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Zapiski Nauchnykh Seminarov POMI, 1996, Volume 232, Pages 33–49
(Mi znsl3674)
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This article is cited in 1 scientific paper (total in 1 paper)
Sharp inequalities for the second modulus of continuity of periodic functions and of functions extended from the segment
O. L. Vinogradov St. Petersburg State University
Abstract:
Sharp estimates for the deviation of some positive operators on the space of $2\pi$-periodic continuous functions are obtained in terms of the second modulus of continuity. The sharp constant in the problem of extending functions with preservation of the second modulus of continuity is found. Bibl. 5 titles.
Received: 20.02.1995
Citation:
O. L. Vinogradov, “Sharp inequalities for the second modulus of continuity of periodic functions and of functions extended from the segment”, Investigations on linear operators and function theory. Part 24, Zap. Nauchn. Sem. POMI, 232, POMI, St. Petersburg, 1996, 33–49; J. Math. Sci. (New York), 92:1 (1998), 3560–3572
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https://www.mathnet.ru/eng/znsl3674 https://www.mathnet.ru/eng/znsl/v232/p33
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Abstract page: | 169 | Full-text PDF : | 68 |
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