Properties of stochastic operators of order v on a finite-dimensional simplex
https://doi.org/10.26907/2541-7746.2024.4.651-659
Abstract
The necessary and sufficient conditions for stochasticity and bistochasticity of positive operators were analyzed. Key criteria for stochasticity of continuous positive operators in Rm were proved. The necessary and sufficient condition for these operators to be referred to as bistochastic was established.
About the Authors
Yu. Kh. Eshkabilov
Karshi State University
Uzbekistan
Uzbekistan
180119; Karshi
J. Z. Istamov
Karshi State University
Uzbekistan
Uzbekistan
180119; Karshi
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Review
For citations:
Eshkabilov Yu.Kh., Istamov J.Z. Properties of stochastic operators of order v on a finite-dimensional simplex. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. 2024;166(4):651-659. (In Russ.) https://doi.org/10.26907/2541-7746.2024.4.651-659
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