{"title":"双集序列的f-渐近I_2^σθ-等价性","authors":"E. Dündar, N. P. Akin","doi":"10.7212/zkufbd.v10i1.1482","DOIUrl":null,"url":null,"abstract":"Recently, Akin, Dundar and Ulusu defined and studied asymptotically lacunary I-invariant statistical equivalence for sequences of sets defined by a modulus function [N. P. Akin, E. Dundar and U.Ulusu, Asymptotically Lacunary I-Invariant Statistical Equivalence of Sequences of Set Defined By A Modulus Function, Sakarya Univ. J. Sci. 22(6) (2018)]. In this study, first, we present the concepts of strongly asymptotically I_2^σθ-equivalence, f-asymptotically I_2^σθ-equivalence, strongly f-asymptotically I_2^σθ-equivalence for double sequences of sets. Then, we investigate some properties and relationships among this new concepts. After, we present asymptotically I_2^σθ-statistical equivalence for double sequences of sets. Also we investigate relationships between asymptotically I_2^σθ-statistical equivalence and strongly f-asymptotically I_2^σθ-equivalence.","PeriodicalId":17742,"journal":{"name":"Karaelmas Science and Engineering Journal","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"f-Asymptotically I_2^σθ-Equivalence for Double Set Sequences\",\"authors\":\"E. Dündar, N. P. Akin\",\"doi\":\"10.7212/zkufbd.v10i1.1482\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Recently, Akin, Dundar and Ulusu defined and studied asymptotically lacunary I-invariant statistical equivalence for sequences of sets defined by a modulus function [N. P. Akin, E. Dundar and U.Ulusu, Asymptotically Lacunary I-Invariant Statistical Equivalence of Sequences of Set Defined By A Modulus Function, Sakarya Univ. J. Sci. 22(6) (2018)]. In this study, first, we present the concepts of strongly asymptotically I_2^σθ-equivalence, f-asymptotically I_2^σθ-equivalence, strongly f-asymptotically I_2^σθ-equivalence for double sequences of sets. Then, we investigate some properties and relationships among this new concepts. After, we present asymptotically I_2^σθ-statistical equivalence for double sequences of sets. Also we investigate relationships between asymptotically I_2^σθ-statistical equivalence and strongly f-asymptotically I_2^σθ-equivalence.\",\"PeriodicalId\":17742,\"journal\":{\"name\":\"Karaelmas Science and Engineering Journal\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-06-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Karaelmas Science and Engineering Journal\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7212/zkufbd.v10i1.1482\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Karaelmas Science and Engineering Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7212/zkufbd.v10i1.1482","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
最近，Akin, Dundar和Ulusu定义并研究了由模函数定义的集合序列的渐近无i不变统计等价。P. Akin, E. Dundar, U.Ulusu，模函数定义的集合序列的渐近无i不变统计等价，上海大学学报(自然科学版)，22(6)(2018)。本文首先给出了集的二重序列的强渐近I_2^σθ-等价、f-渐近I_2^σθ-等价、强f-渐近I_2^σθ-等价的概念。然后，我们研究了这些新概念之间的一些性质和关系。然后，我们给出了集的二重序列的渐近I_2^σθ-统计等价性。研究了渐近I_2^σθ-统计等价与强f-渐近I_2^σθ-等价之间的关系。
f-Asymptotically I_2^σθ-Equivalence for Double Set Sequences
Recently, Akin, Dundar and Ulusu defined and studied asymptotically lacunary I-invariant statistical equivalence for sequences of sets defined by a modulus function [N. P. Akin, E. Dundar and U.Ulusu, Asymptotically Lacunary I-Invariant Statistical Equivalence of Sequences of Set Defined By A Modulus Function, Sakarya Univ. J. Sci. 22(6) (2018)]. In this study, first, we present the concepts of strongly asymptotically I_2^σθ-equivalence, f-asymptotically I_2^σθ-equivalence, strongly f-asymptotically I_2^σθ-equivalence for double sequences of sets. Then, we investigate some properties and relationships among this new concepts. After, we present asymptotically I_2^σθ-statistical equivalence for double sequences of sets. Also we investigate relationships between asymptotically I_2^σθ-statistical equivalence and strongly f-asymptotically I_2^σθ-equivalence.
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