On a Gauss-Kuzmin-Type Problem For a Generalized Gauss-Kuzmin Operator

A generalized limit probability measure associated with a random system with complete connections for a generalized Gauss-Kuzmin operator, only for a special case, is defined, and its behaviour is investigated. As a consequence a specific version of Gauss-Kuzmin-type problem for the above generalize...

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Main Author: Chrysoula Ganatsiou
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2011/514746
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author Chrysoula Ganatsiou
author_facet Chrysoula Ganatsiou
author_sort Chrysoula Ganatsiou
collection DOAJ
description A generalized limit probability measure associated with a random system with complete connections for a generalized Gauss-Kuzmin operator, only for a special case, is defined, and its behaviour is investigated. As a consequence a specific version of Gauss-Kuzmin-type problem for the above generalized operator is obtained.
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institution Kabale University
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1687-0425
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publishDate 2011-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-ffcd9dc9300145fa8f91616a123515692025-02-03T05:47:33ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/514746514746On a Gauss-Kuzmin-Type Problem For a Generalized Gauss-Kuzmin OperatorChrysoula Ganatsiou0Section of Mathematics and Statistics, Department of Civil Engineering, School of Technological Sciences, University of Thessaly, Pedion Areos, 38334 Volos, GreeceA generalized limit probability measure associated with a random system with complete connections for a generalized Gauss-Kuzmin operator, only for a special case, is defined, and its behaviour is investigated. As a consequence a specific version of Gauss-Kuzmin-type problem for the above generalized operator is obtained.http://dx.doi.org/10.1155/2011/514746
spellingShingle Chrysoula Ganatsiou
On a Gauss-Kuzmin-Type Problem For a Generalized Gauss-Kuzmin Operator
International Journal of Mathematics and Mathematical Sciences
title On a Gauss-Kuzmin-Type Problem For a Generalized Gauss-Kuzmin Operator
title_full On a Gauss-Kuzmin-Type Problem For a Generalized Gauss-Kuzmin Operator
title_fullStr On a Gauss-Kuzmin-Type Problem For a Generalized Gauss-Kuzmin Operator
title_full_unstemmed On a Gauss-Kuzmin-Type Problem For a Generalized Gauss-Kuzmin Operator
title_short On a Gauss-Kuzmin-Type Problem For a Generalized Gauss-Kuzmin Operator
title_sort on a gauss kuzmin type problem for a generalized gauss kuzmin operator
url http://dx.doi.org/10.1155/2011/514746
work_keys_str_mv AT chrysoulaganatsiou onagausskuzmintypeproblemforageneralizedgausskuzminoperator