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2012•DergiPark (Istanbul University)Open access

ON GENERALIZATIONS OF THE CONCEPT OF CONVEXITY

Gabil Adi̇lov, İlknur Yeşilce

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Abstract

In this article, the concept of convexity is considered. Generalizations of this concept, that were examined by different authors, are briefly given. In this paper, a study of two forms of abstract convexity is undertaken: one of which is B-convexity which was defined and analyzed by W. Briec and C. Horvath, the other being B−1 -convexity which is introduced and examined by us.

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What this paper is about

In this article, the concept of convexity is considered. Generalizations of this concept, that were examined by different authors, are briefly given. In this paper, a study of two forms of abstract convexity is undertaken: one of which is B-convexity which was defined and analyzed by W. Briec and C. Horvath, the other being B−1 -convexity which is introduced and examined by us.

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Available abstract

In this article, the concept of convexity is considered. Generalizations of this concept, that were examined by different authors, are briefly given. In this paper, a study of two forms of abstract convexity is undertaken: one of which is B-convexity which was defined and analyzed by W. Briec and C. Horvath, the other being B−1 -convexity which is introduced and examined by us.

Key concepts: Convexity, Mathematics, Pure mathematics, Mathematical economics, Combinatorics, Financial economics, Economics

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