000 | 03471nam a22005055i 4500 | ||
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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 |
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024 | 7 |
_a10.1007/978-1-4614-1779-8 _2doi |
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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. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aSpringerBriefs in Mathematics, _x2191-8198 |
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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 |