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In this paper, we discuss extensions of the geometric and algebraic definitions of a convex set to the case of more general coefficient rings. In particular, we ...
In this paper, we discuss extensions of the geometric and algebraic definitions of a convex set to the case of more general coefficient rings. In particular, we ...
We introduce a new concept of an algebraic closure of “geometric” convex subsets of affine spaces over the subdomains in question, and investigate their.
Chapter 4 deals with the relationship of optimality conditions and generalized convexity. One of the reasons for a study of generalized convexity is that ...
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Some properties of generalized convexity for sets and functions are identified in case of the reliability polynomials of two dual minimal networks.
We study the dependence of -convexity on and and give sufficient conditions for -convexity of functions defined by Maclaurin series.
We give some necessary and sufficient conditions for an n-1 times differentiable function to be a generalized convex function with respect to an unrestricted n- ...
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Before formally stating the generalized convexity condition, we review some classical definitions and results involving generalized means. Let us assume ...
Czédli and A. Romanowska, Generalized convexity and closure condition, submitted. V. V. Ignatov, Quasivarieties of convexors, (in. Russian), Izv.
In mathematics, a real-valued function is called convex if the line segment between any two distinct points on the graph of the function lies above or on the ...