A Bibliography On Approximation Of Functions By Bernstein Type Operators

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Approximation By Complex Bernstein And Convolution Type Operators

Author : Sorin G Gal
Publisher : World Scientific
ISBN 13 : 9814466972
Total Pages : 350 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Approximation By Complex Bernstein And Convolution Type Operators by : Sorin G Gal

Download or read book Approximation By Complex Bernstein And Convolution Type Operators written by Sorin G Gal and published by World Scientific. This book was released on 2009-08-11 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: The monograph, as its first main goal, aims to study the overconvergence phenomenon of important classes of Bernstein-type operators of one or several complex variables, that is, to extend their quantitative convergence properties to larger sets in the complex plane rather than the real intervals. The operators studied are of the following types: Bernstein, Bernstein—Faber, Bernstein-Butzer, q-Bernstein, Bernstein-Stancu, Bernstein-Kantorovich, Favard-Szász-Mirakjan, Baskakov and Balázs-Szabados.The second main objective is to provide a study of the approximation and geometric properties of several types of complex convolutions: the de la Vallée Poussin, Fejér, Riesz-Zygmund, Jackson, Rogosinski, Picard, Poisson-Cauchy, Gauss-Weierstrass, q-Picard, q-Gauss-Weierstrass, Post-Widder, rotation-invariant, Sikkema and nonlinear. Several applications to partial differential equations (PDEs) are also presented.Many of the open problems encountered in the studies are proposed at the end of each chapter. For further research, the monograph suggests and advocates similar studies for other complex Bernstein-type operators, and for other linear and nonlinear convolutions.

Trends and Applications in Constructive Approximation

Author : Detlef H. Mache
Publisher : Springer Science & Business Media
ISBN 13 : 3764373563
Total Pages : 300 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Trends and Applications in Constructive Approximation by : Detlef H. Mache

Download or read book Trends and Applications in Constructive Approximation written by Detlef H. Mache and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributions from international experts in the fields of constructive approximation. This area has reached out to encompass the computational and approximation-theoretical aspects of various interesting fields in applied mathematics.

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

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.

Spline Functions on Triangulations

Author : Ming-Jun Lai
Publisher : Cambridge University Press
ISBN 13 : 0521875927
Total Pages : 28 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Spline Functions on Triangulations by : Ming-Jun Lai

Download or read book Spline Functions on Triangulations written by Ming-Jun Lai and published by Cambridge University Press. This book was released on 2007-04-19 with total page 28 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive graduate text offering a detailed mathematical treatment of polynomial splines on triangulations.

Handbook of Splines

Author : Gheorghe Micula
Publisher : Springer Science & Business Media
ISBN 13 : 9401153388
Total Pages : 622 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Handbook of Splines by : Gheorghe Micula

Download or read book Handbook of Splines written by Gheorghe Micula and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to give a comprehensive introduction to the theory of spline functions, together with some applications to various fields, emphasizing the significance of the relationship between the general theory and its applications. At the same time, the goal of the book is also to provide new ma terial on spline function theory, as well as a fresh look at old results, being written for people interested in research, as well as for those who are interested in applications. The theory of spline functions and their applications is a relatively recent field of applied mathematics. In the last 50 years, spline function theory has undergone a won derful development with many new directions appearing during this time. This book has its origins in the wish to adequately describe this development from the notion of 'spline' introduced by 1. J. Schoenberg (1901-1990) in 1946, to the newest recent theories of 'spline wavelets' or 'spline fractals'. Isolated facts about the functions now called 'splines' can be found in the papers of L. Euler, A. Lebesgue, G. Birkhoff, J.

Topics in Multivariate Approximation

Author : C. K. Chui
Publisher : Elsevier
ISBN 13 : 1483271005
Total Pages : 346 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Topics in Multivariate Approximation by : C. K. Chui

Download or read book Topics in Multivariate Approximation written by C. K. Chui and published by Elsevier. This book was released on 2014-05-10 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in Multivariate Approximation contains the proceedings of an international workshop on multivariate approximation held at the University of Chile in Santiago, Chile, on December 15-19, 1986. Leading researchers in the field discussed several problem areas related to multivariate approximation and tackled topics ranging from multivariate splines and fitting of scattered data to tensor approximation methods and multivariate polynomial approximation. Numerical grid generation and finite element methods were also explored, along with constrained interpolation and smoothing. Comprised of 22 chapters, this book first describes the application of Boolean methods of approximation in combination with the theory of right invertible operators to bivariate Fourier expansions. The reader is then introduced to ill-posed problems in multivariate approximation; interpolation of scattered data by radial functions; and shape-preserving surface interpolation. Subsequent chapters focus on approximation by harmonic functions; numerical generation of nested series of general triangular grids; triangulation methods; and inequalities arising from best local approximations in rectangles. A bibliography of multivariate approximation concludes the book. This monograph will be of interest to mathematicians.

