On the Accuracy of Approximation by Polynomials with Integral Coefficients Only PDF Download
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Author: Yoshitomo Okada
Publisher:
ISBN:
Category :
Languages : en
Pages : 12
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Book Description
Author: Yoshitomo Okada
Publisher:
ISBN:
Category :
Languages : en
Pages : 12
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Book Description
Author: Le Baron O. Ferguson
Publisher: American Mathematical Soc.
ISBN: 0821815172
Category : Mathematics
Languages : en
Pages : 174
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Book Description
Addresses two questions that include: 'What functions can be approximated by polynomials whose coefficients are integers?' and 'How well are they approximated (Jackson type theorems)?'
Author: Yoshitomo Okada
Publisher:
ISBN:
Category :
Languages : en
Pages : 9
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Book Description
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 454
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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 718
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Book Description
Author: Cecelia H. Chu
Publisher:
ISBN:
Category :
Languages : en
Pages : 88
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Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 582
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Book Description
Author: Peter Junghanns
Publisher: Springer Nature
ISBN: 303077497X
Category : Mathematics
Languages : en
Pages : 662
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Book Description
The book presents a combination of two topics: one coming from the theory of approximation of functions and integrals by interpolation and quadrature, respectively, and the other from the numerical analysis of operator equations, in particular, of integral and related equations. The text focusses on interpolation and quadrature processes for functions defined on bounded and unbounded intervals and having certain singularities at the endpoints of the interval, as well as on numerical methods for Fredholm integral equations of first and second kind with smooth and weakly singular kernel functions, linear and nonlinear Cauchy singular integral equations, and hypersingular integral equations. The book includes both classic and very recent results and will appeal to graduate students and researchers who want to learn about the approximation of functions and the numerical solution of operator equations, in particular integral equations.
Author: Johan De Villiers
Publisher: Springer Science & Business Media
ISBN: 9491216503
Category : Mathematics
Languages : en
Pages : 418
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Book Description
The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis. This book is an introduction to the mathematical analysis of such approximation, and, with the prerequisites of only calculus and linear algebra, the material is targeted at senior undergraduate level, with a treatment that is both rigorous and self-contained. The topics include polynomial interpolation; Bernstein polynomials and the Weierstrass theorem; best approximations in the general setting of normed linear spaces and inner product spaces; best uniform polynomial approximation; orthogonal polynomials; Newton-Cotes , Gauss and Clenshaw-Curtis quadrature; the Euler-Maclaurin formula ; approximation of periodic functions; the uniform convergence of Fourier series; spline approximation,with an extensive treatment of local spline interpolation,and its application in quadrature. Exercises are provided at the end of each chapter
