000 03471nam a22005055i 4500
001 978-1-4614-1779-8
003 DE-He213
005 20140220083243.0
007 cr nn 008mamaa
008 111207s2012 xxu| s |||| 0|eng d
020 _a9781461417798
_9978-1-4614-1779-8
024 7 _a10.1007/978-1-4614-1779-8
_2doi
050 4 _aQA370-380
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.353
_223
100 1 _aDragomir, Silvestru Sever.
_eauthor.
245 1 0 _aOperator Inequalities of Ostrowski and Trapezoidal Type
_h[electronic resource] /
_cby Silvestru Sever Dragomir.
264 1 _aNew York, NY :
_bSpringer New York,
_c2012.
300 _aVI, 120p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringerBriefs in Mathematics,
_x2191-8198
520 _aInequalities 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.
650 0 _aMathematics.
650 0 _aDifferential equations, partial.
650 0 _aNumerical analysis.
650 0 _aMathematical optimization.
650 0 _aDistribution (Probability theory).
650 1 4 _aMathematics.
650 2 4 _aPartial Differential Equations.
650 2 4 _aApproximations and Expansions.
650 2 4 _aNumerical Analysis.
650 2 4 _aOptimization.
650 2 4 _aProbability Theory and Stochastic Processes.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781461417781
830 0 _aSpringerBriefs in Mathematics,
_x2191-8198
856 4 0 _uhttp://dx.doi.org/10.1007/978-1-4614-1779-8
912 _aZDB-2-SMA
999 _c101130
_d101130