On Lebesgue nonlinear transformations
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 Lebesgue quadratic stochastic operator on the set of all Lebesgue measures of the set [0, 1]. Namely, we prove the regularity of the Lebesgue qu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
| Published: |
Korean Mathematical Society
2017
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/56256/ http://irep.iium.edu.my/56256/ http://irep.iium.edu.my/56256/1/B16-0212_Reprint.pdf http://irep.iium.edu.my/56256/7/56256-ON%20LEBESGUE%20NONLINEAR%20TRANSFORMATIONS_SCOPUS.pdf |
| 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 Lebesgue quadratic stochastic operator on the set of
all Lebesgue measures of the set [0, 1]. Namely, we prove the regularity
of the Lebesgue quadratic stochastic operators |
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