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Subcategories of the category of T-convergence spaces t收敛空间范畴的子范畴
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1205089
Yuan Gao, B. Pang
{"title":"Subcategories of the category of T-convergence spaces","authors":"Yuan Gao, B. Pang","doi":"10.15672/hujms.1205089","DOIUrl":"https://doi.org/10.15672/hujms.1205089","url":null,"abstract":"T-convergence structures serve as an important tool to describe fuzzy topology and deserve more and more attention. This paper aims to give further investigations onT-convergence structures. Firstly, several types of $top$-convergence structures are introduced, including Kent T-convergence structures, T-limit structures and principal T-convergence structures, and their mutual categorical relationships as well as their own categorical properties are studied. Secondly, by changing of the underlying lattice, the ``change of base\" approach is applied to T-convergence structures and the relationships between T-convergence structures with respect to different underlying lattices are demonstrated.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"60 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90436944","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
weakly $ (k,n) $-absorbing (primary) hyperideals of a Krasner $ (m,n) $-hyperring Krasner $ (m,n) $-超环的弱$ (k,n) $吸收(原)超环
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1199437
B. Davvaz, G. Ulucak, Ünsal Tekir
{"title":"weakly $ (k,n) $-absorbing (primary) hyperideals of a Krasner $ (m,n) $-hyperring","authors":"B. Davvaz, G. Ulucak, Ünsal Tekir","doi":"10.15672/hujms.1199437","DOIUrl":"https://doi.org/10.15672/hujms.1199437","url":null,"abstract":"In this paper, we introduce new expansion classes, namely weakly $ (k,n) $-absorbing hyperideals and weakly $ (k,n) $-absorbing primary hyperideals of a Krasner $ (m,n) $-hyperring, including $ (k,n) $-absorbing hyperideal and $ (k,n) $-absorbing primary hyperideal. Therefore, we give generalizations of $ (k,n) $-absorbing hyperideal and $ (k,n) $-absorbing primary hyperideal. Also, we examine the relations between classical hyperideals and the new hyperideals and explore some ways to connect them. Additionally, some main results and examples are given to explain the structures of these concepts. Finally, we study a version of Nakayama's lemma on a commutative Krasner $ (m,n) $-hyperring.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"28 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87744898","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A parabolic-elliptic chemo-repulsion system in 2D domains with nonlinear production 具有非线性产生的二维区域上的抛物-椭圆化学排斥系统
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1133453
Alex ANCOMA-HUARACHİ, E. Mallea-Zepeda
{"title":"A parabolic-elliptic chemo-repulsion system in 2D domains with nonlinear production","authors":"Alex ANCOMA-HUARACHİ, E. Mallea-Zepeda","doi":"10.15672/hujms.1133453","DOIUrl":"https://doi.org/10.15672/hujms.1133453","url":null,"abstract":"In this paper we analyze a parabolic-elliptic chemo-repulsion system, with superlinear production term in two-dimensional domains. Under the injection/extract chemical substance on a subdomain $omegasubsetOmega$, we prove the existence and uniqueness of global-in-time strong solutions at finite time.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"61 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88039805","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysis and modelling of competing risks survival data using modified Weibull additive hazards regression approach 使用改进的威布尔加性风险回归方法对竞争风险生存数据进行分析和建模
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1066111
H. Rehman, N. Chandra, A. Abuzaid
{"title":"Analysis and modelling of competing risks survival data using modified Weibull additive hazards regression approach","authors":"H. Rehman, N. Chandra, A. Abuzaid","doi":"10.15672/hujms.1066111","DOIUrl":"https://doi.org/10.15672/hujms.1066111","url":null,"abstract":"The cause-specific hazard function plays an important role in developing the regression models for competing risks survival data. Proportional hazards and additive hazards are the commonly used regression approaches in survival analysis. Mostly, in literature, the proportional hazards model was used for parametric regression modelling of survival data. In this article, we introduce a parametric additive hazards regression model for survival analysis with competing risks. For employing a parametric model we consider the modified Weibull distribution as a baseline model which is capable to model survival data with non-monotonic behaviour of hazard rate. The estimation process is carried out via maximum likelihood and Bayesian approaches. In addition to Bayesian methods, a class of non-informative types of prior is introduced with squared error (symmetric) and linear-exponential (asymmetric) loss functions. The relative performance of the different estimators is assessed using Monte Carlo simulation. Finally, using the proposed methodology, a real data analysis is performed.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"27 3 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80013511","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
SINGULAR PERTURBATIONS ARISING IN COMPLEX NEWTON'S METHOD 复牛顿法中产生的奇异摄动
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1132257
Fi̇gen Çi̇li̇ngi̇r
{"title":"SINGULAR PERTURBATIONS ARISING IN COMPLEX NEWTON'S METHOD","authors":"Fi̇gen Çi̇li̇ngi̇r","doi":"10.15672/hujms.1132257","DOIUrl":"https://doi.org/10.15672/hujms.1132257","url":null,"abstract":"We examine the resulting dynamics when Newton's method is applied to perturbations of polynomials that have a multiple root. Specifically, we consider the case where Newton's method is applied to the polynomial family $(z^2 + c)(z-1)$.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79918575","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Topological Fundamental Groupoids‎: ‎Brown$^{^,}$s Topology 拓扑基本群:布朗$^{^，}$s拓扑
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1205441
A. Pakdaman, Fereshteh Shahi̇ni̇
