On approximation of the separately continuous functions $2\pi$-periodical in relation to the second variable
Using Jackson's and Bernstein's operators we prove that for every topological space $X$ and an arbitrary separately continuous function $f: X \times \mathbb{R}\rightarrow \mathbb{R}$, $2\pi$-periodical in relation to the second variable, there exists such sequence of jointly continuous f...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Vasyl Stefanyk Precarpathian National University
2013-01-01
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Series: | Karpatsʹkì Matematičnì Publìkacìï |
Online Access: | http://journals.pu.if.ua/index.php/cmp/article/view/34 |