{"title":"区间自相似集上的杨式积分","authors":"Takashi Maruyama, Tatsuki Seto","doi":"arxiv-2408.15468","DOIUrl":null,"url":null,"abstract":"We introduce a generalization of the Young integration on self-similar sets\ndefined in a closed interval and give a sufficient condition of its\nintegrability. We also prove integration by substitution, integration by parts\nand term-by-term integration and give examples of the properties.","PeriodicalId":501444,"journal":{"name":"arXiv - MATH - Metric Geometry","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Young type integration on self-similar sets in intervals\",\"authors\":\"Takashi Maruyama, Tatsuki Seto\",\"doi\":\"arxiv-2408.15468\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce a generalization of the Young integration on self-similar sets\\ndefined in a closed interval and give a sufficient condition of its\\nintegrability. We also prove integration by substitution, integration by parts\\nand term-by-term integration and give examples of the properties.\",\"PeriodicalId\":501444,\"journal\":{\"name\":\"arXiv - MATH - Metric Geometry\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Metric Geometry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.15468\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Metric Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.15468","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A Young type integration on self-similar sets in intervals
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.
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