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Author: Joseph Leonard Walsh
Publisher:
ISBN:
Category : Integrals
Languages : en
Pages : 42
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Book Description
Results are derived relating continuity properties of f(z) on the boundary C of a region D to D f(z) - pn(z) pdS, p> 1, as a measure ofAPPROXIMATION. (Author).
Author: Joseph Leonard Walsh
Publisher:
ISBN:
Category : Integrals
Languages : en
Pages : 42
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Book Description
Results are derived relating continuity properties of f(z) on the boundary C of a region D to D f(z) - pn(z) pdS, p> 1, as a measure ofAPPROXIMATION. (Author).
Author: Joseph Leonard Walsh
Publisher:
ISBN:
Category : Analytic functions
Languages : en
Pages : 28
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Book Description
Author: Joseph Leonard Walsh
Publisher:
ISBN:
Category : Analytic functions
Languages : en
Pages : 26
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Book Description
Author: J. L. Walsh
Publisher: American Mathematical Soc.
ISBN: 0821810200
Category : Mathematics
Languages : en
Pages : 418
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Book Description
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.
Author: D. C. Handscomb
Publisher: Elsevier
ISBN: 1483149021
Category : Social Science
Languages : en
Pages : 229
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Book Description
Methods of Numerical Approximation is based on lectures delivered at the Summer School held in September 1965, at Oxford University. The book deals with the approximation of functions with one or more variables, through means of more elementary functions. It explains systems to approximate functions, such as trigonometric sums, rational functions, continued fractions, and spline functions. The book also discusses linear approximation including topics such as convergence of polynomial interpolation and the least-squares approximation. The text analyzes Bernstein polynomials, Weierstrass' theorem, and Lagrangian interpolation. The book also gives attention to the Chebyshev least-squares approximation, the Chebyshev series, and the determination of Chebyshev series, under general methods. These general methods are useful when the student wants to investigate practical methods for finding forms of approximations under various situations. One of the lectures concerns the general theory of linear approximation and the existence of a best approximation approach using different theorems. The book also discusses the theory and calculation of the best rational approximations as well as the optimal approximation of linear functionals. The text will prove helpful for students in advanced mathematics and calculus. It can be appreciated by statisticians and those working with numbers theory.
Author: J. L. Walsh
Publisher:
ISBN:
Category : Extremal problems (Mathematics)
Languages : en
Pages : 96
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Book Description
Author: Joseph L. Walsh
Publisher: Springer Science & Business Media
ISBN: 9780387987828
Category : Mathematics
Languages : en
Pages : 734
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Book Description
This volume is a selection from the 281 published papers of Joseph Leonard Walsh, former US Naval Officer and professor at University of Maryland and Harvard University. The nine broad sections are ordered following the evolution of his work. Commentaries and discussions of subsequent development are appended to most of the sections. Also included is one of Walsh's most influential works, "A closed set of normal orthogonal function," which introduced what is now known as "Walsh Functions".
Author: V. I. Krylov
Publisher: Courier Corporation
ISBN: 048615467X
Category : Mathematics
Languages : en
Pages : 372
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Book Description
An introduction to the principal ideas and results of the contemporary theory of approximate integration, this volume approaches its subject from the viewpoint of functional analysis. The 3-part treatment begins with concepts and theorems encountered in the theory of quadrature and then explores the problem of calculation of definite integrals and methods for the calculation of indefinite integral. 1962 edition.
Author: Walter Edwin Sewell
Publisher: Princeton University Press
ISBN: 1400882214
Category : Mathematics
Languages : en
Pages : 248
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Book Description
The description for this book, Degree of Approximation by Polynomials in the Complex Domain. (AM-9), Volume 9, will be forthcoming.
Author: United States. Air Force. Office of Aerospace Research
Publisher:
ISBN:
Category : Aeronautics, Military
Languages : en
Pages : 800
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Book Description
