On the Hausdorff measure of noncompactness for the parameterized Prokhorov metric

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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Bibliographic Details
Main Author: Ben Berckmoes
Format: Article
Language:English
Published: SpringerOpen 2016-09-01
Series:Journal of Inequalities and Applications
Subjects:
Arzelà-Ascoli theorem
Chebyshev radius
Hausdorff measure of noncompactness
Jung’s theorem
parametrized Prokhorov metric
Prokhorov’s theorem
Online Access:http://link.springer.com/article/10.1186/s13660-016-1151-8

Internet

http://link.springer.com/article/10.1186/s13660-016-1151-8

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