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// Sibirskii Matematicheskii Zhurnal
// Archive
Sibirsk. Mat. Zh.,
2011
Volume 52,
Number 6,
Pages
1271–1287
(Mi smj2273)
Bounds for higher order divided differences of analytic functions on a disk
E. G. Kir'yatskiĭ
Vilnius Gediminas Technical University, Vilnius, Lithuania
Abstract:
We estimate the absolute value and real part of the order
$n$
divided difference of an analytic function on a disk. Particular attention in these estimates is paid to the question of equality.
Keywords:
analytic function, derivative, divided difference.
UDC:
517.546
Received:
05.02.2011
Fulltext:
PDF file (331 kB)
References
English version:
Siberian Mathematical Journal, 2011,
52
:6,
1009–1021
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2024