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Matematicheskie Zametki, 1968, Volume 3, Issue 3, Pages 261–269
(Mi mzm6677)
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Local properties of sums of certain random series
Yu. V. Kozachenko Mathematics Institute, Academy of Sciences of the Ukrainian SSR
Abstract:
Conditions are given which insure the uniform convergence of random series of the form $S(x)=\sum_{n=0}^\infty\xi_nP_n(x)$ , where $P_n(x)$ is a trigonometric polynomial of degree $n$. Conditions are also given under which $S(x)$ satisfies Hölder's conditions.
Received: 04.08.1967
Citation:
Yu. V. Kozachenko, “Local properties of sums of certain random series”, Mat. Zametki, 3:3 (1968), 261–269; Math. Notes, 3:3 (1968), 167–172
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https://www.mathnet.ru/eng/mzm6677 https://www.mathnet.ru/eng/mzm/v3/i3/p261
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Abstract page: | 318 | Full-text PDF : | 94 | First page: | 1 |
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