支离破碎功能和支离破碎功能均有功能性

Albert Mario Kumanireng, A. Zulijanto
{"title":"支离破碎功能和支离破碎功能均有功能性","authors":"Albert Mario Kumanireng, A. Zulijanto","doi":"10.24198/jmi.v19.n1.45047.55-66","DOIUrl":null,"url":null,"abstract":"study some properties of fragmented functions and functionally countably fragmented functions. Using regular transfinite sequences, we prove that the set of all real-valued fragmented functions and the set of all real-valued functionally countably fragmented functions is a ring. We also prove a property of fragmented function (functionally countably fragmented function) which is analogous to Weierstrass M-Test Theorem. Furthermore, we provide an imposed condition such that a functionally countably fragmented function is continuous.","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Sifat-sifat Fungsi Terfragmentasi dan Fungsi Terfragmentasi Terhitung Fungsional\",\"authors\":\"Albert Mario Kumanireng, A. Zulijanto\",\"doi\":\"10.24198/jmi.v19.n1.45047.55-66\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"study some properties of fragmented functions and functionally countably fragmented functions. Using regular transfinite sequences, we prove that the set of all real-valued fragmented functions and the set of all real-valued functionally countably fragmented functions is a ring. We also prove a property of fragmented function (functionally countably fragmented function) which is analogous to Weierstrass M-Test Theorem. Furthermore, we provide an imposed condition such that a functionally countably fragmented function is continuous.\",\"PeriodicalId\":53096,\"journal\":{\"name\":\"Jurnal Matematika Integratif\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-06-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Jurnal Matematika Integratif\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24198/jmi.v19.n1.45047.55-66\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Jurnal Matematika Integratif","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24198/jmi.v19.n1.45047.55-66","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0

摘要

研究了分段函数和函数可数分段函数的一些性质。利用正则trans-finite序列,我们证明了所有实值分段函数集和所有实值函数可数分段函数集是一个环。我们还证明了分段函数(函数可数分段函数)的一个性质,它类似于Weierstrass M-检验定理。此外,我们提供了一个附加条件,使得函数可数碎片函数是连续的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Sifat-sifat Fungsi Terfragmentasi dan Fungsi Terfragmentasi Terhitung Fungsional
study some properties of fragmented functions and functionally countably fragmented functions. Using regular transfinite sequences, we prove that the set of all real-valued fragmented functions and the set of all real-valued functionally countably fragmented functions is a ring. We also prove a property of fragmented function (functionally countably fragmented function) which is analogous to Weierstrass M-Test Theorem. Furthermore, we provide an imposed condition such that a functionally countably fragmented function is continuous.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
20
审稿时长
12 weeks
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信