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Real, Complex and Functional Analysis
An analog of Markov's theorem
I. A. Drozhzhin Tver State University, Tver
Abstract:
In the space of functions summable on a segment, the sign of the best approximation for approximation by elements of a finite-dimensional cone, which is analogue of the well-known theorem of Markov A.A.
Keywords:
banach space, closed convex set, summable function, best approximation, cone of finite dimension, extended cone, interpolation polynomial.
Received: 16.06.2017 Revised: 17.07.2017
Citation:
I. A. Drozhzhin, “An analog of Markov's theorem”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2017, no. 4, 73–83
Linking options:
https://www.mathnet.ru/eng/vtpmk190 https://www.mathnet.ru/eng/vtpmk/y2017/i4/p73
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Abstract page: | 201 | Full-text PDF : | 140 | References: | 28 |
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