released on 2011-09-21 with total page 573 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fourier Analysis and Approximation

Fourier Analysis and Approximation

Author : P.L. Butzer
Publisher : Birkhäuser
ISBN 13 : 3034874480
Total Pages : 565 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Fourier Analysis and Approximation by : P.L. Butzer

Download or read book Fourier Analysis and Approximation written by P.L. Butzer and published by Birkhäuser. This book was released on 2012-12-06 with total page 565 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the international conference on 'Harmonic Analysis and Integral Transforms', conducted by one of the authors at the Mathematical Research Institute in Oberwolfach (Black Forest) in August 1965, it was felt that there was a real need for a book on Fourier analysis stressing (i) parallel treatment of Fourier series and Fourier trans forms from a transform point of view, (ii) treatment of Fourier transforms in LP(lRn)_ space not only for p = 1 and p = 2, (iii) classical solution of partial differential equations with completely rigorous proofs, (iv) theory of singular integrals of convolu tion type, (v) applications to approximation theory including saturation theory, (vi) multiplier theory, (vii) Hilbert transforms, Riesz fractional integrals, Bessel potentials, (viii) Fourier transform methods on locally compact groups. This study aims to consider these aspects, presenting a systematic treatment of Fourier analysis on the circle as well as on the infinite line, and of those areas of approximation theory which are in some way or other related thereto. A second volume is in preparation which goes beyond the one-dimensional theory presented here to cover the subject for functions of several variables. Approximately a half of this first volume deals with the theories of Fourier series and of Fourier integrals from a transform point of view.

Approximation Theory

Author : George A. Anastassiou
Publisher : Springer Science & Business Media
ISBN 13 : 9780817641511
Total Pages : 554 pages
Book Rating : 4.6/5 (415 download)

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Book Synopsis Approximation Theory by : George A. Anastassiou

Download or read book Approximation Theory written by George A. Anastassiou and published by Springer Science & Business Media. This book was released on 1999-12-22 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Functional Analysis and Approximation

Author : Pier Luigi Papini
Publisher : Pitagora
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Functional Analysis and Approximation by : Pier Luigi Papini

Download or read book Functional Analysis and Approximation written by Pier Luigi Papini and published by Pitagora. This book was released on 1988 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

国立国会図書館所蔵科学技術関係欧文会議錄目錄

Author :
Publisher :
ISBN 13 :
Total Pages : 644 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis 国立国会図書館所蔵科学技術関係欧文会議錄目錄 by :

Download or read book 国立国会図書館所蔵科学技術関係欧文会議錄目錄 written by and published by . This book was released on 1979 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Markov Operators, Positive Semigroups and Approximation Processes

Author : Francesco Altomare
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.