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The Resource Operator inequalities of ostrowski and trapezoidal type, Silvestru Sever Dragomir

Operator inequalities of ostrowski and trapezoidal type, Silvestru Sever Dragomir

Label
Operator inequalities of ostrowski and trapezoidal type
Title
Operator inequalities of ostrowski and trapezoidal type
Statement of responsibility
Silvestru Sever Dragomir
Creator
Subject
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 mid-point 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
Member of
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
Instantiates
Publication
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
10.1007/978-1-4614-1779-8
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
Publication
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
10.1007/978-1-4614-1779-8
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)769651826

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