On the layer-by-layer uniform approximation of discretely continuous functions
1 Department of Mathematical Analysis, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
distinctively continuous function
Abstract
We found that many concrete separately and linearly continuous functions with an explicit construction of approximating sequences belong to the sequential closure $\overline{C}^s$ of the space $C$ of jointly continuous functions in the space of $S$ and show that there are separately continuous functions on $\overline{C}^s$ , which do not satisfy any of the sufficient conditions of belonging to $\overline{C}^s$ , which were previously obtained by the method of the linear interpolation.
Cite
- ACS Style
- Voloshyn, G.A.; Maslyuchenko, V.K. On the layer-by-layer uniform approximation of discretely continuous functions. Bukovinian Mathematical Journal. 2016, 4
- AMA Style
- Voloshyn GA, Maslyuchenko VK. On the layer-by-layer uniform approximation of discretely continuous functions. Bukovinian Mathematical Journal. 2016; 4(1-2).
- Chicago/Turabian Style
- Galina Arkadievna Voloshyn, Volodymyr Kyrylovych Maslyuchenko. 2016. "On the layer-by-layer uniform approximation of discretely continuous functions". Bukovinian Mathematical Journal. 4 no. 1-2.
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