Sufficient conditions for uniform convergence of random series
Sufficient conditions for the uniform convergence of random series are obtained.
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.
In submitting the manuscript to the International Journal on Integrated Education (IJIE), the authors certify that:
- They are authorized by their co-authors to enter into these arrangements.
- The work described has not been formally published before, except in the form of an abstract or as part of a published lecture, review, thesis, or overlay journal.
- That it is not under consideration for publication elsewhere,
- The publication has been approved by the author(s) and by responsible authorities – tacitly or explicitly – of the institutes where the work has been carried out.
- They secure the right to reproduce any material that has already been published or copyrighted elsewhere.
- They agree to the following license and copyright agreement.
License and Copyright Agreement
Authors who publish with International Journal on Integrated Education (IJIE) agree to the following terms:
Authors retain copyright and grant the International Journal on Integrated Education (IJIE) right of first publication with the work simultaneously licensed under Creative Commons Attribution License (CC BY 4.0) that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
