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Rational approximation of real functions / P.P. Petrushev, V.A. Popov.

By: Contributor(s): Material type: TextTextSeries: Encyclopedia of mathematics and its applications ; v. 28.Publication details: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1987.Description: 1 online resource (x, 371 pages) : illustrationsContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781107340756
  • 1107340756
  • 9781461938194
  • 1461938198
  • 9781107387218
  • 1107387213
  • 9781139886215
  • 1139886215
  • 1107383609
  • 9781107383609
  • 1107390044
  • 9781107390041
  • 1107398460
  • 9781107398467
Subject(s): Genre/Form: Additional physical formats: Print version:: No titleDDC classification:
  • 515.8 19
LOC classification:
  • QA331.5 .P48 1987
Other classification:
  • 31.76
  • *41A20
  • 41-02
  • 41A15
  • 41A17
  • 41A21
  • 41A25
Online resources:
Contents:
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
Action note:
  • digitized 2012 HathiTrust Digital Library committed to preserve
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Electronic-Books Electronic-Books OPJGU Sonepat- Campus E-Books EBSCO Available

Includes bibliographical references (pages 357-367).

Includes indexes.

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Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2012. MiAaHDL

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL

http://purl.oclc.org/DLF/benchrepro0212

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Print version record.

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

English.

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