Separately continuous functions: approximations, extensions, and restrictions
Zbigniew Piotrowski and
Robert W. Vallin
International Journal of Mathematics and Mathematical Sciences, 2003, vol. 2003, 1-9
Abstract:
A function f ( x , y ) is separately continuous if at any point the restricted functions f x ( y ) and f y ( x ) are continuous as functions of one variable. In this paper, we use several results which have been obtained for other generalized continuities and apply them to functions which are separately continuous.
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:248324
DOI: 10.1155/S0161171203208346
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