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On Cubic Operators Defined on Finite-Dimensional Simplexes

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Abstract

We introduce the concept of cubic operator. For one class of cubic operators defined on finite-dimensional simplexes, a complete description of the behavior of their trajectories is given. The convergence of Cesaro means is established.

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of Uzbekistan, Tashkent, Uzbekistan

    U. A. Rozikov & A. Yu. Khamraev

Authors
  1. U. A. Rozikov
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  2. A. Yu. Khamraev
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 10, pp. 1424 – 1433, October, 2004.

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Rozikov, U.A., Khamraev, A.Y. On Cubic Operators Defined on Finite-Dimensional Simplexes. Ukr Math J 56, 1699–1711 (2004). https://doi.org/10.1007/s11253-005-0145-3

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  • DOI: https://doi.org/10.1007/s11253-005-0145-3

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