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Punjab University Journal of Mathematics
Holder continuity of cellerier’s non-differentiable function.
Author(s)
Ebrahim Esrafilian
Mathematics Department, University Science & Technology, Narmak, Tehran, Iran
Abdullah Shidfar
Mathematics Department, University Science & Technology, Narmak, Tehran, Iran
Abstract
In this paper, we show that Cellerier’s nowhere differentiable function is everywhere continuous in the Holder sense. The result is used to construct a Lyapunov surface which is non-regular in the Kellogg sense at any of its points.
Publication Details
Page(s)
118-121
DOI
DOI not available
Published
Journal: Punjab University Journal of Mathematics, Volume: 28, Issue: , Year: 1995
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