Multiple interpolation with the fast-growing knots in the class of entire functions and its application
| Autor: | I. Sheparovych |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Iranian Journal of Numerical Analysis and Optimization, Vol 12, Iss 1, Pp 131-144 (2022) |
| Druh dokumentu: | article |
| ISSN: | 2423-6977 2423-6969 |
| DOI: | 10.22067/ijnao.2021.70074.1028 |
| Popis: | The conditions for the sequence of complex numbers (bn,k) are obtained, such that the interpolation problem g(k-1)(λn) = bn,k, k ∈ 1, s, n ∈ N, where |λk/λk+1| ≤ ∆ < 1, has a unique solution in some classes of entire functions g for which Mg(r) ≤ c1 exp ((s - 1)N(r) + N(ρ1r)), where N(r) is the counting function of the sequence (λn), ρ1 ∈ (∆; 1), and c1 > 0. Moreover, these results have been applied to the description of the solution of the differential equation f(s) +A0(z)f = 0 for which (λn) is zero-sequence and the coeffcient A0 is an entire function from the mentioned class. |
| Databáze: | Directory of Open Access Journals |
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