02520nam 2200553 450 99646658350331620220908231445.03-540-47548-610.1007/BFb0090864(CKB)1000000000437137(DE-He213)978-3-540-47548-4(MiAaPQ)EBC5592286(Au-PeEL)EBL5592286(OCoLC)1066184996(MiAaPQ)EBC6841977(Au-PeEL)EBL6841977(PPN)155199757(EXLCZ)99100000000043713720220908d1993 uy 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierNorm inequalities for derivatives and differences /Man K. Kwong and Anton Zettl1st ed. 1992.Berlin, Germany ;New York, New York :Springer-Verlag,[1993]©19931 online resource (VIII, 152 p.) Lecture Notes in Mathematics,0075-8434 ;15360-387-56387-3 3-540-56387-3 Unit weight functions -- The norms of y,y?,y? -- Weights -- The difference operator.Norm 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.Lecture Notes in Mathematics,0075-8434 ;1536Functions of real variablesDifference equationsNumerical solutionsFunctions of real variables.Difference equationsNumerical solutions.515.8Kwong Man Kam1947-59840Zettl AntonMiAaPQMiAaPQMiAaPQBOOK996466583503316Norm inequalities for derivatives and differences262374UNISA