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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 314, Pages 155–173
(Mi znsl754)
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This article is cited in 5 scientific papers (total in 5 papers)
Inequalities for majorizing analytical functions
A. V. Olesov Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Abstract:
For analytic functions satisfying Meyman's majorization conditions, with the use of classical properties of conformal mappings exact inequalities complementing and strengthening the results of Akhiezer and Meyman are derived. As a corollary, for the modulus of the derivative of a rationally-trigonometric function a Bernstein type bound, which implies the result by Borwein, Erdélyi, and Zhang, is obtained.
Received: 19.04.2004
Citation:
A. V. Olesov, “Inequalities for majorizing analytical functions”, Analytical theory of numbers and theory of functions. Part 20, Zap. Nauchn. Sem. POMI, 314, POMI, St. Petersburg, 2004, 155–173; J. Math. Sci. (N. Y.), 133:6 (2006), 1693–1703
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Abstract page: | 260 | Full-text PDF : | 67 | References: | 34 |
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