{"title":"Special Ruled Surface in de-Sitter 3-Space","authors":"Tuğba Mert, M. Atc̣eken","doi":"10.33401/fujma.933725","DOIUrl":"https://doi.org/10.33401/fujma.933725","url":null,"abstract":"","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134107641","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Tubular surfaces around a null curve and its spherical images","authors":"Fatma Ateş","doi":"10.33401/fujma.951273","DOIUrl":"https://doi.org/10.33401/fujma.951273","url":null,"abstract":"","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"251 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133027498","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Numerical Algorithm for Solving General Linear Elliptic Quaternionic Matrix Equations","authors":"K. Eren, Hidayet Kösal","doi":"10.33401/fujma.888705","DOIUrl":"https://doi.org/10.33401/fujma.888705","url":null,"abstract":"","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127387183","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Some new traveling wave solutions of nonlinear fluid models via the MSE method","authors":"Gizel Bakıcıerler, E. Mısırlı","doi":"10.33401/fujma.933947","DOIUrl":"https://doi.org/10.33401/fujma.933947","url":null,"abstract":"","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"75 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127392493","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dynamic Behavior of Euler-Maclaurin Methods for Piecewise Differential Equations with Two Delays","authors":"He Yin, Qi Wang","doi":"10.33401/fujma.906230","DOIUrl":"https://doi.org/10.33401/fujma.906230","url":null,"abstract":"","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117021585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Some approximation results on $lambda-$ Sz'{a}sz-Mirakjan-Kantorovich operators","authors":"R. Aslan","doi":"10.33401/fujma.903140","DOIUrl":"https://doi.org/10.33401/fujma.903140","url":null,"abstract":"","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114807006","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A linear mixed model (LMM) M : y = Xβ +Zu+ ε with general assumptions and its transformed model T : Ty = TXβ +TZu+Tε are considered. This work concerns the comparison problem of predictors under M and T . Our aim is to establish equality relations between the best linear unbiased predictors (BLUPs) of unknown vectors under two LMMs M and T through their covariance matrices by using various rank formulas of block matrices and elementary matrix operations.
考虑了具有一般假设条件的线性混合模型M: y = Xβ +Zu+ ε及其变换后的模型T: Ty = TXβ +TZu+ ε。本文研究了M和T条件下预测因子的比较问题。我们的目的是利用分块矩阵的各种秩公式和初等矩阵运算,通过协方差矩阵建立两个lmm M和T下未知向量的最佳线性无偏预测量(blps)之间的相等关系。
{"title":"Rank Approach for Equality Relations of BLUPs in Linear Mixed Model and its Transformed Model","authors":"Melek Eriş Büyükkaya, Nesrin Güler, Melike Yigit","doi":"10.33401/FUJMA.889229","DOIUrl":"https://doi.org/10.33401/FUJMA.889229","url":null,"abstract":"A linear mixed model (LMM) M : y = Xβ +Zu+ ε with general assumptions and its transformed model T : Ty = TXβ +TZu+Tε are considered. This work concerns the comparison problem of predictors under M and T . Our aim is to establish equality relations between the best linear unbiased predictors (BLUPs) of unknown vectors under two LMMs M and T through their covariance matrices by using various rank formulas of block matrices and elementary matrix operations.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124988683","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Oscillatory Criteria of Nonlinear Higher Order $Psi$-Hilfer Fractional Differential Equations","authors":"T. Uzun","doi":"10.33401/fujma.888390","DOIUrl":"https://doi.org/10.33401/fujma.888390","url":null,"abstract":"","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114901290","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
We introduce and investigate the notion of weak projection invariant semisimple modules. We deal with the structural properties of this new class of modules. In this trend we have indecomposable decompositions of the special class of the former class of modules via some module theoretical properties. As a consequence, we obtain when the finite exchange property implies full exchange property for the latter class of modules.
{"title":"On weak projection invariant semisimple modules","authors":"R. Yaşar","doi":"10.33401/FUJMA.869714","DOIUrl":"https://doi.org/10.33401/FUJMA.869714","url":null,"abstract":"We introduce and investigate the notion of weak projection invariant semisimple modules. We deal with the structural properties of this new class of modules. In this trend we have indecomposable decompositions of the special class of the former class of modules via some module theoretical properties. As a consequence, we obtain when the finite exchange property implies full exchange property for the latter class of modules.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125906587","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper gives HOMFLY polynomials and Kauffman polynomials L and F of twist knots as recurrence relations, respectively, and also provides some recursive properties of them.
{"title":"Recurrence Relations for Knot Polynomials of Twist Knots","authors":"Kemal Taşköprü, Zekiye Sinan","doi":"10.33401/FUJMA.856647","DOIUrl":"https://doi.org/10.33401/FUJMA.856647","url":null,"abstract":"This paper gives HOMFLY polynomials and Kauffman polynomials L and F of twist knots as recurrence relations, respectively, and also provides some recursive properties of them.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"228 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122981511","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}