Titlebook: Non-Connected Convexities and Applications; Gabriela Cristescu,Liana Lup?a Book 2002 Springer Science+Business Media Dordrecht 2002 Convex

繁殖

ferment

變化無常

1384-6485 heir only choice was to write this book, to fill a gap in the mathematicalliterature. The idea of convexity has appeared in the human mind since the antiquity and its fertility has led to a huge diversity of notions and of applications. A student intending a thoroughgoing study of convexity has the

Alopecia-Areata

Alternative theorems and integer convex setse called the discrete polyhedral set attached to S. The set S is always classically convex. Chapter 2 proved that SI is not classically convex but it is convex with respect to Z.. Conversely, if X ? Z. is an integer convex set, then the set conv (X) is an integer polyhedral set.

Leaven

Munificent

Applications in optimisationons or necessary and sufficient conditions for a feasible solution of mathematical programming problem to be an optimal solution. Also it allows the elaboration of some duality theorems for discrete programming problem, where the feasible solution is a discrete polyhedral set, integer convex, of n dimension.

內(nèi)行

The fields of non-connected convexity propertiesMany directions of generalisation of the convexity appeared, some of them allowing an axiomatic approach, as it can be seen in the above mentioned books. Others apply to sets with less geometrical properties, for example not connected sets from the necessity of extending the tools provided by the convexity to more general frameworks.

漸強(qiáng)

Behaviours. Convexity with respect to a behaviourlise the property of convexity of a function. The main results in this direction are written in the papers of E. Moldovan (1955, 1958,1959) and E. Popoviciu (1969, 1972, 1983). Her disciples, M. Ivan (1975, 1980, 1982) and R. Precup (1984, 1995) gave applications of this concept in interpolation and approximation.

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