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Notes on zygmund functions

In this paper we study a class of continuous functions satisfying a certain Zyg-mund condition dependent on a parameter γ > 0. It shown that the modulus of continuity of such functions is O(δ(log 1/δ)1-γ) if ∈ (0, 1) and O(δ(log log 1/δ )) if γ = 1. Moreover, these functions are differentiable if...

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Main Authors:	Akhadkulov, Habibulla, Mohd Salmi, Noorani, Saaban, Azizan, Akhatkulov, Sokhobiddin
格式:	Article
语言:	English
出版:	Academic Publications, Ltd. 2017
主题:	QA Mathematics
在线阅读:	http://repo.uum.edu.my/21982/1/IJPAM%20112%203%202017%20461%20488.pdf http://repo.uum.edu.my/21982/ http://doi.org/10.12732/ijpam.v112i3.3
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