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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2010, Volume 16, Number 4, Pages 312–313
(Mi timm665)
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This article is cited in 1 scientific paper (total in 1 paper)
On Bohrs inequality
V. A. Yudin Moscow Power Engineering Institute (Technical University)
Abstract:
It is established that H. Bohr's inequality $\sum_{k=0}^\infty|f^{(k)}(0)/(2^{k/2}k!)|\le\sqrt2\|f\|_\infty$ is sharp on the class $H_\infty$.
Keywords:
sharp inequality for functions that are analytic in a circle.
Received: 27.01.2010
Citation:
V. A. Yudin, “On Bohrs inequality”, Trudy Inst. Mat. i Mekh. UrO RAN, 16, no. 4, 2010, 312–313; Proc. Steklov Inst. Math. (Suppl.), 273, suppl. 1 (2011), S188–S189
Linking options:
https://www.mathnet.ru/eng/timm665 https://www.mathnet.ru/eng/timm/v16/i4/p312
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