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Matematicheskie Zametki, 1968, Volume 4, Issue 3, Pages 281–290
(Mi mzm9448)
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This article is cited in 1 scientific paper (total in 1 paper)
On a property of $N$-functions
D. V. Salekhov Voronezh Engineering-Construction Institute
Abstract:
We consider three classes of $N$-functions: $(\Delta')$, the class of functions satisfuing the $\Delta'$ condition, $(\Delta_2)$, the class of functions satisfuing the $\Delta_2$ condition, and $(M_\Delta)$, the class of functions $M(u)$ satisfying the condition: $\lim\limits_{u\to\infty}\ln M(u)/\ln u =p<\infty$. We establish the connection between the class of powers and the class of $N$-functions $M(u)$ which belong to the class $(\Delta')$ together with their complementary functions and we also establish the connections between the classes $(\Delta')$, $(M_\Delta)$ and $(\Delta_2)$.
Received: 05.02.1968
Citation:
D. V. Salekhov, “On a property of $N$-functions”, Mat. Zametki, 4:3 (1968), 281–290; Math. Notes, 4:3 (1968), 662–667
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https://www.mathnet.ru/eng/mzm9448 https://www.mathnet.ru/eng/mzm/v4/i3/p281
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Abstract page: | 140 | Full-text PDF : | 75 | First page: | 1 |
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