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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 232, Pages 123–133
(Mi znsl3681)
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This article is cited in 2 scientific papers (total in 2 papers)
Estimates of the derivatives of $n$-convex functions
V. A. Malyshev Rybinsk State Aviation Technological Academy
Abstract:
In terms of nonlinear norm estimates, a qualitative refinement of the following known result is obtained: on the class of $n$-convex functions, the $L^1$-convergence implies the $C^{(n-2)}$-convergence. Bibl. 2 titles.
Received: 13.11.1995
Citation:
V. A. Malyshev, “Estimates of the derivatives of $n$-convex functions”, Investigations on linear operators and function theory. Part 24, Zap. Nauchn. Sem. POMI, 232, POMI, St. Petersburg, 1996, 123–133; J. Math. Sci. (New York), 92:1 (1998), 3622–3629
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https://www.mathnet.ru/eng/znsl3681 https://www.mathnet.ru/eng/znsl/v232/p123
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Abstract page: | 101 | Full-text PDF : | 48 |
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