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arXiv 2408.15468math.FAmath.MG
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区间内自相似集上的Young型积分

A Young-type integration on self-similar sets in intervals

Takashi Maruyama, Tatsuki Seto

AI总结:

本文推广了闭区间自相似集上的Young积分,给出可积性充分条件,并证明了换元积分法、分部积分法与逐项积分法及相关实例。

摘要:

我们引入了闭区间中自相似集上Young积分的推广,并给出了其可积性的充分条件。我们还证明了换元积分法、分部积分法与逐项积分法,并给出了这些性质的实例。

英文摘要:

We introduce a generalization of the Young integration on self-similar sets defined in a closed interval and give a sufficient condition of its integrability. We also prove integration by substitution, integration by parts and term-by-term integration and give examples of the properties.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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