UID:
almafu_9959245957302883
Umfang:
1 online resource (x, 371 pages) :
,
digital, PDF file(s).
ISBN:
1-139-88621-5
,
1-107-38360-9
,
1-107-39004-4
,
1-107-39846-0
,
1-107-38721-3
,
1-107-34075-6
Serie:
Encyclopedia of mathematics and its applications ;
Inhalt:
Originally published in 1987, this book is devoted to the approximation of real functions by real rational functions. These are, in many ways, a more convenient tool than polynomials, and interest in them was growing, especially since D. Newman's work in the mid-sixties. The authors aim at presenting the basic achievements of the subject and, for completeness, also discuss some topics from complex rational approximation. Certain classical and modern results from linear approximation theory and spline approximation are also included for comparative purposes. This book will be of value to anyone with an interest in approximation theory and numerical analysis.
Anmerkung:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
,
Remez algorithm2.6 Notes; 3 Some classical results in the linear theory; 3.1 Moduli of continuity and smoothness in C and Lp; 3.2 Direct theorems: Jackson's theorem; 3.3 Converse theorems; 3.4 Direct and converse theorems for algebraic polynomial approximation in a finite interval; 3.5 Direct and converse theorems and the K-functional of J. Peetre; 3.6 Notes; 4 Approximation of some important functions; 4.1 Newman's theorem; 4.2 The exact order of the best uniform approximation to [x]; 4.3 Zolotarjov's results; 4.4 Uniform approximation of ex on [-1,1]: Meinardus conjecture
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9.3 Bounded functions
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English
Weitere Ausg.:
ISBN 0-521-17740-5
Weitere Ausg.:
ISBN 0-521-33107-2
Sprache:
Englisch
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