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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Format: | Article |
Language: | English |
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Wiley
1991-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
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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 |