LEADER 02520nam 2200553 450 001 996466583503316 005 20220908231445.0 010 $a3-540-47548-6 024 7 $a10.1007/BFb0090864 035 $a(CKB)1000000000437137 035 $a(DE-He213)978-3-540-47548-4 035 $a(MiAaPQ)EBC5592286 035 $a(Au-PeEL)EBL5592286 035 $a(OCoLC)1066184996 035 $a(MiAaPQ)EBC6841977 035 $a(Au-PeEL)EBL6841977 035 $a(PPN)155199757 035 $a(EXLCZ)991000000000437137 100 $a20220908d1993 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aNorm inequalities for derivatives and differences /$fMan K. Kwong and Anton Zettl 205 $a1st ed. 1992. 210 1$aBerlin, Germany ;$aNew York, New York :$cSpringer-Verlag,$d[1993] 210 4$dİ1993 215 $a1 online resource (VIII, 152 p.) 225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v1536 311 $a0-387-56387-3 311 $a3-540-56387-3 327 $aUnit weight functions -- The norms of y,y?,y? -- Weights -- The difference operator. 330 $aNorm inequalities relating (i) a function and two of its derivatives and (ii) a sequence and two of its differences are studied. Detailed elementary proofs of basic inequalities are given. These are accessible to anyone with a background of advanced calculus and a rudimentary knowledge of the Lp and lp spaces. The classical inequalities associated with the names of Landau, Hadamard, Hardy and Littlewood, Kolmogorov, Schoenberg and Caravetta, etc., are discussed, as well as their discrete analogues and weighted versions. Best constants and the existence and nature of extremals are studied and many open questions raised. An extensive list of references is provided, including some of the vast Soviet literature on this subject. 410 0$aLecture Notes in Mathematics,$x0075-8434 ;$v1536 606 $aFunctions of real variables 606 $aDifference equations$xNumerical solutions 615 0$aFunctions of real variables. 615 0$aDifference equations$xNumerical solutions. 676 $a515.8 700 $aKwong$b Man Kam$f1947-$059840 702 $aZettl$b Anton 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466583503316 996 $aNorm inequalities for derivatives and differences$9262374 997 $aUNISA