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:
bulletin of the iranian mathematical society

جلد ۴۲، شماره ۴، صفحات ۹۷۵-۹۸۶

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