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Journals / Turkish Journal of Mathematics / 2022 / Cilt: 46 - Sayı: 4

On nonhomogeneous geometric quadratic stochastic operators

Siti Nurlaili KARIM
Nasir GANIKHODJAEV
Nur Zatul Akmar HAMZAH
Pages
1397–1407
Publication Date
2022-11-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We have proved that such operator possesses the regular property.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we construct a nonhomogeneous geometric quadratic stochastic operator generated by 2- partition ξ on countable state space X = mathbb{Z}^∗.
📊
Key Findings & Data:The limiting behavior of such operator is studied.
💡
Conclusion & Impact:We have proved that such operator possesses the regular property.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we construct a nonhomogeneous geometric quadratic stochastic operator generated by 2- partition ξ on countable state space X = mathbb{Z}^∗. The limiting behavior of such operator is studied. We have proved that such operator possesses the regular property.

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Cite This Article

KARIM, S. N., GANIKHODJAEV, N., HAMZAH, N. Z. A. (2022). On nonhomogeneous geometric quadratic stochastic operators. Turkish Journal of Mathematics, Cilt: 46 - Sayı: 4, 1397–1407. https://ajindex.com/articles/607272

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