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Generalized Convex Bodies of Revolution

Canadian Journal of Mathematics, 1967
The 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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Generating Convex Functions

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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Generalized Pseudo Convex Minmax Programming

OPSEARCH, 1998
Necessary 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

2006
This 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

2023
Giorgio Giorgi   +2 more
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Generalized Convexity

2017
Hernandez, Jorge Eliecer Hernandez   +1 more
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Generalized Convexities

2014
Adil Bagirov   +2 more
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A new convexity measure for polygons

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2004
Joviša Žunić, Paul L Rosin
exaly  

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