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Dal'nevostochnyi Matematicheskii Zhurnal, 2011, Volume 11, Number 1, Pages 56–75
(Mi dvmg211)
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This article is cited in 1 scientific paper (total in 1 paper)
On the asymptotics of the basic functions of a generalized Taylor series for some classes of infinitely differentiable functions
V. A. Makarichev National Aerospace University "Kharkiv Aviation Institute"
Abstract:
The existence of the asymptotics of the basic functions $\varphi_{s,n,k}(x)$ and $\psi_{s,n,p}(x)$ of a generalized Taylor series for nonquasianalytic function class $H_{\rho,2}$ is proved. The first term of the asymptotic expansions of these functions is obtained.
Key words:
nonquasianalytic class, generalized Taylor series, basic functions, atomic function.
Received: 17.01.2011
Citation:
V. A. Makarichev, “On the asymptotics of the basic functions of a generalized Taylor series for some classes of infinitely differentiable functions”, Dal'nevost. Mat. Zh., 11:1 (2011), 56–75
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https://www.mathnet.ru/eng/dvmg211 https://www.mathnet.ru/eng/dvmg/v11/i1/p56
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Abstract page: | 450 | Full-text PDF : | 122 | References: | 67 | First page: | 1 |
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