000 | 02522nam a22004695i 4500 | ||
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001 | 978-3-540-47548-4 | ||
003 | DE-He213 | ||
005 | 20190213151452.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1992 gw | s |||| 0|eng d | ||
020 |
_a9783540475484 _9978-3-540-47548-4 |
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024 | 7 |
_a10.1007/BFb0090864 _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 |
_aPBKB _2thema |
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082 | 0 | 4 |
_a515.8 _223 |
100 | 1 |
_aKwong, Man Kam. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aNorm Inequalities for Derivatives and Differences _h[electronic resource] / _cby Man Kam Kwong, Anton Zettl. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1992. |
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300 |
_aVIII, 152 p. _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 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1536 |
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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 |
_aReal Functions. _0http://scigraph.springernature.com/things/product-market-codes/M12171 |
700 | 1 |
_aZettl, Anton. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662171004 |
776 | 0 | 8 |
_iPrinted edition: _z9783540563877 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1536 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0090864 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c10780 _d10780 |