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Bounds for higher order divided differences of analytic functions on a disk

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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.

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Authors and Affiliations

  1. Vilnius Gediminas Technical University, Vilnius, Lithuania

    E. G. Kir’yatskiĭ

Authors
  1. E. G. Kir’yatskiĭ
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Correspondence to E. G. Kir’yatskiĭ.

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Original Russian Text Copyright © 2011 Kir’yatskiĭ E. G.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 52, No. 6, pp. 1271–1287, November–December, 2011.

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Kir’yatskiĭ, E.G. Bounds for higher order divided differences of analytic functions on a disk. Sib Math J 52, 1009–1021 (2011). https://doi.org/10.1134/S0037446611060061

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  • DOI: https://doi.org/10.1134/S0037446611060061

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