FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
On the asymptotics of the basic functions of a generalized Taylor series for some classes of infinitely differentiable functions |
V. A. Makarichev |
2011, issue 1, P. 56–75 |
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 $H_{?,s}$ is proved. The first term of the asymptotic expansions of these functions is obtained. |
Keywords: nonquasianalytic class, generalized Taylor series, basic functions, atomic function |
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References |
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