Kód: 01565609
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 bac ... celý popis
Angličtina
Nákupem získáte 60 bodů
Anotace knihy
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.
Parametry knihy
Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis
595 Kč
Angličtina
Osobní odběr Praha, Brno a 46994 dalších
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