On statistical type convergence in uniform spaces

Authors

  • B. T. Bilalov Department of‎ ‎Non-harmonic analysis‎, ‎Institute of Mathematics and Mechanics of NAS of Azerbaijan‎, ‎9‎, ‎B.Vahabzade Str.‎, ‎AZ 1141‎, ‎Baku‎, ‎Azerbaijan.
  • T. Y. Nazarova Department of‎ ‎Non-harmonic analysis‎, ‎Institute of Mathematics and Mechanics of NAS of Azerbaijan‎, ‎9‎, ‎B‎. ‎Vahabzade Str.‎, ‎AZ 1141‎, ‎Baku‎, ‎Azerbaijan.
Abstract:

The concept of ${mathscr{F}}_{st}$-fundamentality is introduced in uniform spaces, generated by some filter ${mathscr{F}}$. Its equivalence to the concept of ${mathscr{F}}$-convergence in uniform spaces is proved. This convergence generalizes many kinds of convergence, including the well-known statistical convergence.

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Journal title

volume 42  issue 4

pages  975- 986

publication date 2016-08-01

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