Asymptotic behaviour of the sequence of norms of derivatives

J. Math. Sci. Univ. Tokyo
Vol. 2 (1995), No. 3, Page 611--620.

Bang, Ha Huy
Asymptotic behaviour of the sequence of norms of derivatives
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Abstract:
Two exact asymptotic inequalities for derivatives, which show a relation between behaviour of the sequence of norms of derivatives of a function and the support of its Fourier transform, are given in this paper.

Keywords: Inequalities for derivatives, Fourier transform

Mathematics Subject Classification (1991): Primary 26D10, 42B10, 46E30
Mathematical Reviews Number: MR1382522

Received: 1994-05-02