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This article is cited in 1 scientific paper (total in 1 paper)
The best one-sided approximation of one class of functions by another
V. G. Doronin, A. A. Ligun Dnepropetrovsk State University
Abstract:
We concern ourselves with problems of the best one-sided approximation of classes of continuous functions. We obtain estimates of the best one-sided approximation of one class of functions by another, and we find exact values of the upper bounds of the best one-sided approximations on the classes $H_\omega$ of $2\pi$-periodic functions [given by an arbitrary convex modulus of continuity $\omega(t)$] by trigonometric polynomials of order not higher than $n-1$ in the $L_{2\pi}$ metric.
Received: 12.03.1973
Citation:
V. G. Doronin, A. A. Ligun, “The best one-sided approximation of one class of functions by another”, Mat. Zametki, 14:5 (1973), 627–632; Math. Notes, 14:5 (1973), 919–922
Linking options:
https://www.mathnet.ru/eng/mzm9947 https://www.mathnet.ru/eng/mzm/v14/i5/p627
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Abstract page: | 135 | Full-text PDF : | 64 | First page: | 1 |
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