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008 110603s2011 xxu| s |||| 0|eng d
020 _a9781461402015
_9978-1-4614-0201-5
040 _cMX-MeUAM
050 4 _aQA331.5
082 0 4 _a515.8
_223
100 1 _aAnastassiou, George A.
_eauthor.
245 1 0 _aInequalities Based on Sobolev Representations
_h[recurso electrónico] /
_cby George A. Anastassiou.
264 1 _aNew York, NY :
_bSpringer New York,
_c2011.
300 _aIX, 65p.
_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
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 _zLibro electrónico
_uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4614-0201-5
596 _a19
942 _cLIBRO_ELEC
999 _c200274
_d200274