| 000 | 02610nam a22004815i 4500 | ||
|---|---|---|---|
| 001 | 978-1-4614-0201-5 | ||
| 003 | DE-He213 | ||
| 005 | 20140220083732.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 110603s2011 xxu| s |||| 0|eng d | ||
| 020 |
_a9781461402015 _9978-1-4614-0201-5 |
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| 024 | 7 |
_a10.1007/978-1-4614-0201-5 _2doi |
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| 050 | 4 | _aQA331.5 | |
| 072 | 7 |
_aPBKB _2bicssc |
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| 072 | 7 |
_aMAT034000 _2bisacsh |
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| 072 | 7 |
_aMAT037000 _2bisacsh |
|
| 082 | 0 | 4 |
_a515.8 _223 |
| 100 | 1 |
_aAnastassiou, George A. _eauthor. |
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| 245 | 1 | 0 |
_aInequalities Based on Sobolev Representations _h[electronic resource] / _cby George A. Anastassiou. |
| 264 | 1 |
_aNew York, NY : _bSpringer New York, _c2011. |
|
| 300 |
_aIX, 65p. _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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| 505 | 0 | _a Part 1. -Univariate Integral Inequalities based on Sobolev representations -- Introduction -- Background. -Main Results. -Applications -- References. Part 2 -- Multivariate Integral Inequalities deriving from Sobolev representations.-Introduction.-Background.-Main Results -- Applications, References. | |
| 520 | _aInequalities based on Sobolev Representations deals exclusively with very general tight integral inequalities of Chebyshev-Grüss, Ostrowski types and of integral means, all of which depend upon the Sobolev integral representations of functions. Applications illustrate inequalities that engage in ordinary and weak partial derivatives of the involved functions. This book also derives important estimates for the averaged Taylor polynomials and remainders of Sobolev integral representations. The results are examined in all directions and through both univariate and multivariate cases. This book is suitable for researchers, graduate students, and seminars in subareas of mathematical analysis, inequalities, partial differential equations and information theory. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aStatistics. | |
| 650 | 0 | _aEngineering design. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aReal Functions. |
| 650 | 2 | 4 | _aStatistics, general. |
| 650 | 2 | 4 | _aEngineering Design. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9781461402008 |
| 830 | 0 |
_aSpringerBriefs in Mathematics, _x2191-8198 |
|
| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-1-4614-0201-5 |
| 912 | _aZDB-2-SMA | ||
| 999 |
_c106218 _d106218 |
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