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// Trudy Instituta Matematiki i Mekhaniki UrO RAN
// Archive
Trudy Inst. Mat. i Mekh. UrO RAN,
2010
Volume 16,
Number 4,
Pages
312–313
(Mi timm665)
This article is cited 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.
UDC:
517.547.3
Received:
27.01.2010
Fulltext:
PDF file (85 kB)
References
Cited by
English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2011,
273
, suppl. 1,
S188–S189
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2025
Fulltext:
PDF file (85 kB)