{"title":"直觉模糊赋范空间中二重序列加权均值的Tauberian定理","authors":"L. Mishra, Mohd Raiz, V. Mishra","doi":"10.2298/yjor210915005m","DOIUrl":null,"url":null,"abstract":"We define weighted mean summability method of double sequences in intuitionistic fuzzy normed spaces(IFNS), and obtain necessary and sufficient\n Tauberian conditions under which convergence of double sequences in IFNS\n follows from their weighted mean summability. This study reveals also\n Tauberian results for some known summation methods in the special cases.","PeriodicalId":52438,"journal":{"name":"Yugoslav Journal of Operations Research","volume":"299 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-03-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Tauberian theorems for weighted means of double sequences in intuitionistic fuzzy normed spaces\",\"authors\":\"L. Mishra, Mohd Raiz, V. Mishra\",\"doi\":\"10.2298/yjor210915005m\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We define weighted mean summability method of double sequences in intuitionistic fuzzy normed spaces(IFNS), and obtain necessary and sufficient\\n Tauberian conditions under which convergence of double sequences in IFNS\\n follows from their weighted mean summability. This study reveals also\\n Tauberian results for some known summation methods in the special cases.\",\"PeriodicalId\":52438,\"journal\":{\"name\":\"Yugoslav Journal of Operations Research\",\"volume\":\"299 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-03-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Yugoslav Journal of Operations Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2298/yjor210915005m\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Decision Sciences\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Yugoslav Journal of Operations Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2298/yjor210915005m","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Decision Sciences","Score":null,"Total":0}
Tauberian theorems for weighted means of double sequences in intuitionistic fuzzy normed spaces
We define weighted mean summability method of double sequences in intuitionistic fuzzy normed spaces(IFNS), and obtain necessary and sufficient
Tauberian conditions under which convergence of double sequences in IFNS
follows from their weighted mean summability. This study reveals also
Tauberian results for some known summation methods in the special cases.