Computational Methods And Function Theory 1997 - Proceedings Of The Third Cmft Conference

Author : Nicolas Papamichael
Publisher : World Scientific
ISBN 13 : 9814544396
Total Pages : 666 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Computational Methods And Function Theory 1997 - Proceedings Of The Third Cmft Conference by : Nicolas Papamichael

Download or read book Computational Methods And Function Theory 1997 - Proceedings Of The Third Cmft Conference written by Nicolas Papamichael and published by World Scientific. This book was released on 1999-04-14 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains refereed state-of-the-art research articles and extensive surveys on the various aspects of interaction of complex variables and scientific computation as well as on related areas such as function theory and approximation theory.

Computation and Approximation

Author : Vijay Gupta
Publisher : Springer Nature
ISBN 13 : 3030855635
Total Pages : 107 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Computation and Approximation by : Vijay Gupta

Download or read book Computation and Approximation written by Vijay Gupta and published by Springer Nature. This book was released on 2021-11-29 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Computation of Curves and Surfaces

Author : Wolfgang Dahmen
Publisher : Springer Science & Business Media
ISBN 13 : 9400920172
Total Pages : 537 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Computation of Curves and Surfaces by : Wolfgang Dahmen

Download or read book Computation of Curves and Surfaces written by Wolfgang Dahmen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assembled here is a collection of articles presented at a NATO ADVANCED STU DY INSTITUTE held at Puerto de la Cruz, Tenerife, Spain during the period of July 10th to 21st, 1989. In addition to the editors of these proceedings Professor Larry L. Schumaker from Vanderbilt University, Nashville, Tennessee, served as a member of the international organizing committee. The contents of the contribu tions fall within the heading of COMPUTATION OF CURVES AND SURFACES and therefore address mathematical and computational issues pertaining to the dis play, modeling, interrogation and representation of complex geometrical objects in various scientific and technical environments. As is the intent of the NATO ASI program the meeting was two weeks in length and the body of the scientific activities was organized around prominent experts. Each of them presented lectures on his current research activity. We were fortunate to have sixteen distinguished invited speakers representing nine NATO countries: W. Bohm (Federal Republic of Germany), C. de Boor (USA), C.K. Chui (USA), W. Dahmen (Federal Republic of Germany), F. Fontanella (Italy), M. Gasca (Spain), R. Goldman (Canada), T.N.T. Goodman (UK), J.A. Gregory (UK), C. Hoffman (USA), J. Hoschek (Federal Republic of Germany), A. Le Mehaute (France), T. Lyche (Norway), C.A. Micchelli (USA), 1.1. Schumaker (USA), C. Traas (The Netherlands). The audience consisted of both young researchers as well as established scientists from twelve NATO countries and several non-NATO countries.

Approximation Theory V

Author : C. K. Chui
Publisher :
ISBN 13 :
Total Pages : 680 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Approximation Theory V by : C. K. Chui

Download or read book Approximation Theory V written by C. K. Chui and published by . This book was released on 1986 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Curves and Surfaces for CAGD

Author : Gerald E. Farin
Publisher : Morgan Kaufmann
ISBN 13 : 1558607374
Total Pages : 522 pages
Book Rating : 4.5/5 (586 download)

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Book Synopsis Curves and Surfaces for CAGD by : Gerald E. Farin

Download or read book Curves and Surfaces for CAGD written by Gerald E. Farin and published by Morgan Kaufmann. This book was released on 2002 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preface -- Chapter 1 P. B̌ezier: How a Simple System Was Born -- Chapter 2 Introductory Material -- Chapter 3 Linear Interpolation -- Chapter 4 The de Casteljau Algorithm -- Chapter 5 The Bernstein Form of a B̌ezier Curve -- Chapter 6 B̌ezier Curve Topics -- Chapter 7 Polynomial Curve Constructions -- Chapter 8 B-Spline Curves -- Chapter 9 Constructing Spline Curves -- Chapter 10 W. Boehm: Differential Geometry I -- Chapter 11 Geometric Continuity -- Chapter 12 ConicSections -- Chapter 13 Rational B̌ezier and B-Spline Curves -- Chapter 14 Tensor Product Patches -- Chapter 15 Constructing Polynomial Patches -- Chapter 16 Composite Surfaces -- Chapter 17 B̌ezier Triangles -- Chapter 18 Practical Aspects of B̌ezier Triangles -- Chapter 19 W. Boehm: Differential Geometry II -- Chapter 20 GeometricContinuityforSurfaces -- Chapter 21 Surfaces with Arbitrary Topology -- Chapter 22 Coons Patches -- Chapter 23 Shape -- Chapter 24 Evaluation of Some Methods -- Appendix A Quick Reference of Curve ...

