منابع مشابه
On lattices of convex sets in R
Properties of several sorts of lattices of convex subsets of Rn are examined. The lattice of convex sets containing the origin turns out, for n > 1, to satisfy a set of identities strictly between those of the lattice of all convex subsets of Rn and the lattice of all convex subsets of R. The lattices of arbitrary, of open bounded, and of compact convex sets in Rn all satisfy the same identitie...
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We call a local vector lattice any vector lattice with a distinguished positive strong unit and having exactly one maximal ideal (its radical). We provide a short study of local vector lattices. In this regards, some characterizations of local vector lattices are given. For instance, we prove that a vector lattice with a distinguished strong unit is local if and only if it is clean with non no-...
متن کاملLattices of convex normal functions
The algebra of truth values of type-2 fuzzy sets is the set of all functions from the unit interval into itself, with operations de ned in terms of certain convolutions of these functions with respect to pointwise max and min. This algebra has been studied rather extensively, both from a theoretical and from a practical point of view. It has a number of interesting subalgebras, and this paper i...
متن کاملSome Results on Convex Spectral Functions: I
In this paper, we give a fundamental convexity preserving for spectral functions. Indeed, we investigate infimal convolution, Moreau envelope and proximal average for convex spectral functions, and show that this properties are inherited from the properties of its corresponding convex function. This results have many applications in Applied Mathematics such as semi-definite programmings and eng...
متن کاملOn some Hadamard-type Inequalities for (h, r)-Convex Functions
In this paper, some inequalities Hadamard-type for (h, r)-convex functions are given. Furthermore, we also proved some Hadamard-type inequalities for product of two (h, r)-convex functions. Mathematics Subject Classification: 26D15
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1994
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500006027