Results 231 to 240 of about 4,941 (262)

The Generation of Convex Sets—Convex Hulls

1979
In this chapter a new operation—comparable in importance to the interior and closure operations—is introduced. It operates on each set S to produce a convex set—the convex hull of S—acting as a veritable machine for the generation of convex sets. In effect it expands an arbitrary set into a convex set in the simplest possible way.
Walter Prenowitz, James Jantosciak
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Note on Generalized Convex Spaces

2011
Some examples are given to show that some known generalized convex spaces are so abstract that some basic properties related to the convexity are lost. In order to improve the convexity structure for applications, the concepts of path-convex space, path-convex set and path-convex function are introduced. And their properties are discussed.
Xiaodong Fan, Yue Cheng
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Convex Generalized Differentiation

2022
Boris S. Mordukhovich, Nguyen Mau Nam
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Generalized Convexity

SIAM Journal on Mathematical Analysis, 1980
Gudder, S., Schroeck, F.
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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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Generalized Fejér–Hermite–Hadamard type via generalized (h−m)-convexity on fractal sets and applications

Chaos, Solitons and Fractals, 2021
Adem Kiliçman
exaly  

Generalizations of convexity

1978
I consider four generalizations of the concept of a convex set in Rd. A subset X of R belongs to the family T(a) if for all x, y e X ax + (1 -a)y e X where a e R. Properties of elements of T(a) are considered in Chapter 1.Also in Chapter 1 a planar generalization of the family T(a) is considered.
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Convex Functions and Generalized Convex Functions

2023
Giorgio Giorgi, Bienvenido Jiménez, Vicente Novo   +2 more
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A Generalized Theory of Convexity

Proceedings of the London Mathematical Society, 1967
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A survey of recent[1985-1995]advances in generalized convexity with applications to duality theory and optimality conditions

Optimization, 1997
Rita Pini
exaly