{"title":"关于$S_{\\alpha}^{\\beta}（\\theta，A，F）-$收敛和强$N_{\\alpha}^{\\teta}（\\ttheta，A，F）-$收敛","authors":"Hacer Şengül Kandemir, M. Et, H. Cakalli","doi":"10.5269/bspm.51415","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce strong $N_{\\alpha }^{\\beta }(\\theta ,A,F)-$convergence and $S_{\\alpha }^{\\beta }(\\theta ,A,F)-$% convergence with respect to a sequence of modulus functions and give some connections between strongly $N_{\\alpha }^{\\beta }(\\theta ,A,F)-$convergent sequences and $S_{\\alpha }^{\\beta }(\\theta ,A,F)-$convergent sequences for $% 0<\\alpha \\leq \\beta \\leq 1$.","PeriodicalId":44941,"journal":{"name":"Boletim Sociedade Paranaense de Matematica","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2022-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On $S_{\\\\alpha }^{\\\\beta }(\\\\theta ,A,F)-$convergence and strong $N_{\\\\alpha }^{\\\\beta }(\\\\theta ,A,F)-$convergence\",\"authors\":\"Hacer Şengül Kandemir, M. Et, H. Cakalli\",\"doi\":\"10.5269/bspm.51415\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce strong $N_{\\\\alpha }^{\\\\beta }(\\\\theta ,A,F)-$convergence and $S_{\\\\alpha }^{\\\\beta }(\\\\theta ,A,F)-$% convergence with respect to a sequence of modulus functions and give some connections between strongly $N_{\\\\alpha }^{\\\\beta }(\\\\theta ,A,F)-$convergent sequences and $S_{\\\\alpha }^{\\\\beta }(\\\\theta ,A,F)-$convergent sequences for $% 0<\\\\alpha \\\\leq \\\\beta \\\\leq 1$.\",\"PeriodicalId\":44941,\"journal\":{\"name\":\"Boletim Sociedade Paranaense de Matematica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-12-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Boletim Sociedade Paranaense de Matematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5269/bspm.51415\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Boletim Sociedade Paranaense de Matematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5269/bspm.51415","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
On $S_{\alpha }^{\beta }(\theta ,A,F)-$convergence and strong $N_{\alpha }^{\beta }(\theta ,A,F)-$convergence
In this paper, we introduce strong $N_{\alpha }^{\beta }(\theta ,A,F)-$convergence and $S_{\alpha }^{\beta }(\theta ,A,F)-$% convergence with respect to a sequence of modulus functions and give some connections between strongly $N_{\alpha }^{\beta }(\theta ,A,F)-$convergent sequences and $S_{\alpha }^{\beta }(\theta ,A,F)-$convergent sequences for $% 0<\alpha \leq \beta \leq 1$.
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