{"title":"关于重序列FRACTİONAL DİFFERENCE的f−STATİSTİCAL收敛性","authors":"Koray İbrahim Atabey, Muhammed Çinar","doi":"10.22190/fumi211029044a","DOIUrl":null,"url":null,"abstract":"In this paper, using the fractional difference operator and a modulus function we introduce the concepts of $({}^{}_{2}{\\Delta_{\\beta}^{\\tilde{\\alpha}}},f)-$ statistical convergence, $({}^{}_{2}{\\Delta^{\\tilde{\\alpha}}},f)-$ statistical Cauchy and p-strongly $({}^{}_{2}{\\Delta^{\\tilde{\\alpha}}},f)-$ Cesàro summability, $(0<p<\\infty)$ for double sequences. We also give some inclusion relations between $({}^{}_{2}{\\Delta^{\\tilde{\\alpha}}},f)-$ statistical convergence and p-strongly $({}^{}_{2}{\\Delta^{\\tilde{\\alpha}}},f)-$ Cesàro summability $(0<p<\\infty)$.","PeriodicalId":54148,"journal":{"name":"Facta Universitatis-Series Mathematics and Informatics","volume":"30 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ON f− STATİSTİCAL CONVERGENCE OF FRACTİONAL DİFFERENCE ON DOUBLE SEQUENCES\",\"authors\":\"Koray İbrahim Atabey, Muhammed Çinar\",\"doi\":\"10.22190/fumi211029044a\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, using the fractional difference operator and a modulus function we introduce the concepts of $({}^{}_{2}{\\\\Delta_{\\\\beta}^{\\\\tilde{\\\\alpha}}},f)-$ statistical convergence, $({}^{}_{2}{\\\\Delta^{\\\\tilde{\\\\alpha}}},f)-$ statistical Cauchy and p-strongly $({}^{}_{2}{\\\\Delta^{\\\\tilde{\\\\alpha}}},f)-$ Cesàro summability, $(0<p<\\\\infty)$ for double sequences. We also give some inclusion relations between $({}^{}_{2}{\\\\Delta^{\\\\tilde{\\\\alpha}}},f)-$ statistical convergence and p-strongly $({}^{}_{2}{\\\\Delta^{\\\\tilde{\\\\alpha}}},f)-$ Cesàro summability $(0<p<\\\\infty)$.\",\"PeriodicalId\":54148,\"journal\":{\"name\":\"Facta Universitatis-Series Mathematics and Informatics\",\"volume\":\"30 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2022-09-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Facta Universitatis-Series Mathematics and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22190/fumi211029044a\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Facta Universitatis-Series Mathematics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22190/fumi211029044a","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
ON f− STATİSTİCAL CONVERGENCE OF FRACTİONAL DİFFERENCE ON DOUBLE SEQUENCES
In this paper, using the fractional difference operator and a modulus function we introduce the concepts of $({}^{}_{2}{\Delta_{\beta}^{\tilde{\alpha}}},f)-$ statistical convergence, $({}^{}_{2}{\Delta^{\tilde{\alpha}}},f)-$ statistical Cauchy and p-strongly $({}^{}_{2}{\Delta^{\tilde{\alpha}}},f)-$ Cesàro summability, $(0
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