The Resource Approximation by Multivariate Singular Integrals, by George A. Anastassiou, (electronic resource)

Approximation by Multivariate Singular Integrals, by George A. Anastassiou, (electronic resource)

Label
Approximation by Multivariate Singular Integrals
Title
Approximation by Multivariate Singular Integrals
Statement of responsibility
by George A. Anastassiou
Creator
Author
Author
Subject
Language
  • eng
  • eng
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 chapter, which includes many examples, presents a related Korovkin type approximation theorem for functions of two variables. Relevant background information and motivation is included in this exposition, and as a result this book can be used as supplementary text for several advanced courses. The results presented apply to many areas of pure and applied mathematics, such a mathematical analysis, probability, statistics and partial differential equations. This book is appropriate for researchers and selected seminars at the graduate level
Member of
Is Subseries of
http://library.link/vocab/creatorName
Anastassiou, George A
Dewey number
  • 515
  • 515.43
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
yFSjCSPMz5U
Language note
English
LC call number
  • QA307
  • QA432
Literary form
non fiction
Nature of contents
dictionaries
Series statement
SpringerBriefs in Mathematics,
http://library.link/vocab/subjectName
  • Integral Transforms
  • Differential equations, partial
  • Distribution (Probability theory
  • Integral Transforms, Operational Calculus
  • Partial Differential Equations
  • Probability Theory and Stochastic Processes
Label
Approximation by Multivariate Singular Integrals, by George A. Anastassiou, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
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
  • Chapter 6: Approximation of Functions of Two Variables via Almost Convergence of Double Sequences
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (87 p.)
Form of item
online
Isbn
9781461405894
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4614-0589-4
Specific material designation
remote
System control number
  • (CKB)2550000000041808
  • (EBL)770067
  • (OCoLC)747413729
  • (SSID)ssj0000508378
  • (PQKBManifestationID)11300325
  • (PQKBTitleCode)TC0000508378
  • (PQKBWorkID)10551286
  • (PQKB)11436318
  • (DE-He213)978-1-4614-0589-4
  • (MiAaPQ)EBC770067
  • (EXLCZ)992550000000041808
Label
Approximation by Multivariate Singular Integrals, by George A. Anastassiou, (electronic resource)
Publication
Note
Description based upon print version of record
Bibliography note
Includes bibliographical references
Carrier category
online resource
Carrier category code
cr
Content category
text
Content type code
txt
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
  • Chapter 6: Approximation of Functions of Two Variables via Almost Convergence of Double Sequences
Dimensions
unknown
Edition
1st ed. 2011.
Extent
1 online resource (87 p.)
Form of item
online
Isbn
9781461405894
Media category
computer
Media type code
c
Other control number
10.1007/978-1-4614-0589-4
Specific material designation
remote
System control number
  • (CKB)2550000000041808
  • (EBL)770067
  • (OCoLC)747413729
  • (SSID)ssj0000508378
  • (PQKBManifestationID)11300325
  • (PQKBTitleCode)TC0000508378
  • (PQKBWorkID)10551286
  • (PQKB)11436318
  • (DE-He213)978-1-4614-0589-4
  • (MiAaPQ)EBC770067
  • (EXLCZ)992550000000041808

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