000 02373nam a22004695i 4500
001 978-3-540-47548-4
003 DE-He213
005 20160624101827.0
007 cr nn 008mamaa
008 121227s1992 gw | s |||| 0|eng d
020 _a9783540475484
_9978-3-540-47548-4
024 7 _a10.1007/BFb0090864
_2doi
050 4 _aQA331.5
072 7 _aPBKB
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aMAT037000
_2bisacsh
082 0 4 _a515.8
_223
100 1 _aKwong, Man Kam.
_eauthor.
245 1 0 _aNorm Inequalities for Derivatives and Differences
_h[electronic resource] /
_cby Man Kam Kwong, Anton Zettl.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1992.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1992.
300 _aVIII, 152 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1536
505 0 _aUnit weight functions -- The norms of y,y?,y? -- Weights -- The difference operator.
520 _aNorm inequalities relating (i) a function and two of its derivatives and (ii) a sequence and two of its differences are studied. Detailed elementary proofs of basic inequalities are given. These are accessible to anyone with a background of advanced calculus and a rudimentary knowledge of the Lp and lp spaces. The classical inequalities associated with the names of Landau, Hadamard, Hardy and Littlewood, Kolmogorov, Schoenberg and Caravetta, etc., are discussed, as well as their discrete analogues and weighted versions. Best constants and the existence and nature of extremals are studied and many open questions raised. An extensive list of references is provided, including some of the vast Soviet literature on this subject.
650 0 _aMathematics.
650 1 4 _aMathematics.
650 2 4 _aReal Functions.
700 1 _aZettl, Anton.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540563877
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1536
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0090864
942 _2EBK1589
_cEBK
999 _c30883
_d30883