Sufficient conditions for uniform convergence of random series

  • M. Akbarov Ferghana State University
  • Sh.O. Sobirov Ferghana State University
  • S. Kukieva Ferghana State University
DOI: https://doi.org/10.17605/ijie.v3i1.32
Keywords: Random field distribution, sequence of independent Gaussian random fields, sufficient conditions for uniform convergence of random series

Abstract

Sufficient conditions for the uniform convergence of random series are obtained.

References

Ito K., Nisio M., On the convergence of independent Banach space valued random variables. Osaka. J. Math, 5., № 5,1 968;.

Gikhman I.I., Skorohod A.V. Introduction to the theory of random processes. M. 1965 g;

Buldygin V.V. Convergence of random elements in topological spaces. Kiev, 1980, 238 s;

Yadrenko M.I. Spectral theory of random fields. Kiev, 1980, 207s;

Gelfrand I.M., Vilenkin N.Ya. Generalized functions. Iss. 4.1961.472;

Akbarov M. On the uniform distribution density of sub-Gaussian fields. Scientific Bulletin of FerSU, № 3-4, 2002 p. 5-8;

Buldygin V.V. On the compactness of probability measures and the uniform convergence of some random series. Math notes, vol. 12, No. 4, 1972.

Published
2020-03-01
How to Cite
[1]
M. Akbarov, Sh.O. Sobirov and S. Kukieva 2020. Sufficient conditions for uniform convergence of random series. International Journal on Integrated Education. 3, 1 (Mar. 2020), 32-34. DOI:https://doi.org/10.17605/ijie.v3i1.32.
Issue
Vol. 3 No. 1 (2020): IJIE
Section
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