On a formula for the nth derivative and its application (CROSBI ID 169735)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Čuljak, Vera ; Jovanović, Mirko S.
engleski
On a formula for the nth derivative and its application
In this paper we obtain a formula which involves the n th derivative of the first order divided difference and a corresponding inequality for functions whose (n + 1) -th derivative belongs to a Lp space. These results are a generalization of the results from [1] and [2]. Finally, some examples are given. ]1] T. H . GRO N WA L L, Problem 331., Amer. Math. Monthly, 20 (1913), 138. [2] T. H . GRO N WA L L, Problem 339., Amer. Math. Monthly, 20 (1913), 196
Holder inequality ; Lp spaces
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Podaci o izdanju
15 (1)
2012.
211-216
objavljeno
1331-4343
10.7153/mia-15-17