{"title":"论中性规范空间中双序列的理想收敛性","authors":"C. Choudhury, Carlos Granados","doi":"10.56947/gjom.v15i2.1394","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce the notion of I2 and I∗2−convergence of double sequences in neutrosophic normed spaces mainly as a generalization of statistical convergence of double sequences. We investigate a few fundamental properties and study the relationship between the two notions. We also introduce and investigate the concept of I2 and I∗2−Cauchy sequence of double sequences and show that the condition (AP2) plays a crucial role to study the interrelationship between them.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"13 2","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On ideal convergence of double sequences in neutrosophic normed spaces\",\"authors\":\"C. Choudhury, Carlos Granados\",\"doi\":\"10.56947/gjom.v15i2.1394\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce the notion of I2 and I∗2−convergence of double sequences in neutrosophic normed spaces mainly as a generalization of statistical convergence of double sequences. We investigate a few fundamental properties and study the relationship between the two notions. We also introduce and investigate the concept of I2 and I∗2−Cauchy sequence of double sequences and show that the condition (AP2) plays a crucial role to study the interrelationship between them.\",\"PeriodicalId\":421614,\"journal\":{\"name\":\"Gulf Journal of Mathematics\",\"volume\":\"13 2\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-11-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Gulf Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56947/gjom.v15i2.1394\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gulf Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56947/gjom.v15i2.1394","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On ideal convergence of double sequences in neutrosophic normed spaces
In this paper, we introduce the notion of I2 and I∗2−convergence of double sequences in neutrosophic normed spaces mainly as a generalization of statistical convergence of double sequences. We investigate a few fundamental properties and study the relationship between the two notions. We also introduce and investigate the concept of I2 and I∗2−Cauchy sequence of double sequences and show that the condition (AP2) plays a crucial role to study the interrelationship between them.
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