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Sibirskii Matematicheskii Zhurnal, 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
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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.
Received: 05.02.2011
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 6, Pages 1009–1021
DOI: https://doi.org/10.1134/S0037446611060061
Bibliographic databases:
Document Type: Article
UDC: 517.546
Language: Russian
Citation: E. G. Kir'yatskiǐ, “Bounds for higher order divided differences of analytic functions on a disk”, Sibirsk. Mat. Zh., 52:6 (2011), 1271–1287; Siberian Math. J., 52:6 (2011), 1009–1021
Citation in format AMSBIB
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    		Сибирский математический журнал Siberian Mathematical Journal
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