Results 271 to 280 of about 99,998 (314)

Convex sets and hypergraphs

Mathematical Notes of the Academy of Sciences of the USSR, 1991
See the review in Zbl 0724.05019.
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Convexity and convex sets

2010
The history of convexity History of convexity is rather astonishing, even paradoxical, and we explain why. On the one hand, the notion of convexity Convexity is extremely natural, so much so that we find it, for example, in works on artArt and anatomyAnatomy without it being defined.
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Optimization on directionally convex sets

Central European Journal of Operations Research, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Convex Sets and Convex Functions

2014
Convex sets and functions have been studied since the nineteenth century; the twentieth century literature on convexity began with Bonnesen and Fenchel’s book [1], subsequently reprinted as [2].
Dan A. Simovici, Chabane Djeraba
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On the Maximization of (not necessarily) Convex Functions on Convex Sets

Journal of Global Optimization, 2006
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Convex Sets and Convex Functions

2011
We have encountered convex sets and convex functions on several occasions. Here we would like to discuss these notions in a more systematic way. Among nonlinear functions, the convex ones are the closest ones to the linear, in fact, functions that are convex and concave at the same time are just the linear affine functions.
Mariano Giaquinta, Giuseppe Modica
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Convex Sets and Convex Functions

2002
This chapter explores sets that can be represented as intersections of (a possibly infinite number of) halfspaces of Rn . As will be shown, these are exactly the closed convex subsets. Furthermore, convex functions are studied, which are closely connected to convex sets and provide a natural generalization of linear functions.
Ulrich Faigle, Walter Kern, Georg Still
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Convex Sets and Convex Functions

2016
The first chapter introduces the fundamental concepts and conclusions of functional analysis so that readers can have a foundation for going on reading this book successfully and can also understand notations used in the book. The arrangement of this chapter is as follows: The first section deals with normed linear spaces and inner product spaces which
Zhengzhi Han, Xiushan Cai, Jun Huang
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TRANSLATING FINITE SETS INTO CONVEX SETS

Bulletin of the London Mathematical Society, 2001
Let X be a reflexive Banach space, and let C ⊂ X be a closed, convex and bounded set with empty interior. Then, for every δ > 0, there is a nonempty finite set F ⊂ X with an arbitrarily small diameter, such that C contains at most δ · |F| points of any translation of F.
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Convex Sets and Convex Functions

1979
Because of their useful properties, the notions of convex sets and convex functions find many uses in the various areas of Applied Mathematics. We begin with the basic definition of a convex set in n-dimensional Euclidean Space (En), where points are ordered n-tuples of real numbers such as x’ = (x1, x2,…, xn) and y’ = (y1, y2,…,yn).
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