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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Главный автор:	Ben Berckmoes
Формат:	Artigo
Язык:	Inglês
Опубликовано:	SpringerOpen 2016-09-01
Серии:	Journal of Inequalities and Applications
Предметы:	Arzelà-Ascoli theorem Chebyshev radius Hausdorff measure of noncompactness Jung’s theorem parametrized Prokhorov metric Prokhorov’s theorem
Online-ссылка:	http://link.springer.com/article/10.1186/s13660-016-1151-8
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