Multiple Interpolation by the Functions of Finite Order in the Half-Plane
| العنوان: | Multiple Interpolation by the Functions of Finite Order in the Half-Plane |
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| المؤلفون: | M. Kabanko, I. Kozlova, K. Malyutin |
| المصدر: | Lobachevskii Journal of Mathematics. 41:2211-2222 |
| بيانات النشر: | Pleiades Publishing Ltd, 2020. |
| سنة النشر: | 2020 |
| مصطلحات موضوعية: | Series (mathematics), Plane (geometry), Generalization, General Mathematics, ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION, MathematicsofComputing_NUMERICALANALYSIS, Lagrange polynomial, Order (ring theory), symbols.namesake, Product (mathematics), ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, symbols, Applied mathematics, ComputingMethodologies_COMPUTERGRAPHICS, Mathematics, Analytic function, Interpolation |
| الوصف: | The aim of this paper is to study the multiple interpolation problem in the spaces of analytical functions of finite order $$\rho>1$$ in the half-plane. The necessary and sufficient conditions for solvability of interpolation problem are obtained. These conditions are obtained in terms of the Nevanlinna product of interpolation nodes. The solution of the interpolation problem is constructed in the form of the Jones interpolation series, which is a generalization of the Lagrange interpolation series. |
| تدمد: | 1818-9962 1995-0802 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_________::9d73494b64a02ba9859af10006f85d89 https://doi.org/10.1134/s1995080220110141 |
| حقوق: | CLOSED |
| رقم الأكسشن: | edsair.doi...........9d73494b64a02ba9859af10006f85d89 |
| قاعدة البيانات: | OpenAIRE |
Find this article in full text from Springer Verlag. | تدمد: | 18189962 19950802 |
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