Carathéodory's and Helly's dimensions of products of convexity structures
Marek Lassak (1982)
Colloquium Mathematicae
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Displaying similar documents to “Convexity and a sum-product type estimate”
Carathéodory's and Helly's dimensions of products of convexity structures
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Sharp norm estimate of Schwarzian derivative for a class of convex functions
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We establish a sharp norm estimate of the Schwarzian derivative for a function in the classes of convex functions introduced by Ma and Minda [Proceedings of the Conference on Complex Analysis, Int. Press, 1992, 157-169]. As applications, we give sharp norm estimates for strongly convex functions of order α, 0 < α < 1, and for uniformly convex functions.
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