On lebesque nonlinear transformation with family of continuos measures

In this paper, we introduce a quadratic stochastic operators on the set of all probability measures of a measurable space. We study the dynamics of the Lebesque quadratic stochastic operator on the set of all Lebesque measures of the set [0,1] and prove the regularity of the Lebesque quadratic stoc...

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Bibliographic Details
Main Authors: Ganikhodjaev, Nasir, Jusoo, Siti Hasana
Format: Conference or Workshop Item
Language:English
English
English
Published: American Institute of Physics ( AIP publishing ) 2016
Subjects:
Online Access:http://irep.iium.edu.my/56927/
http://irep.iium.edu.my/56927/
http://irep.iium.edu.my/56927/7/AIP%20conference%20_complete.pdf
http://irep.iium.edu.my/56927/13/56927_On%20Lebesque%20nonlinear%20transformation_Scopus.pdf
http://irep.iium.edu.my/56927/19/56927%20On%20lebesque%20nonlinear%20transformation%20WOS.pdf
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Summary:In this paper, we introduce a quadratic stochastic operators on the set of all probability measures of a measurable space. We study the dynamics of the Lebesque quadratic stochastic operator on the set of all Lebesque measures of the set [0,1] and prove the regularity of the Lebesque quadratic stochastic operators.