On inequalities of periodic functions and their derivatives-Reference-Cited by-同舟云学术

On inequalities of periodic functions and their derivatives

Published:1983 Issue:3 Volume:87 Page:463-466
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Ditzian Z.

Abstract

The inequality ‖ f ‖ B ⩽ a k ‖ f ( k ) ‖ B {\left \| f \right \|_B} \leqslant {a_k}{\left \| {{f^{(k)}}} \right \|_B} is proved for many spaces of periodic functions. An analogue for sequences is also given.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1983-087-03/S0002-9939-1983-0684640-0/S0002-9939-1983-0684640-0.pdf

Reference6 articles.

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2. A note on periodic functions and their derivatives;Bellman, Richard;J. London Math. Soc.,1943

3. Some remarks on inequalities of Landau and Kolmogorov;Ditzian, Z.;Aequationes Math.,1975

4. Discrete analogs of inequalities of Wirtinger;Fan, Ky;Monatsh. Math.,1955

5. On inequalities between the upper bounds of the successive derivatives of an arbitrary function on an infinite interval;Kolmogoroff, A.;Amer. Math. Soc. Translation,1949

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