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Generalized Convex Bodies of Revolution
Canadian Journal of Mathematics, 1967The figures studied in this paper are special convex bodies in Euclidean three-dimensional space which we shall call generalized convex bodies of revolution (GCBR). Such a set is obtained by the following procedure. Let K1 be a convex body of revolution and let x, y, z denote Cartesian coordinates in a system for which the z-axis is the axis of K1.
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2001
A functional operation that generates convex functions on ℝ n +m from convex functions on ℝ n and ℝ m originated from the study of the multiplicative potential function. We review some of the properties of this functional operation, including associativity, right distributivity with respect to addition and left distributivity with respect to infimal ...
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A functional operation that generates convex functions on ℝ n +m from convex functions on ℝ n and ℝ m originated from the study of the multiplicative potential function. We review some of the properties of this functional operation, including associativity, right distributivity with respect to addition and left distributivity with respect to infimal ...
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Generalized Pseudo Convex Minmax Programming
OPSEARCH, 1998Necessary and sufficient optimality conditions are obtained for a general minmax problem under generalized pseudo convexity assumptions. A dual problem is also defined and weak and strong duality established under the aforesaid assumptions.
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Generalized Convexity and Generalized Derivatives
2006This chapter is devoted to the study of nonsmooth generalized convex functions with the help of special classes of generalized derivatives. Several results are presented on the links between generalized monotonicity of the generalized derivatives and generalized convexity of the functions under discussion.
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Convex Functions and Generalized Convex Functions
2023Giorgio Giorgi +2 more
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A new convexity measure for polygons
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2004Joviša Žunić, Paul L Rosin
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