On some limit properties of functions with nonvanishing divided differences
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...
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Vilnius Gediminas Technical University
2009-09-01
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| Series: | Mathematical Modelling and Analysis |
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| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/6552 |
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doaj-da3c59a2ed8d49d28578b7d3a06d9dfc2021-07-02T06:05:38ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102009-09-0114310.3846/1392-6292.2009.14.313-321On some limit properties of functions with nonvanishing divided differencesEduard Kiriyatzkii0J. Kirjackis1Vilnius Gediminas Technical University Sauletekio av.11, LT-10223, Vilnius, LithuaniaVilnius Gediminas Technical University Sauletekio av.11, LT-10223, Vilnius, Lithuania 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 https://journals.vgtu.lt/index.php/MMA/article/view/6552holomorphic functionsdivided differencelimit propertiesChebyshev systems |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Eduard Kiriyatzkii J. Kirjackis |
| spellingShingle |
Eduard Kiriyatzkii J. Kirjackis On some limit properties of functions with nonvanishing divided differences Mathematical Modelling and Analysis holomorphic functions divided difference limit properties Chebyshev systems |
| author_facet |
Eduard Kiriyatzkii J. Kirjackis |
| author_sort |
Eduard Kiriyatzkii |
| title |
On some limit properties of functions with nonvanishing divided differences |
| title_short |
On some limit properties of functions with nonvanishing divided differences |
| title_full |
On some limit properties of functions with nonvanishing divided differences |
| title_fullStr |
On some limit properties of functions with nonvanishing divided differences |
| title_full_unstemmed |
On some limit properties of functions with nonvanishing divided differences |
| title_sort |
on some limit properties of functions with nonvanishing divided differences |
| publisher |
Vilnius Gediminas Technical University |
| series |
Mathematical Modelling and Analysis |
| issn |
1392-6292 1648-3510 |
| publishDate |
2009-09-01 |
| description |
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
|
| topic |
holomorphic functions divided difference limit properties Chebyshev systems |
| url |
https://journals.vgtu.lt/index.php/MMA/article/view/6552 |
| work_keys_str_mv |
AT eduardkiriyatzkii onsomelimitpropertiesoffunctionswithnonvanishingdivideddifferences AT jkirjackis onsomelimitpropertiesoffunctionswithnonvanishingdivideddifferences |
| _version_ |
1721337871675162624 |