Approximation by multivariate singular integrals

Approximation by multivariate singular integrals

by Anastassiou, George A

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Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identity-unit operator. The basic approximation properties of the general multivariate singular integral operators is presented quantitatively, particularly special cases such as the multivariate Picard, Gauss-Weierstrass, Poisson-Cauchy and trigonometric singular integral operators are examined thoroughly. This book studies the rate of convergence of…

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Title Statements

  • Full title :Approximation by multivariate singular integrals / George A. Anastassiou.

Summary

Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identity-unit operator. The basic approximation properties of the general multivariate singular integral operators is presented quantitatively, particularly special cases such as the multivariate Picard, Gauss-Weierstrass, Poisson-Cauchy and trigonometric singular integral operators are examined thoroughly. This book studies the rate of convergence of these operators to the unit operator as well as the related simultaneous approximation. The last cha.

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Edition Statements

  • Publication Date:2011.

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:New York
  • Language:eng
  • Publication Date:2011.

The Physical Object

  • Description:1 online resource (x, 79 pages)

Edition Identifiers

  • ISBN:9781461405894, 1461405890
  • DOI:10.1007/978-1-4614-0589-4
  • oclc:ocn747413729
  • LC Classification:QA403.5
  • Dewey Decimal:515.43

Table of Contents

Approximation by Multivariate Singular Integrals; Preface; Contents; Chapter 1: Uniform Approximation by General Multivariate Singular Integral Operators; Chapter 2: Lp-Approximation by General Multivariate Singular Integral Operators; Chapter 3: Global Smoothness Preservation and Simultaneous Approximation by Multivariate General Singular Integrals; Chapter 4: Multivariate Voronovskaya Asymptotic Expansions for General Singular Integrals; Chapter 5: Simultaneous Approximation by Multivariate Complex General Singular Integrals.

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Subjects

Intégrales singulières Singular integrals

Writers

Anastassiou, George A

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