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Frontiers in Interpolation and Approximation

2006-07-20 Mathematics
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Release : 2006-07-20
Genre : Mathematics
Kind : eBook
Book Rating : 383/5 ( reviews)

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Book Synopsis Frontiers in Interpolation and Approximation by : N. K. Govil

Download or read book Frontiers in Interpolation and Approximation written by N. K. Govil. This book was released on 2006-07-20. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to the well-respected research mathematician Ambikeshwar Sharma, Frontiers in Interpolation and Approximation explores approximation theory, interpolation theory, and classical analysis. Written by authoritative international mathematicians, this book presents many important results in classical analysis, wavelets, and interpolation theory. Some topics covered are Markov inequalities for multivariate polynomials, analogues of Chebyshev and Bernstein inequalities for multivariate polynomials, various measures of the smoothness of functions, and the equivalence of Hausdorff continuity and pointwise Hausdorff-Lipschitz continuity of a restricted center multifunction. The book also provides basic facts about interpolation, discussing classes of entire functions such as algebraic polynomials, trigonometric polynomials, and nonperiodic transcendental entire functions. Containing both original research and comprehensive surveys, this book provides researchers and graduate students with important results of interpolation and approximation.

Rational Approximation and Interpolation

2006-11-14 Mathematics
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Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 134/5 ( reviews)

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Book Synopsis Rational Approximation and Interpolation by : P.R. Graves-Morris

Download or read book Rational Approximation and Interpolation written by P.R. Graves-Morris. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt:

Frontiers In Approximation Theory

2015-06-23 Mathematics
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Release : 2015-06-23
Genre : Mathematics
Kind : eBook
Book Rating : 110/5 ( reviews)

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Book Synopsis Frontiers In Approximation Theory by : George A Anastassiou

Download or read book Frontiers In Approximation Theory written by George A Anastassiou. This book was released on 2015-06-23. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents the author's work of the last five years in approximation theory. The chapters are self-contained and can be read independently. Readers will find the topics covered are diverse and advanced courses can be taught out of this book.The first part of the book is dedicated to fractional monotone approximation theory introduced for the first time by the author, taking the related ordinary theory of usual differentiation at the fractional differentiation level with polynomials and splines as approximators. The second part deals with the approximation by discrete singular operators of the Favard style, for example, of the Picard and Gauss-Weierstrass types. Then, it continues in a very detailed and extensive chapter on approximation by interpolating operators induced by neural networks, a connection to computer science. This book ends with the approximation theory and functional analysis on time scales, a very modern topic, detailing all the pros and cons of this method.The results in this book are expected to find applications in many areas of pure and applied mathematics. So far, very little is written about fractional approximation theory which is at its infancy. As such, it is suitable for researchers, graduate students, and performing seminars as well as an invaluable resource for all science libraries.

Interpolation and Extrapolation Optimal Designs V1

2016-03-31 Mathematics
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Release : 2016-03-31
Genre : Mathematics
Kind : eBook
Book Rating : 298/5 ( reviews)

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Book Synopsis Interpolation and Extrapolation Optimal Designs V1 by : Giorgio Celant

Download or read book Interpolation and Extrapolation Optimal Designs V1 written by Giorgio Celant. This book was released on 2016-03-31. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first of a series which focuses on the interpolation and extrapolation of optimal designs, an area with significant applications in engineering, physics, chemistry and most experimental fields. In this volume, the authors emphasize the importance of problems associated with the construction of design. After a brief introduction on how the theory of optimal designs meets the theory of the uniform approximation of functions, the authors introduce the basic elements to design planning and link the statistical theory of optimal design and the theory of the uniform approximation of functions. The appendices provide the reader with material to accompany the proofs discussed throughout the book.

Interpolation and Approximation by Rational Functions in the Complex Domain

1935-12-31 Mathematics
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Release : 1935-12-31
Genre : Mathematics
Kind : eBook
Book Rating : 200/5 ( reviews)

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Book Synopsis Interpolation and Approximation by Rational Functions in the Complex Domain by : J. L. Walsh

Download or read book Interpolation and Approximation by Rational Functions in the Complex Domain written by J. L. Walsh. This book was released on 1935-12-31. Available in PDF, EPUB and Kindle. Book excerpt: The present work is restricted to the representation of functions in the complex domain, particularly analytic functions, by sequences of polynomials or of more general rational functions whose poles are preassigned, the sequences being defined either by interpolation or by extremal properties (i.e. best approximation). Taylor's series plays a central role in this entire study, for it has properties of both interpolation and best approximation, and serves as a guide throughout the whole treatise. Indeed, almost every result given on the representation of functions is concerned with a generalization either of Taylor's series or of some property of Taylor's series--the title ``Generalizations of Taylor's Series'' would be appropriate.

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