Interpolation Methods for Stochastic Processes Spaces

Interpolation Methods for Stochastic Processes Spaces

The scales of classes of stochastic processes are introduced. New interpolation theorems and boundedness of some transforms of stochastic processes are proved. Interpolation method for generously monotonous processes is entered. Conditions and statements of interpolation theorems concern the fixed s...

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Main Authors: E. Nursultanov, T. Aubakirov
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/152043
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spelling doaj-ded45df1766249c8b7c97b9162817d182020-11-24T21:20:10ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/152043152043Interpolation Methods for Stochastic Processes SpacesE. Nursultanov0T. Aubakirov1Lomonosov Moscow State University (Kazakh Branch) and Gumilyov Eurasian National University, Munatpasova 7, Astana 010010, KazakhstanAutonomous Organization of Education Nazarbayev Intellectual Schools, Astana 010010, KazakhstanThe scales of classes of stochastic processes are introduced. New interpolation theorems and boundedness of some transforms of stochastic processes are proved. Interpolation method for generously monotonous processes is entered. Conditions and statements of interpolation theorems concern the fixed stochastic process, which differs from the classical results.http://dx.doi.org/10.1155/2013/152043
collection DOAJ
language English
format Article
sources DOAJ
author E. Nursultanov
T. Aubakirov
spellingShingle E. Nursultanov
T. Aubakirov
Interpolation Methods for Stochastic Processes Spaces
Abstract and Applied Analysis
author_facet E. Nursultanov
T. Aubakirov
author_sort E. Nursultanov
title Interpolation Methods for Stochastic Processes Spaces
title_short Interpolation Methods for Stochastic Processes Spaces
title_full Interpolation Methods for Stochastic Processes Spaces
title_fullStr Interpolation Methods for Stochastic Processes Spaces
title_full_unstemmed Interpolation Methods for Stochastic Processes Spaces
title_sort interpolation methods for stochastic processes spaces
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description The scales of classes of stochastic processes are introduced. New interpolation theorems and boundedness of some transforms of stochastic processes are proved. Interpolation method for generously monotonous processes is entered. Conditions and statements of interpolation theorems concern the fixed stochastic process, which differs from the classical results.
url http://dx.doi.org/10.1155/2013/152043
work_keys_str_mv AT enursultanov interpolationmethodsforstochasticprocessesspaces
AT taubakirov interpolationmethodsforstochasticprocessesspaces
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