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Thursday, July 16, 2020 | History

7 edition of Shape-preserving approximation by real and complex polynomials found in the catalog.

Shape-preserving approximation by real and complex polynomials

by Sorin G. Gal

  • 12 Want to read
  • 26 Currently reading

Published by Birkhäuser in Boston .
Written in English

    Subjects:
  • Approximation theory,
  • Bernstein polynomials,
  • Multivariate analysis

  • Edition Notes

    Includes bibliographical references and index.

    StatementSorin G. Gal.
    Classifications
    LC ClassificationsQA221 .G34 2008
    The Physical Object
    Paginationxiii, 352 p. ;
    Number of Pages352
    ID Numbers
    Open LibraryOL23234203M
    ISBN 100817647023, 0817647031
    ISBN 109780817647025, 9780817647032
    LC Control Number2007942382

    Multivariate Approximation: From Cagd To Wavelets - Proceedings Of The International Workshop - Ebook written by Jetter Kurt, Utreras F I. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Multivariate Approximation: From Cagd To Wavelets - Proceedings Of The International Workshop. AUTHOR BOOK TITLE SERIES TITLE Aalen, O. / Borgan, O. / Gjessing, H. Survival and Event History Analysis Statistics for Biology and Health Abramenko, P. / Brown, K. Buildings Graduate Texts in Mathematics Abramovich, D. / Mariño, M. / Thaddeus, M. / Vakil, R. Enumerative Invariants in Algebraic Geometry and String Theory Lecture Notes in.

      In the present paper we estimate a Voronovskaja type quantitative estimate for a certain type of complex Durrmeyer polynomials, which is different from those studied previously in the literature. GAL, S. G.: Shape Preserving Approximation by Real and Complex Polynomials, Mathematica Slovaca, Vol Issue 5, Pages –, ISSN Cited by: 5. Part 1, “Development of Algorithms,” defines the theoretical framework for the algorithms discussed throughout the book, and its sections cover spline approximation and smoothing, spline interpolation and shape preservation, multivariate interpolation, least squares methods, rational approximation, complex and nonlinear approximation, CAD.

    Shape-preserving approximation by real and complex polynomials | Sorin G. Gal, George A. Anastassiou | digital library Bookfi | BookFi - BookFinder. Download books for free. Find books. Polynomials and splines can be expressed as f(x) ˇ n å i=0 a iT i(x) T i(x): the basis functions that de–ne the class of functions used, e.g., for regular polynomials: T i(x) = xi. a i: the coe¢ cients that pin down the particular approximation.


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Shape-preserving approximation by real and complex polynomials by Sorin G. Gal Download PDF EPUB FB2

Shape-Preserving Approximation by Real and Complex Polynomials contains many open problems at the end of each chapter to stimulate future research along with a rich and updated bibliography surveying the vast literature. The text will be useful to graduate students and researchers interested in approximation theory, mathematical analysis.

Buy Shape-Preserving Approximation by Real and Complex Polynomials on FREE SHIPPING on qualified orders Shape-Preserving Approximation by Real and Complex Polynomials: Anastassiou, George A., Gal, Sorin G.: : BooksCited by: This monograph presents the first comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables.

Such approximation methods are useful in many problems that arise in science and engineering and require an optimal mathematical representation of physical reality.

Description: First comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables Of interest to grad students and researchers in approximation theory, mathematical analysis, numerical analysis, Computer Aided Geometric Design, robotics, data fitting, chemistry, Shape-preserving approximation by real and complex polynomials book mechanics.

Get this from a library. Shape-preserving approximation by real and complex polynomials. [Sorin G Gal] -- This monograph presents the first comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several.

In this chapter we present the main results concerning shape-preserving approximation by polynomials for real functions of one real variable, defined on compact subintervals of the real axis. There is a very rich literature dedicated to this topic that would suffice to write a separate book.

Shape-Preserving Approximation by Real and Complex Polynomials contains many open problems at the end of each chapter to stimulate future research along with a rich and updated bibliography. We are going to survey recent developments and achievements in shape-preserving approximation by polynomials.

