On approximation of the separately continuous functions $2pi$-periodical in relation to the second variable

On approximation of the separately continuous functions $2pi$-periodical in relation to the second variable

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Using Jackson's and Bernstein's operators we prove that forevery topological space $X$ and an arbitrary separately continuous function $f: X imes mathbb{R}ightarrow mathbb{R}$,$2pi$-periodical in relation to the second variable, thereexists such sequence of jointly continuous functions $...

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Bibliographic Details
Main Authors: H. A. Voloshyn, V. K. Maslyuchenko
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2010-06-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/34/30

Internet

http://journals.pu.if.ua/index.php/cmp/article/view/34/30

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