On some limit properties of functions with nonvanishing divided differences
DOI: https://doi.org/10.3846/1392-6292.2009.14.313-321Abstract
In present article the sequence of holomorphic in region D functions Fn (z) which have exactly n zeros in this region is considered. The limit properties of the sequence Fn (z), of functions with non‐vanishing divided differences of n‐th order are investigated. One interpolation property, connected with Chebyshev systems is considered.
First published online: 14 Oct 2010
Keywords:
holomorphic functions, divided difference, limit properties, Chebyshev systemsHow to Cite
Kiriyatzkii, E., & Kirjackis, J. (2009). On some limit properties of functions with nonvanishing divided differences. Mathematical Modelling and Analysis, 14(3), 313-321. https://doi.org/10.3846/1392-6292.2009.14.313-321
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Copyright (c) 2009 The Author(s). Published by Vilnius Gediminas Technical University.
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2009-09-30
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Copyright
Copyright (c) 2009 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Kiriyatzkii, E., & Kirjackis, J. (2009). On some limit properties of functions with nonvanishing divided differences. Mathematical Modelling and Analysis, 14(3), 313-321. https://doi.org/10.3846/1392-6292.2009.14.313-321