One Two-Sided Residue Interpolation for Matrix-ValuedH2-Functions with Symmetries

Linear preservers of two-sided matrix majorization

For vectors X, <span style="fon...

One-Sided Approximation of Functions

where :Yl denotes the orthogonal complement of Y (see [I]). Another example of this type of duality appears in one of the classical moment problems. Letfbe Bore1 measurable and bounded on [a,b], h,, . . ., h, a CebySev system on [a,b] and for a given positive Bore1 measure yO defined on [a,b] denote by C (y,,) the class of all positive Bore1 measures y which satisfy f.bhkdy=[hkdyo k= 1,2 ,..., ...

One - sided Versus Two - sided Error in

On one-sided versus two-sided classification

One-sided classiiers are computable devices which read the characteristic function of a set and output a sequence of guesses which converges to 1 ii the set on the input belongs to the given class. Such a classiier is two-sided if the sequence of its output in addition converges to 0 on sets not belonging to the class. The present work obtains the below mentioned results for one-sided classes (...

Popular Matchings with Two-Sided Preferences and One-Sided Ties

We are given a bipartite graph G = (A ∪ B,E) where each vertex has a preference list ranking its neighbors: in particular, every a ∈ A ranks its neighbors in a strict order of preference, whereas the preference lists of b ∈ B may contain ties. A matching M is popular if there is no matching M ′ such that the number of vertices that prefer M ′ to M exceeds the number that prefer M to M ′. We sho...