A discrete Stochastic Korovkin theorem

In this article we give a sufficient condition for the pointwise −− in the first mean Korovkin property on B0(P), the space of stochastic processes with real state space and countable index set Γ and bounded first moments.

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Main Author: George A. Anastassiou
Format: Article
Language:English
Published: Wiley 1991-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S016117129100090X
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author George A. Anastassiou
author_facet George A. Anastassiou
author_sort George A. Anastassiou
collection DOAJ
description In this article we give a sufficient condition for the pointwise −− in the first mean Korovkin property on B0(P), the space of stochastic processes with real state space and countable index set Γ and bounded first moments.
format Article
id doaj-art-78b66dd9ba0c47b0860afc74a9ffd3ae
institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 1991-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-78b66dd9ba0c47b0860afc74a9ffd3ae2025-02-03T01:24:30ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251991-01-0114467968210.1155/S016117129100090XA discrete Stochastic Korovkin theoremGeorge A. Anastassiou0Department of Mathematical Sciences, Memphis State University, Memphis 38152, Tennessee, USAIn this article we give a sufficient condition for the pointwise −− in the first mean Korovkin property on B0(P), the space of stochastic processes with real state space and countable index set Γ and bounded first moments.http://dx.doi.org/10.1155/S016117129100090Xpositive linear operatorstochastic processespointwise − in the first mean convergence.
spellingShingle George A. Anastassiou
A discrete Stochastic Korovkin theorem
International Journal of Mathematics and Mathematical Sciences
positive linear operator
stochastic processes
pointwise − in the first mean convergence.
title A discrete Stochastic Korovkin theorem
title_full A discrete Stochastic Korovkin theorem
title_fullStr A discrete Stochastic Korovkin theorem
title_full_unstemmed A discrete Stochastic Korovkin theorem
title_short A discrete Stochastic Korovkin theorem
title_sort discrete stochastic korovkin theorem
topic positive linear operator
stochastic processes
pointwise − in the first mean convergence.
url http://dx.doi.org/10.1155/S016117129100090X
work_keys_str_mv AT georgeaanastassiou adiscretestochastickorovkintheorem
AT georgeaanastassiou discretestochastickorovkintheorem