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...

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Bibliographic Details
Main Authors: Ganikhodjaev, Nasir, Muhitdinov, Ramazon, Saburov, Mansoor
Format: Article
Language:English
English
Published: Korean Mathematical Society 2017
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