{"title":"由理想收敛定义的新a -广义序列空间和多赋范空间上的模函数序列","authors":"T. Jalal","doi":"10.12816/0010708","DOIUrl":null,"url":null,"abstract":"The object of this paper is to introduce a new class of ideal convergent (briefly I -convergent) sequence spaces using an infinite matrix, sequence of modulus functions and difference operator defined on n -normed spaces. We study these spaces for some linear topological structures and algebraic properties.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New A-Generalized Sequence Spaces Defined by Ideal Convergence and a Sequence of Modulus Functions on Multiple Normed Spaces\",\"authors\":\"T. Jalal\",\"doi\":\"10.12816/0010708\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The object of this paper is to introduce a new class of ideal convergent (briefly I -convergent) sequence spaces using an infinite matrix, sequence of modulus functions and difference operator defined on n -normed spaces. We study these spaces for some linear topological structures and algebraic properties.\",\"PeriodicalId\":210748,\"journal\":{\"name\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"volume\":\"2 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12816/0010708\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Open Problems in Computer Science and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12816/0010708","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New A-Generalized Sequence Spaces Defined by Ideal Convergence and a Sequence of Modulus Functions on Multiple Normed Spaces
The object of this paper is to introduce a new class of ideal convergent (briefly I -convergent) sequence spaces using an infinite matrix, sequence of modulus functions and difference operator defined on n -normed spaces. We study these spaces for some linear topological structures and algebraic properties.