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The Resource Approximation by Multivariate Singular Integrals, by George A. Anastassiou, (electronic resource)
Approximation by Multivariate Singular Integrals, by George A. Anastassiou, (electronic resource)
Resource Information
The item Approximation by Multivariate Singular Integrals, by George A. Anastassiou, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Approximation by Multivariate Singular Integrals, by George A. Anastassiou, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identityunit operator. The basic approximation properties of the general multivariate singular integral operators is presented quantitatively, particularly special cases such as the multivariate Picard, GaussWeierstrass, PoissonCauchy 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
 Language

 eng
 eng
 Edition
 1st ed. 2011.
 Extent
 1 online resource (87 p.)
 Note
 Description based upon print version of record
 Contents

 Approximation by Multivariate Singular Integrals; Preface; Contents; Chapter 1: Uniform Approximation by General Multivariate Singular Integral Operators; Chapter 2: LpApproximation 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
 Isbn
 9781461405894
 Label
 Approximation by Multivariate Singular Integrals
 Title
 Approximation by Multivariate Singular Integrals
 Statement of responsibility
 by George A. Anastassiou
 Language

 eng
 eng
 Summary
 Approximation by Multivariate Singular Integrals is the first monograph to illustrate the approximation of multivariate singular integrals to the identityunit operator. The basic approximation properties of the general multivariate singular integral operators is presented quantitatively, particularly special cases such as the multivariate Picard, GaussWeierstrass, PoissonCauchy 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
 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)
 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: LpApproximation 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
 10.1007/9781461405894
 Specific material designation
 remote
 System control number

 (CKB)2550000000041808
 (EBL)770067
 (OCoLC)747413729
 (SSID)ssj0000508378
 (PQKBManifestationID)11300325
 (PQKBTitleCode)TC0000508378
 (PQKBWorkID)10551286
 (PQKB)11436318
 (DEHe213)9781461405894
 (MiAaPQ)EBC770067
 (EXLCZ)992550000000041808
 Label
 Approximation by Multivariate Singular Integrals, by George A. Anastassiou, (electronic resource)
 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: LpApproximation 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
 10.1007/9781461405894
 Specific material designation
 remote
 System control number

 (CKB)2550000000041808
 (EBL)770067
 (OCoLC)747413729
 (SSID)ssj0000508378
 (PQKBManifestationID)11300325
 (PQKBTitleCode)TC0000508378
 (PQKBWorkID)10551286
 (PQKB)11436318
 (DEHe213)9781461405894
 (MiAaPQ)EBC770067
 (EXLCZ)992550000000041808
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