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Hacettepe Journal of Mathematics and Statistics最新文献

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Semi-slant submanifolds in a locally conformal Kaehler Space form 局部共形Kaehler空间形式中的半倾斜子流形
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1032768
V. Bonanzinga, Koji Matsumoto
{"title":"Semi-slant submanifolds in a locally conformal Kaehler Space form","authors":"V. Bonanzinga, Koji Matsumoto","doi":"10.15672/hujms.1032768","DOIUrl":"https://doi.org/10.15672/hujms.1032768","url":null,"abstract":"In this paper, we consider semi-slant submanifolds in a locally conformal Kaehler manifold and a locally conformal Kaehler space form. We give inequalities for the length of the second fundamental form and the mean curvature and, using Gauss and Codazzi equations, we get many useful results in locally conformal Kaehler space form.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"36 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73245867","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
Concircular helices and concircular surfaces in Euclidean 3-space R^3 欧几里得三维空间R^3中的圆锥螺旋和圆锥曲面
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1187220
P. Lucas, José Antonio ORTEGA YAGÜES
{"title":"Concircular helices and concircular surfaces in Euclidean 3-space R^3","authors":"P. Lucas, José Antonio ORTEGA YAGÜES","doi":"10.15672/hujms.1187220","DOIUrl":"https://doi.org/10.15672/hujms.1187220","url":null,"abstract":"Given a submanifold $Msubset R^{n}$ and a concircular vector field $Yin Con(R^{n})$, $M$ is said to be a concircular submanifold (with axis $Y$) if $langle N,Yrangle$ is a constant function along $M$, $N$ being any unit vector field in the first normal space. In this paper we characterize concircular helices in $R^3$ by means of a differential equation involving their curvature and torsion. We find a full description of concircular surfaces in $R^3$ as a special family of ruled surfaces, and we show that $Msubset R^{3}$ is a proper concircular surface if and only if either $M$ is parallel to a conical surface or $M$ is the normal surface to a spherical curve. Finally, we characterize the concircular helices as geodesics of concircular surfaces.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"19 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74837318","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 family of Newton-type methods with seventh and eighth-order of convergence for solving systems of nonlinear equations 求解非线性方程组的一组七阶和八阶收敛的牛顿型方法
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1061471
T. Zhanlav, Renchin-Ochir Mijiddorj, Otgondorj Khuder
{"title":"A family of Newton-type methods with seventh and eighth-order of convergence for solving systems of nonlinear equations","authors":"T. Zhanlav, Renchin-Ochir Mijiddorj, Otgondorj Khuder","doi":"10.15672/hujms.1061471","DOIUrl":"https://doi.org/10.15672/hujms.1061471","url":null,"abstract":"In this work, we first develop a new family of three-step seventh and eighth-order Newton-type iterative methods for solving systems of nonlinear equations. We also propose some different choices of parameter matrices that ensure the convergence order. The proposed family includes some known methods of special cases. The computational cost and efficiency index of our methods are discussed. Numerical experiments give to support the theoretical results.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"24 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80745747","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
Piecewise polynomial numerical method for Volterra integral equations of the fourth-kind with constant delay 第四类常时滞Volterra积分方程的分段多项式数值解法
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1055681
P. Darania, S. Pishbin
{"title":"Piecewise polynomial numerical method for Volterra integral equations of the fourth-kind with constant delay","authors":"P. Darania, S. Pishbin","doi":"10.15672/hujms.1055681","DOIUrl":"https://doi.org/10.15672/hujms.1055681","url":null,"abstract":"This work studies the fourth-kind integral equation as a mixed system of first and second-kind Volterra integral equations(VIEs) with constant delay. Regularity, smoothing properties and uniqueness of the solution of this mixed system are obtaied by using theorems which give the relevant conditions related to first and second-kind VIEs with delays. This work studies the fourth-kind integral equation as a mixed system of first and second-kind Volterra integral equations(VIEs) with constant delay. Regularity, smoothing properties and uniqueness of the solution of this mixed system are obtaied by using theorems which give the relevant conditions related to first and second-kind VIEs with delays. A numerical collocation algorithm on the basis of the piecewise polynomial is designed and global convergence of the proposed numerical method is established. Some typical numerical experiments are also performed which confirm our theoretical result. A numerical collocation algorithm on the basis of the piecewise polynomial is designed and global convergence of the proposed numerical method is established. Some typical numerical experiments are also performed which confirm our theoretical result.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"41 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83630418","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
Two Approaches to extend Classical MANOVA Tests to the Unequal Covariances Case 将经典方差分析推广到不等协方差情况的两种方法
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1176840
Sam Weerahandi, M. Ananda, O. Dag
{"title":"Two Approaches to extend Classical MANOVA Tests to the Unequal Covariances Case","authors":"Sam Weerahandi, M. Ananda, O. Dag","doi":"10.15672/hujms.1176840","DOIUrl":"https://doi.org/10.15672/hujms.1176840","url":null,"abstract":"This article presents two approaches to extend classical MANOVA tests to the unequal covariances case. The first approach is illustrated by extending the classical Wilks test, which is valid only when covariances are equal. Such tests will be based on exact probabilities of certain extreme regions. We will also show how tests numerically equivalent to the parametric bootstrap tests could be easily obtained without using any bootstrap sampling arguments, so that resulting p-values are also based on exact probabilities of well defined extreme regions. Being systematic approaches, by taking similar approaches, re- searchers should be able to derive generalized tests in MANCOVA, higher-way MANOVA, and in RM MANOVA under heteroscedasticity, in which the parametric bootstrap type approaches run into difficulties.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"68 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83874155","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
