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Contemporary Mathematics. Fundamental Directions, 2024, Volume 70, Issue 4, Pages 597–609
DOI: https://doi.org/10.22363/2413-3639-2024-70-4-597-609 (Mi cmfd561) 		 
Interpolation by Earl's method in the space of functions of semi-formal order

M. V. Kabanko, K. G. Malyutin

Kursk State University, Kursk, Russia
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DOI: https://doi.org/10.22363/2413-3639-2024-70-4-597-609
Abstract: We consider the problem of simple free interpolation in the space of functions of finite order and normal type in a half-plane. We propose its solution by the method of shifting interpolation nodes. This solution is based on Earl's method, who solved the problem of free interpolation in the space of analytic bounded functions in a unit circle.
Keywords: free interpolation, finite order function, shift of interpolation nodes, Earl's method.
Funding agency Grant number
Russian Science Foundation 24-21-00006
The second author's research was supported by the Russian Science Foundation, grant No. 24-21-00006, https://rscf.ru/project/24-21-00006/.
Bibliographic databases:
Document Type: Article
UDC: 517.53
Language: Russian
Citation: M. V. Kabanko, K. G. Malyutin, “Interpolation by Earl's method in the space of functions of semi-formal order”, Proceedings of the Voronezh Winter Mathematical Krein School — 2024, CMFD, 70, no. 4, PFUR, M., 2024, 597–609
Citation in format AMSBIB
\Bibitem{KabMal24}
\by M.~V.~Kabanko, K.~G.~Malyutin
\paper Interpolation by Earl's method in the space of functions of semi-formal order
\inbook Proceedings of the Voronezh Winter Mathematical Krein School — 2024
\serial CMFD
\yr 2024
\vol 70
\issue 4
\pages 597--609
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd561}
\crossref{https://doi.org/10.22363/2413-3639-2024-70-4-597-609}
\edn{https://elibrary.ru/WBOQMN}
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