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可积性与实意义下的对数有界变差概念(英文)
Integrability and Logarithm Bounded Variation Concept in Real Sense
【摘要】 遵循在均值有界变差概念中取消正性的思想,本文对可积性作出了本质的拓广,并利用实意义下的对数有界变差条件推广了Boas和Heywood的经典定理.
【Abstract】 Following the idea to drop positivity in mean value bounded variation concept,this paper gives an essential extension to integrabilty,which generalizes a classical theorem of Boas and Heywood by using logarithm bounded variation condition in real sense.
【关键词】 可积性;
对数有界变差;
正性;
单调性;
【Key words】 integrability; logarithm bounded variation; positivity; monotonicity;
【Key words】 integrability; logarithm bounded variation; positivity; monotonicity;
【基金】 This research is supported by NSFC(No.11601110)
- 【文献出处】 数学进展 ,Advances in Mathematics , 编辑部邮箱 ,2017年03期
- 【分类号】O174.21
- 【下载频次】51