Akhadkulov, Habibulla and Mohd Salmi, Noorani and Saaban, Azizan and Akhatkulov, Sokhobiddin (2017) Notes on zygmund functions. International Journal of Pure and Applied Mathematics, 112 (3). pp. 481-488. ISSN 1311-8080

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Abstract

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 γ > 1. These results extend the results in literatures [4], [5].

Item Type:	Article
Uncontrolled Keywords:	Zygmund functions, modulus of continuity, differentiability
Subjects:	Q Science > QA Mathematics
Divisions:	School of Quantitative Sciences
Depositing User:	Dr. Azizan Saaban
Date Deposited:	07 May 2017 07:16
Last Modified:	07 May 2017 07:16
URI:	https://repo.uum.edu.my/id/eprint/21982

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