On the Hausdorff measure of noncompactness for the parameterized Prokhorov metric

Abstract We quantify the Prokhorov theorem by establishing an explicit formula for the Hausdorff measure of noncompactness (HMNC) for the parameterized Prokhorov metric on the set of Borel probability measures on a Polish space. Furthermore, we quantify the Arzelà-Ascoli theorem by obtaining upper a...

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Autor principal:	Ben Berckmoes
Format:	Artigo
Idioma:	Inglês
Publicat:	SpringerOpen 2016-09-01
Col·lecció:	Journal of Inequalities and Applications
Matèries:	Arzelà-Ascoli theorem Chebyshev radius Hausdorff measure of noncompactness Jung’s theorem parametrized Prokhorov metric Prokhorov’s theorem
Accés en línia:	http://link.springer.com/article/10.1186/s13660-016-1151-8
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