ON LEBESGUE NONLINEAR TRANSFORMATIONS

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 quadr...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2017, 54(2), , pp.607-618
Hauptverfasser: Ganikhodjaev, Nasir, Muhitdinov, Ramazon, Saburov, M.
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung: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. KCI Citation Count: 3
ISSN:1015-8634
2234-3016
DOI:10.4134/BKMS.b160212