Approximation Theory IV

Author : C. K. Chui
Publisher :
ISBN 13 :
Total Pages : 816 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Approximation Theory IV by : C. K. Chui

Download or read book Approximation Theory IV written by C. K. Chui and published by . This book was released on 1983 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Sequence Transformations

Author : Jean-Paul Delahaye
Publisher : Springer Science & Business Media
ISBN 13 : 3642613470
Total Pages : 262 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis Sequence Transformations by : Jean-Paul Delahaye

Download or read book Sequence Transformations written by Jean-Paul Delahaye and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book gives a very clear and concise summary of the important fields of sequence transformations and convergence acceleration methods. Some of the outstanding features are: - precise definitions of algorithmic sequence transformations, - a study of the power of sequence transformations, - proof of negative results on acceleration methods (namely, that some sequence families are not accelerable), - new algorithms for convergence acceleration (in particular automatic selection procedures). For researchers and graduate students working in or with convergence acceleration methods and sequence transformations, this book is sure to become an important tool. This book is a contribution to the theory and practice of convergence acceleration methods. It gives a new survey point of view on the subject, with positive results (new method of acceleration) and negative results (proofs that some sequence families are not accelerable).

Advances in Pure and Applied Algebra

Author : Ratnesh Kumar Mishra
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110785803
Total Pages : 170 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Advances in Pure and Applied Algebra by : Ratnesh Kumar Mishra

Download or read book Advances in Pure and Applied Algebra written by Ratnesh Kumar Mishra and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-04-03 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume documents the contributions presented at the CONIAPS XXVII International Conference on Recent Advances in Pure and Applied Algebra. The entries focus on modern trends and techniques in various branches of pure and applied Algebra and highlight their applications in coding, cryptography, graph, and fuzzy theory. The book comprised a total of eighteen chapters, among which the first fourteen chapters are devoted to Algebra and related topics, and the last four chapters are included applied mathematics parts. The chapters present the latest research work being done on the frontiers of the various branches of algebra as well as showcase the cross-fertilization of the ideas and connection among these branches.Covering a broad range of topics in pure and applied Algebra, this volume would appeal to a wide spectrum of the researcher in Mathematics. The main aim of this monograph is to contribute to the development of pure and applied Algebra and hence we purposely sought a cross-section of topics in Algebra and encouraged expository presentations and research papers that provide an innovative link between research areas of Algebra and the field of their applications. This volume will be useful not only to experts but also to beginners of research in algebras and related topics.

Progress in Approximation Theory and Applicable Complex Analysis

Author : Narendra Kumar Govil
Publisher : Springer
ISBN 13 : 331949242X
Total Pages : 541 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Progress in Approximation Theory and Applicable Complex Analysis by : Narendra Kumar Govil

Download or read book Progress in Approximation Theory and Applicable Complex Analysis written by Narendra Kumar Govil and published by Springer. This book was released on 2017-04-03 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: Current and historical research methods in approximation theory are presented in this book beginning with the 1800s and following the evolution of approximation theory via the refinement and extension of classical methods and ending with recent techniques and methodologies. Graduate students, postdocs, and researchers in mathematics, specifically those working in the theory of functions, approximation theory, geometric function theory, and optimization will find new insights as well as a guide to advanced topics. The chapters in this book are grouped into four themes; the first, polynomials (Chapters 1 –8), includes inequalities for polynomials and rational functions, orthogonal polynomials, and location of zeros. The second, inequalities and extremal problems are discussed in Chapters 9 –13. The third, approximation of functions, involves the approximants being polynomials, rational functions, and other types of functions and are covered in Chapters 14 –19. The last theme, quadrature, cubature and applications, comprises the final three chapters and includes an article coauthored by Rahman. This volume serves as a memorial volume to commemorate the distinguished career of Qazi Ibadur Rahman (1934–2013) of the Université de Montréal. Rahman was considered by his peers as one of the prominent experts in analytic theory of polynomials and entire functions. The novelty of his work lies in his profound abilities and skills in applying techniques from other areas of mathematics, such as optimization theory and variational principles, to obtain final answers to countless open problems.

Overconvergence in Complex Approximation

Author : Sorin G. Gal
Publisher : Springer Science & Business Media
ISBN 13 : 1461470986
Total Pages : 206 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Overconvergence in Complex Approximation by : Sorin G. Gal

Download or read book Overconvergence in Complex Approximation written by Sorin G. Gal and published by Springer Science & Business Media. This book was released on 2014-07-08 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with the quantitative overconvergence phenomenon in complex approximation by various operators. The book is divided into three chapters. First, the results for the Schurer-Faber operator, Beta operators of first kind, Bernstein-Durrmeyer-type operators and Lorentz operator are presented. The main focus is on results for several q-Bernstein kind of operators with q > 1, when the geometric order of approximation 1/qn is obtained not only in complex compact disks but also in quaternion compact disks and in other compact subsets of the complex plane. The focus then shifts to quantitative overconvergence and convolution overconvergence results for the complex potentials generated by the Beta and Gamma Euler's functions. Finally quantitative overconvergence results for the most classical orthogonal expansions (of Chebyshev, Legendre, Hermite, Laguerre and Gegenbauer kinds) attached to vector-valued functions are presented. Each chapter concludes with a notes and open problems section, thus providing stimulation for further research. An extensive bibliography and index complete the text. This book is suitable for researchers and graduate students working in complex approximation and its applications, mathematical analysis and numerical analysis.