Δ-quasi-slowly oscillating continuity

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摘要

In this paper, a new concept of Δ-quasi-slowly oscillating continuity is introduced. Furthermore, it is shown that this kind of continuity implies ordinary continuity. A new type of compactness is also defined and some new results related to compactness are proved.

论文关键词:Slowly oscillating continuity,Δ-quasi-slowly oscillating continuity,Slowly oscillating sequences,Quasi-slowly oscillating sequences

论文评审过程:Available online 8 April 2010.

论文官网地址:https://doi.org/10.1016/j.amc.2010.03.137