Approximation of capacities with additive measures
Journal Title: Карпатські математичні публікації - Year 2017, Vol 9, Issue 1
Abstract
For a space of non-additive regular measures on a~metric compactum with the~Prokhorov-style metric, it is shown that the~problem of approximation of arbitrary measure with an~additive measure on a~fixed finite subspace reduces to linear optimization problem with parameters dependent on the~values of the~measure on a~finite number of sets. An algorithm for such an~approximation, which is more efficient than the~straighforward usage of simplex method, is presented.
Authors and Affiliations
O. R. Nykyforchyn, I. D. Hlushak
Keywords
Related Articles
- EP ID EP325093
- DOI 10.15330/cmp.9.1.92-97
- Views 83
- Downloads 0
Parabolic by Shilov systems with variable coefficients
Because of the parabolic instability of the Shilov systems to change their coefficients, the definition parabolicity of Shilov for systems with time-dependent $t$ coefficients, unlike the definition parabolicity of Petro...
On the convergence of multidimensional S-fractions with independent variables
In this paper, we investigate the convergence of multidimensional S-fractions with independent variables, which are a multidimensional generalization of S-fractions. These branched continued fractions are an efficient to...
ON A COMPLETE TOPOLOGICAL INVERSE POLYCYCLIC MONOID
We give sufficient conditions when a topological inverse l-polycyclic monoid Pl is absolutely Hclosed in the class of topological inverse semigroups. For every infinite cardinal l we construct the coarsest semigroup inve...
Geometry of hypersurfaces of a quarter symmetric non metric connection in a quasi-Sasakian manifold
The purpose of the paper is to study the notion of CR-submanifold and the existence of some structures on a hypersurface of a quarter symmetric non metric connection in a quasi-Sasakian manifold. We study the existence o...
On the dimension of vertex labeling of k-uniform dcsl of k-uniform caterpillar
A distance compatible set labeling (dcsl) of a connected graph $G$ is an injective set assignment $f : V(G) \rightarrow 2^{X},$ $X$ being a nonempty ground set, such that the corresponding induced function $f^{\oplus} :E...