The Resource Operator inequalities of ostrowski and trapezoidal type, Silvestru Sever Dragomir
Operator inequalities of ostrowski and trapezoidal type, Silvestru Sever Dragomir
Resource Information
The item Operator inequalities of ostrowski and trapezoidal type, Silvestru Sever Dragomir represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Operator inequalities of ostrowski and trapezoidal type, Silvestru Sever Dragomir represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 Inequalities of Ostrowski and Trapezoidal Type for Functions of Selfadjoint Operators on Hilbert Spaces presents recent results concerning Ostrowski and Trapezoidal type inequalities for continuous functions of bounded Selfadjoint operators on complex Hilbert spaces. The first chapter recalls some fundamental facts concerning bounded Selfadjoint operators on complex Hilbert spaces. The generalized Schwarz's inequality for positive Selfadjoint operators as well as some results for the spectrum of this class of operators are presented. The author also introduces and explores the fundamental results for polynomials in a linear operator, continuous functions of selfadjoint operators that will play a central role throughout the book. The following chapter is devoted to the Ostrowski's type inequalities, which provide sharp error estimates in approximating the value of a function by its integral mean and can be used to obtain a priory error bounds for different quadrature rules in approximating the Riemann integral by different Riemann sums. The author also presents recent results extending Ostrowski inequality in various directions for continuous functions of selfadjoint operators in complex Hilbert spaces. The final chapter illustrates recent results obtained in extending trapezoidal type inequality in various directions for continuous functions of selfadjoint operators in complex Hilbert spaces. Applications for midpoint inequalities and some elementary functions of operators as also provided. This book is intended for use by researchers in various fields of Linear Operator Theory and Mathematical Inequalities. As well as postgraduate students and scientists applying inequalities in their specific areas
 Language
 eng
 Extent
 1 online resource (x, 112 pages).
 Contents

 1. Background for functions of selfadjoint operators
 2. Inequalities of Ostrowski type
 3. Inequalities of trapezoidal type
 Isbn
 9781461417798
 Label
 Operator inequalities of ostrowski and trapezoidal type
 Title
 Operator inequalities of ostrowski and trapezoidal type
 Statement of responsibility
 Silvestru Sever Dragomir
 Subject

 Differential equations, partial
 Distribution (Probability theory)
 Hilbert space
 Hilbert space
 Hilbert space
 Inequalities (Mathematics)
 Inequalities (Mathematics)
 Inequalities (Mathematics)
 MATHEMATICS  Algebra  Intermediate
 Mathematical optimization
 Mathematics
 Mathematics  methods
 Numerical analysis
 Operator theory
 Operator theory
 Operator theory
 Partial Differential Equations
 Probability Theory and Stochastic Processes
 Approximations and Expansions
 Language
 eng
 Summary
 Inequalities of Ostrowski and Trapezoidal Type for Functions of Selfadjoint Operators on Hilbert Spaces presents recent results concerning Ostrowski and Trapezoidal type inequalities for continuous functions of bounded Selfadjoint operators on complex Hilbert spaces. The first chapter recalls some fundamental facts concerning bounded Selfadjoint operators on complex Hilbert spaces. The generalized Schwarz's inequality for positive Selfadjoint operators as well as some results for the spectrum of this class of operators are presented. The author also introduces and explores the fundamental results for polynomials in a linear operator, continuous functions of selfadjoint operators that will play a central role throughout the book. The following chapter is devoted to the Ostrowski's type inequalities, which provide sharp error estimates in approximating the value of a function by its integral mean and can be used to obtain a priory error bounds for different quadrature rules in approximating the Riemann integral by different Riemann sums. The author also presents recent results extending Ostrowski inequality in various directions for continuous functions of selfadjoint operators in complex Hilbert spaces. The final chapter illustrates recent results obtained in extending trapezoidal type inequality in various directions for continuous functions of selfadjoint operators in complex Hilbert spaces. Applications for midpoint inequalities and some elementary functions of operators as also provided. This book is intended for use by researchers in various fields of Linear Operator Theory and Mathematical Inequalities. As well as postgraduate students and scientists applying inequalities in their specific areas
 Cataloging source
 GW5XE
 http://library.link/vocab/creatorName
 Dragomir, Sever Silvestru
 Dewey number
 512.9/7
 Index
 no index present
 Language note
 English
 LC call number
 QA295
 LC item number
 .D73 2012
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 Series statement
 SpringerBriefs in mathematics,
 http://library.link/vocab/subjectName

 Inequalities (Mathematics)
 Operator theory
 Hilbert space
 Mathematics
 MATHEMATICS
 Hilbert space
 Inequalities (Mathematics)
 Operator theory
 Label
 Operator inequalities of ostrowski and trapezoidal type, Silvestru Sever Dragomir
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. Background for functions of selfadjoint operators  2. Inequalities of Ostrowski type  3. Inequalities of trapezoidal type
 Control code
 769651826
 Dimensions
 unknown
 Extent
 1 online resource (x, 112 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9781461417798
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781461417798
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)769651826
 Label
 Operator inequalities of ostrowski and trapezoidal type, Silvestru Sever Dragomir
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 1. Background for functions of selfadjoint operators  2. Inequalities of Ostrowski type  3. Inequalities of trapezoidal type
 Control code
 769651826
 Dimensions
 unknown
 Extent
 1 online resource (x, 112 pages).
 File format
 unknown
 Form of item
 online
 Isbn
 9781461417798
 Level of compression
 unknown
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9781461417798
 Quality assurance targets
 not applicable
 Reformatting quality
 unknown
 Sound
 unknown sound
 Specific material designation
 remote
 System control number
 (OCoLC)769651826
Subject
 Differential equations, partial
 Distribution (Probability theory)
 Hilbert space
 Hilbert space
 Hilbert space
 Inequalities (Mathematics)
 Inequalities (Mathematics)
 Inequalities (Mathematics)
 MATHEMATICS  Algebra  Intermediate
 Mathematical optimization
 Mathematics
 Mathematics  methods
 Numerical analysis
 Operator theory
 Operator theory
 Operator theory
 Partial Differential Equations
 Probability Theory and Stochastic Processes
 Approximations and Expansions
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Operatorinequalitiesofostrowskiand/4YYF3EzdKr0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Operatorinequalitiesofostrowskiand/4YYF3EzdKr0/">Operator inequalities of ostrowski and trapezoidal type, Silvestru Sever Dragomir</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>