We wish to approximate a function f defined on a finite interval, say [−1,1], while preserving certain intrinsic “shape” properties. To be specific we demand that the approximation process preserves properties of f, like its sign in all or part of the interval, its monotonicity Cited by: approximation or (rarely) an isogeometric approximation.

The problems of such type arose in chemistry, VLSI, CAD/CAM, robotic, etc. In this paper, we give a survey of some shape preserving approximation methods. The outline of this paper is the following: interpolation by polynomials and splines that preserve.

Gal divided the book in four chapters: firstly he talked about the shape-preserving approximation and interpolation of real functions of one real variable by real polynomials, secondly he discussed the shape-preserving approximation of real functions of several real variables by multivariate real polynomials; thirdly he discussed shape Cited by: CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda).

We are going to survey recent developments and achievements in shape preserving approximation by polynomials. We wish to approximate a function f defined on a finite interval, say [\Gamma1; 1], while preserving certain intrinsic "shape" properties.

To be specific we demand that the approximation process preserve. Starting from the study of the Shepard nonlinear operator of max-prod type by Bede et al. (, ), in the book by Gal (), Open Problempages –, the Bernstein max-prod-type operator is introduced and the question of the approximation order by this operator is raised.

In recent paper, Bede and Gal by using a very complicated method to this open question an answer is given. Uniform and Pointwise Shape Preserving Approximation by Algebraic Polynomials K.

Kopotun, D. Leviatan: A. Prymak and I. Shevchuk: Aug Abstract We survey developments, over the last thirty years, in the theory of Shape Preserving Ap-proximation (SPA) by algebraic polynomials on a nite interval. In this article, \shape" refers. This kind of approximation is called "shape-preserving approximation" and arises in computer-aided geometric design, robotics, chemistry, etc.

Typically, the input data is represented by a real or complex function (of one or several variables), and the output data is chosen to be in one of the classes polynomial, spline, or rational functions. The book also includes papers on a variety of current topics in Approximation Theory drawn from areas such as advances in kernel approximation with applications, approximation theory and algebraic geometry, multivariate splines for applications, practical function approximation, approximation of PDEs, wavelets and framelets with applications.

The first book describes spaces of functions: Sobolev, Lipschitz, Besov rearrangement-invariant function spaces, interpolation of operators. Then we have Weierstrass and best approximation theorems, properties of polynomials and of splines: inequalities, interpolation (also Birkhoff), zero properties.

In the theory of shape-preserving approximation by means of polynomials and splines the last 25 years have seen extensive research. The most significant results were summarized in [ 8, 9 ].

If a function has some shape properties, then it usually means that the element belongs to a cone : Maksim U. Kalmykov, Sergei P. Sidorov. Gal [8] divided the book in four chapters: firstly he talked about the shape-preserving approximation and interpolation of real functions of one real variable by real polynomials, secondly he discussed the shape-preserving approximation of real functions of several real variables by.

S.G. Gal, Shape-Preserving Approximation by Real and Complex Polynomials, DOI: / 1, c Birkh¨ auser Boston, a part of Springer Science+Business Media, LLC 1 2 1 Shape-Preserving Approximation by Real Univariate Polynomials.

The main result deals with some shape preserving approximation results for generalized polynomials for f:[−1,1]→X,when(X,≤) is a normed space endowed with a structure of a ordered linear space. We thus extend the classical result for the case of real functions of real variables in [3].

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Invited Addresses; Invited Paper.Overconvergence in Complex Approximation. Sorin G. Gal. 20 May Paperback. US$ Add to basket. Shape-Preserving Approximation by Real and Complex Polynomials. Sorin G. Gal. 01 Oct Hardback. US$ Add to basket. Global Smoothness and Shape Preserving Interpolation by Classical Operators.

Sorin G Gal. 21 Mar Shape-Preserving Approximation by Real and Complex Polynomials SORIN G. GAL, University of Oradea, Romania This monograph presents the fi rst comprehensive treatment in book form of shape-preserving approximation by real or complex polynomials in one or several variables.

Such approximation methods.