The Experts below are selected from a list of 303 Experts worldwide ranked by ideXlab platform
V. Ravichandran - One of the best experts on this subject based on the ideXlab platform.
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Convex combination of analytic functions
Open Mathematics, 2017Co-Authors: Nak Eun Cho, Naveen Kumar Jain, V. RavichandranAbstract:Abstract Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the Identity Map and a normalized convex function F given by f(z) = α z+(1−α)F(z).
Nak Eun Cho - One of the best experts on this subject based on the ideXlab platform.
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Convex combination of analytic functions
Open Mathematics, 2017Co-Authors: Nak Eun Cho, Naveen Kumar Jain, V. RavichandranAbstract:Abstract Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the Identity Map and a normalized convex function F given by f(z) = α z+(1−α)F(z).
Michel Talagrand - One of the best experts on this subject based on the ideXlab platform.
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Cotype and ( q , 1)-summing norm in a Banach space
Inventiones Mathematicae, 1992Co-Authors: Michel TalagrandAbstract:We use modern probabilistic methods to gain a better understanding of what it means that a Banach space fails to be of cotypeq,q>2. In particular, we prove that a Banach space is of cotypeq if and only if the Identity Map is (q, 1)-summing. (In a previous work, we had shown that this fails forq=2.)
Naveen Kumar Jain - One of the best experts on this subject based on the ideXlab platform.
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Convex combination of analytic functions
Open Mathematics, 2017Co-Authors: Nak Eun Cho, Naveen Kumar Jain, V. RavichandranAbstract:Abstract Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the Identity Map and a normalized convex function F given by f(z) = α z+(1−α)F(z).
Imed Zaguia - One of the best experts on this subject based on the ideXlab platform.
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The Order on the Rationals has an Orthogonal Order with the Same Order Type
Order, 2011Co-Authors: Norbert Sauer, Imed ZaguiaAbstract:Two orders on the same set are orthogonal if the constant Maps and the Identity Map are the only Maps preserving both orders. We construct linear orders orthogonal to the order on the rationals.
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Weak orders admitting a perpendicular linear order
Discrete Mathematics, 2007Co-Authors: Maurice Pouzet, Imed ZaguiaAbstract:Two orders on the same set are perpendicular if the constant Maps and the Identity Map are the only Maps preserving both orders. We characterize the finite weak orders admitting a perpendicular linear order.