{"title":"Topological Fundamental Groupoids‎: ‎Brown$^{^,}$s Topology","authors":"A. Pakdaman, Fereshteh Shahi̇ni̇","doi":"10.15672/hujms.1205441","DOIUrl":"https://doi.org/10.15672/hujms.1205441","url":null,"abstract":"‎In this paper‎, ‎we generalize the Brown$^{^,}$s topology on the fundamental groupoids‎. ‎For a locally path connected space $X$ and a totally disconnected normal subgroupoid‎ ‎$M$‎ ‎of‎ ‎$pi X$‎, ‎we define a topology on the quotient groupoid‎ ‎$dfrac{pi X}{M}$‎ ‎which is a generalization of what introduced by Brown for locally path connected and semilocally simply connected spaces‎. ‎We prove that‎ ‎$dfrac{pi X}{M}$‎ ‎equipped with this topology is a topological groupoid‎. ‎Also‎, ‎we will find a class of subgroupoids of topological groupoids whose their related quotient groupoids will be topological groupoids‎. ‎By using this‎, ‎we show that our topology on‎ ‎$dfrac{pi X}{M}$ is equivalent to the quotient of the Lasso topology on the topological fundamental groupoids‎, ‎$dfrac{pi^L X}{M}$ cite{PS}‎.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"22 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75574831","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
James-Stein type estimators in beta regression model‎: simulation and application‎ β回归模型中的James-Stein型估计器:模拟与应用
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1122207
S. Seifollahi, Hossein BEVRANİ‎
{"title":"James-Stein type estimators in beta regression model‎: simulation and application‎","authors":"S. Seifollahi, Hossein BEVRANİ‎","doi":"10.15672/hujms.1122207","DOIUrl":"https://doi.org/10.15672/hujms.1122207","url":null,"abstract":"Recently‎, ‎the beta regression model has been used in several fields of science to model data in the form of rate or proportion‎. ‎In this paper‎, ‎we propose some novel and improved methods to estimate parameters in the beta regression model‎. ‎We consider a sub-space on the regression coefficients of the beta regression model and combine the unrestricted and restricted estimators then we present Stein-type and preliminary estimators‎. ‎We develop the expressions for the proposed estimators' asymptotic biases and their quadratic risks‎. ‎Numerical studies through Monte Carlo simulations are used to evaluate the performance of the proposed estimators in terms of their simulated relative efficiency‎. ‎The results show that the proposed estimators outperform the unrestricted estimator when the restrictions hold‎. ‎Finally‎, ‎an empirical application is provided to demonstrate the practical usefulness of the proposed ‎estimators.‎","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"6 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90199082","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
An inverse problem of identifying the time-dependent potential and source terms in a two-dimensional parabolic equation 二维抛物方程中确定随时间变化的势项和源项的反问题
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1118138
M. J. Huntul, İbrahim Teki̇n
{"title":"An inverse problem of identifying the time-dependent potential and source terms in a two-dimensional parabolic equation","authors":"M. J. Huntul, İbrahim Teki̇n","doi":"10.15672/hujms.1118138","DOIUrl":"https://doi.org/10.15672/hujms.1118138","url":null,"abstract":"In this article, simultaneous identification of the timewise lowest and source terms in a two-dimensional (2D) parabolic equation from knowledge of additional measurements is studied. Existence and uniqueness of the solution is proved by means of the contraction mapping on a small time interval. Since the problem is yet ill- posed (very small errors in the time-average temperature input may cause large errors in the output source and potential functions), we need to regularize the solution. Hence, regularization is needed for the retrieval of unknown terms. The 2D equation is computationally solved using the ADE scheme and reshaped as non-linear optimization of the Tikhonov regularization function. This is numerically studied by means of the MATLAB $lsqnonlin$ subroutine. Finally, we present a numerical example to demonstrate the accuracy and efficiency of the proposed method. Our numerical results show that the ADE is an efficient and unconditionally stable scheme for reconstructing the potential and source coefficients from minimal data which makes the solution of the inverse problem (IP) unique.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"5 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72644961","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A criterion for nonzero multipliers for Orlicz spaces of an affine group $R_{+}times R$ 仿射群$R_{+}乘以R$的Orlicz空间非零乘子的判据
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1175682
Rüya Üster
{"title":"A criterion for nonzero multipliers for Orlicz spaces of an affine group $R_{+}times R$","authors":"Rüya Üster","doi":"10.15672/hujms.1175682","DOIUrl":"https://doi.org/10.15672/hujms.1175682","url":null,"abstract":"Let $A=R_{+}times R$ be an affine group with right Haar measure $dmu$ and $Phi_i$, $i=1,2$, be Young functions. We show that there exists an isometric isomorphism between the multiplier of the pair $(L^{Phi_1}(A),L^{Phi_2}(A))$ and $(L^{Psi_2}(A),L^{Psi_1}(A))$ where $Psi_i$ are complementary pairs of $Phi_i$, $i=1,2$, respectively. Moreover we show that under some conditions there is no nonzero multiplier for the pair $(L^{Phi_1}(A),L^{Phi_2}(A))$, i.e., for an affine group $A$ only the spaces $M(L^{Phi_1}(A),L^{Phi_2}(A))$, with a concrete condition, are of any interest.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"11 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88692774","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on CSP rings 关于CSP环的说明
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1213444
Haitao Ma, L. Shen
{"title":"A note on CSP rings","authors":"Haitao Ma, L. Shen","doi":"10.15672/hujms.1213444","DOIUrl":"https://doi.org/10.15672/hujms.1213444","url":null,"abstract":"Let $R$ be an associative ring. $R$ is called right CSP if the sum of any two closed right ideals of $R$ is also a closed right ideal of $R$. Left CSP rings can be defined similarly. It is shown that a matrix ring over a right CSP ring may not be right CSP. And $mathbb{M}_{2}(R)$ is right CSP if and only if $R$ is right self-injective and von Neumann regular. This informs that a left CSP ring may not be right CSP. At last, an equivalent characterization is given for the trivial extension $Rpropto R$ of $R$ to be right CSP.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"516 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77108560","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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