Algebraic Approximation: A Guide to Past and Current Solutions PDF Download
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Author: Jorge Bustamante
Publisher: Springer Science & Business Media
ISBN: 3034801947
Category : Mathematics
Languages : en
Pages : 212
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Book Description
This book contains an exposition of several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. In addition, some facts concerning trigonometric approximation that are necessary for motivation and comparisons are included. The selection of papers that are referenced and discussed document some trends in polynomial approximation from the 1950s to the present day.
Author: Jorge Bustamante
Publisher: Springer Science & Business Media
ISBN: 3034801947
Category : Mathematics
Languages : en
Pages : 212
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Book Description
This book contains an exposition of several results related with direct and converse theorems in the theory of approximation by algebraic polynomials in a finite interval. In addition, some facts concerning trigonometric approximation that are necessary for motivation and comparisons are included. The selection of papers that are referenced and discussed document some trends in polynomial approximation from the 1950s to the present day.
Author: C. K. Chui
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 376
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Book Description
Author: Sorin G. Gal
Publisher: Springer Science & Business Media
ISBN: 0817647031
Category : Mathematics
Languages : en
Pages : 359
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Book 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, fluid mechanics, and engineering Contains many open problems to spur future research Rich and updated bibliography
Author: George A. Anastassiou
Publisher: Springer Science & Business Media
ISBN: 9780817641511
Category : Mathematics
Languages : en
Pages : 554
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Book Description
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.
Author: Stephen D. Casey
Publisher: Springer Nature
ISBN: 3031411307
Category : Mathematics
Languages : en
Pages : 580
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Book Description
During his long and distinguished career, J. Rowland Higgins (1935-2020) made a substantial impact on many mathematical fields through his work on sampling theory, his deep knowledge of its history, and his service to the community. This volume is a tribute to his work and legacy, featuring chapters written by distinguished mathematicians that explore cutting-edge research in sampling, approximation, signal analysis, and other related areas. An introductory chapter provides a biography of Higgins that explores his rich and unique life, along with a bibliography of his papers; a brief history of the SampTA meetings – of which he was a Founding Member – is also included. The remaining articles are grouped into four sections – classical sampling, theoretical extensions, frame theory, and applications of sampling theory – and explore Higgins’ contributions to these areas, as well as some of the latest developments.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 500
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Book Description
Author: D. Bainov
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112314093
Category : Mathematics
Languages : en
Pages : 236
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Book Description
No detailed description available for "Proceedings of the Third International Colloquium on Numerical Analysis".
Author: D. Bainov
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112314115
Category : Mathematics
Languages : en
Pages : 160
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Book Description
No detailed description available for "Proceedings of the First International Colloquium on Numerical Analysis".
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 872
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Book Description
Author: Angela Slavova
Publisher: Springer Nature
ISBN: 3031214846
Category : Mathematics
Languages : en
Pages : 457
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Book Description
This book convenes peer-reviewed, selected papers presented at the Ninth International Conference New Trends in the Applications of Differential Equations in Sciences (NTADES) held in Sozopol, Bulgaria, June 17–20, 2022. The works are devoted to many applications of differential equations in different fields of science. A number of phenomena in nature (physics, chemistry, biology) and in society (economics) result in problems leading to the study of linear and nonlinear differential equations, stochastic equations, statistics, analysis, numerical analysis, optimization, and more. The main topics are presented in the five parts of the book - applications in mathematical physics, mathematical biology, financial mathematics, neuroscience, and fractional analysis. In this volume, the reader will find a wide range of problems concerning recent achievements in both theoretical and applied mathematics. The main goal is to promote the exchange of new ideas and research between scientists, who develop and study differential equations, and researchers, who apply them for solving real-life problems. The book promotes basic research in mathematics leading to new methods and techniques useful for applications of differential equations. The NTADES 2022 conference was organized in cooperation with the Society of Industrial and Applied Mathematics (SIAM), the major international organization for Industrial and Applied Mathematics and for the promotion of interdisciplinary collaboration between applied mathematics and science, engineering, finance, and neuroscience.
