supremum


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supremum

(suːˈpriːməm)
n
the smallest quantity greater than or equal to each member of a set or subset
References in periodicals archive ?
Agler, Lykova, and Young determine the holomorphic retractions of the symmetrized bidisc and its subsets, which permit the extension of holomorphic functions without an increase of the supremum norm.
(1) The supremum is the maximum test statistic over the range of possible break dates.
Since supremum of each T, I, F is 1 so the inequality [mathematical expression not reproducible] is obvious.
In order to overcome this difficulty, parameter-uniform numerical methods are designed so that for all N [greater than or equal to] [N.sub.0], where N is the number of mesh-intervals and [N.sub.0] is some positive integer independent of [epsilon], the error constant and order of convergence measured in the discrete supremum norm are independent of [epsilon].
Using the same method as Kreps and Scheinkman (1983), (8) it can be shown that in equilibrium these two distributions have the same supremum and infimum, denoted by [p.sup.H] and [p.sup.L].
In 2016 [11] Tantawy and Hassan studied some basic operations like supremum and infimum in soft setting.
The infim um and supremum of [??] = [a, b] are [x.bar] = a and [bar.x] = b, respectively.
For higher rank matrices, [ii.sub.3] is evaluated on each 3 x 3 matrix, taking the supremum of the obtained values.
Let [mathematical expression not reproducible], Banach space of real bounded sequences [mathematical expression not reproducible] and supremum norm
Let [l.sub.i] and [[mu].sub.i] be the essential infimum and essential supremum of a random variable [X.sub.i], X = ([X.sub.1],..., [X.sub.n]) is a fixed random vector in [mathematical expression not reproducible], then X is mutually exclusive.