Some remarks on Egoroff's theorem
Some remarks on Egoroff's theorem
The author defines the uniform convergence of sequences of functions with respect to so-called small systems. The notion of small systems was introduced by \textit{T. Neubrunn} and \textit{B. Riečan} in their book [Measure and integral (Slovak) (Bratislava 1981; Zbl 0485.28001)]. The paper contains several characterizations of this kind of convergence as well as a generalized version of classical Egoroff's theorem.
- Uniwersytet Łódzki (University of Lodz) Poland
- University of Łódź Poland
Convergence and divergence of series and sequences, Convergence and divergence of series and sequences of functions, Functions of one variable, convergence of sequences of functions, classical Egoroff's theorem
Convergence and divergence of series and sequences, Convergence and divergence of series and sequences of functions, Functions of one variable, convergence of sequences of functions, classical Egoroff's theorem
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