Sharp inequalities for Toader mean in terms of other bivariate means Toader均值的尖锐不等式用其他双变量均值表示
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1106426
Weidong Jiang
{"title":"Sharp inequalities for Toader mean in terms of other bivariate means","authors":"Weidong Jiang","doi":"10.15672/hujms.1106426","DOIUrl":"https://doi.org/10.15672/hujms.1106426","url":null,"abstract":"In the paper, the author discover the best constants $alpha_1$, $alpha_2$, $alpha_3$, $beta_1$, $beta_2$ and $beta_3$ for the double inequalities begin{equation*} alpha_1 Aleft(frac{a-b}{a+b}right)^{2n+2}","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"14 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82897594","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
The Moore and Bilikam model and Burr XII sub-model under progressively type-II censoring scheme 渐进式ii型筛选方案下的Moore和Bilikam模型和Burr XII子模型
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1082101
Mehdi Bazyar, E. Deiri, E. Baloui Jamkhaneh
{"title":"The Moore and Bilikam model and Burr XII sub-model under progressively type-II censoring scheme","authors":"Mehdi Bazyar, E. Deiri, E. Baloui Jamkhaneh","doi":"10.15672/hujms.1082101","DOIUrl":"https://doi.org/10.15672/hujms.1082101","url":null,"abstract":"The Moore and Bilikam family includes lifetime distributions, hence there is a need for a meticulous investigation of the proposed family. We evaluate different estimation procedures for both parameters and reliability function of the Moore and Bilikam family comprehensively, including the maximum likelihood, Bayesian and E-Bayesian estimation methods. The estimation methods of the Moore and Bilikam family are compared via the simulation data, whereas simulation results of the Burr XII sub-model are reported. Based on the simulation approach, we concluded the estimates of the Moore and Bilikam family are convergent to the corresponding parameters, and the root mean square error values derived by the E-Bayesian method are less than other estimators. The analysis of the time between failures of secondary reactor pumps data set has been represented for illustrative purposes, which confirmed simulation results.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"14 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89509998","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
Conditional density estimation using population Monte Carlo based approximate Bayesian computation 基于近似贝叶斯计算的人口蒙特卡罗条件密度估计
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1055050
Faiza Afzaal, Dr. Maryam Ilyas
{"title":"Conditional density estimation using population Monte Carlo based approximate Bayesian computation","authors":"Faiza Afzaal, Dr. Maryam Ilyas","doi":"10.15672/hujms.1055050","DOIUrl":"https://doi.org/10.15672/hujms.1055050","url":null,"abstract":"Most statistical methods require likelihood evaluation to draw a statistical inference. However, in some situations, likelihood evaluation becomes difficult analytically or computationally. Different likelihood-free methods are available that eliminate the need to compute the likelihood function. Approximate Bayesian Computation (ABC) is a framework that implements likelihood-free inference and replaces the likelihood evaluation with simulations by using forward modeling. The goal of ABC methods is to approximate the posterior distribution. However, posterior approximation via ABC methods is still considerably expensive for high dimensions. ABC requires many simulations that become computationally infeasible for complex models. Here, a technique is proposed that combines a somewhat more efficient form of ABC (Population Monte Carlo, PMC) with a Conditional Density Estimation (CDE) approach. The proposed framework provides an estimation of the posterior distribution which is referred to as PMC-CDE. A simulation study is performed that provides empirical evidence to show the efficiency of PMC-CDE in terms of integrated squared error loss. Furthermore, real-life datasets manifest the application of the proposed method.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"57 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72636620","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
Superlinear Elliptic Hemivariational Inequalities 超线性椭圆半分不等式
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1173649
Yunru Bai, L. Gasiński, Nikolaos S. Papageorgiou
{"title":"Superlinear Elliptic Hemivariational Inequalities","authors":"Yunru Bai, L. Gasiński, Nikolaos S. Papageorgiou","doi":"10.15672/hujms.1173649","DOIUrl":"https://doi.org/10.15672/hujms.1173649","url":null,"abstract":"We study a nonlinear nonhomogeneous Dirichlet problem with a nonsmooth potential which is superlinear but without satisfying the Ambrosetti-Rabinowitz condition. Using the nonsmooth critical point theory and critical groups we prove two multiplicity theorems producing three and five solutions respectively. In the second multiplicity theorem, we provide sign information for all the solutions and the solutions are ordered.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"50 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85093719","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
Characterizations of L-concavities and L-convexities via derived relations l -凹和l -凸的派生关系表征
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-01-01 DOI: 10.15672/hujms.1175332
Xiu-yun Wu, E. Li
{"title":"Characterizations of L-concavities and L-convexities via derived relations","authors":"Xiu-yun Wu, E. Li","doi":"10.15672/hujms.1175332","DOIUrl":"https://doi.org/10.15672/hujms.1175332","url":null,"abstract":"This paper is to characterize L-concavities and L-convexities via some derived forms of relations and operators. Specifically, notions of L-concave derived internal relation space and L-concave derived hull space are introduced. It is proved that the category of L-concave derived internal relation spaces and the category of L-concave derived hull spaces are isomorphic to the category of L-concave spaces. Also, notions of L-convex derived enclosed relation space and L-convex derived hull space are introduced. It is proved that the category of L-convex derived enclosed relation spaces and the category of L-convex derived hull spaces are isomorphic to the category of L-convex spaces.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"36 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78952714","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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