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Hacettepe Journal of Mathematics and Statistics最新文献

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An approach for unbalanced fully rough interval transportation problem 不平衡完全粗区间运输问题的一种方法
4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-10-31 DOI: 10.15672/hujms.980108
S. SHİVANİ, Deepika RANİ, Ali EBRAHİMNRJAD
{"title":"An approach for unbalanced fully rough interval transportation problem","authors":"S. SHİVANİ, Deepika RANİ, Ali EBRAHİMNRJAD","doi":"10.15672/hujms.980108","DOIUrl":"https://doi.org/10.15672/hujms.980108","url":null,"abstract":"In this study, we consider an unbalanced fully rough interval transportation problem, where all the parameters and decision variables are represented by rough interval numbers. A method named as split and separation method has been proposed in the literature to find the optimal solution of balanced fully rough interval transportation problem. As per our knowledge, no method exists in the literature to solve an unbalanced fully rough interval transportation problem. Therefore, a new method is proposed in this study to solve such problem. Using proposed methodology, firstly the unbalanced problem is converted into a balanced one and then the optimal solution of the balanced problem is obtained. To show the applicability of the proposed methodology, a numerical example is solved. Finally, the study’s conclusions and future research directions are discussed.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"87 8","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135765535","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
Certain topological properties for almost convergent Catalan-Motzkin sequence space 几乎收敛的Catalan-Motzkin序列空间的若干拓扑性质
4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-08-17 DOI: 10.15672/hujms.1298097
Muhammet Cihat DAĞLI
{"title":"Certain topological properties for almost convergent Catalan-Motzkin sequence space","authors":"Muhammet Cihat DAĞLI","doi":"10.15672/hujms.1298097","DOIUrl":"https://doi.org/10.15672/hujms.1298097","url":null,"abstract":"The purpose of this paper is to introduce a new almost convergent sequence space by means of a matrix involving Catalan and Motzkin numbers. It is demonstrated that this novel sequence space and the space of all almost convergent sequences are linearly isomorphic and the beta- dual of this new space is deduced. In addition, by defining Catalan-Motzkin core of a complex-valued sequence, certain inclusion relations are derived for it.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136337019","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
Evaluation formulas for Tornheim and Euler type double series Tornheim和Euler型二重级数的计算公式
4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-08-17 DOI: 10.15672/hujms.1165578
Emre ÇAY, Mümün CAN, Levent KARGIN
{"title":"Evaluation formulas for Tornheim and Euler type double series","authors":"Emre ÇAY, Mümün CAN, Levent KARGIN","doi":"10.15672/hujms.1165578","DOIUrl":"https://doi.org/10.15672/hujms.1165578","url":null,"abstract":"We give closed-form evaluation formulas for the real and imaginary parts of the series $sum_{m,n=1}^{infty}frac{e^{2pi ileft( mx-nyright) }} {m^{p}n^{r}left( mc+nright) ^{q}},$ $cinmathbb{N},$ in terms of certain zeta values.textbf{ }Particular choices of $x$ and $y$ lead evaluation formulas for some Tornheim type $sum_{m,n=1}^{infty}frac{1}{m^{p}% n^{r}left( mc+nright) ^{q}}$ and Euler type $sum_{m,n=1}^{infty}frac {1}{n^{p}left( mc+nright) ^{q}}$ double series and their alternating analogues.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136337022","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
Non-informative Bayesian estimation in dispersion models 离散模型中的非信息贝叶斯估计
4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-08-11 DOI: 10.15672/hujms.1053432
Ibrahim SADOK, Mourad ZRİBİ, Afif MASMOUDİ
{"title":"Non-informative Bayesian estimation in dispersion models","authors":"Ibrahim SADOK, Mourad ZRİBİ, Afif MASMOUDİ","doi":"10.15672/hujms.1053432","DOIUrl":"https://doi.org/10.15672/hujms.1053432","url":null,"abstract":"The estimation of parameters for a distribution function is a significant and prominent field within statistical inference. This particular problem holds great relevance in various domains, including industries, stock markets, image processing, and reliability studies. There are two recognized approaches to estimation: point estimation and interval estimation, also known as confidence intervals. In this study, our primary focus lies in the point estimation of parameters associated with an exponential dispersion distribution function. In this process, we consider one of the parameters as a random variable that requires estimation. To tackle this, we adopt a Bayesian inference approach utilizing a one-parameter dispersion distribution. We explore non-informative priors, such as uniform and Jeffrey’s priors, and provide evidence of the effectiveness of our method through simulation studies.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"221 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135492925","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
Curious harmony in asymmetric & nonlinear variant of Filbert and Lilbert matrices 不对称中的奇妙和谐Filbert和Lilbert矩阵的非线性变体
4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-07-30 DOI: 10.15672/hujms.1264983
Didem ERSANLI, Emrah KILIÇ
{"title":"Curious harmony in asymmetric & nonlinear variant of Filbert and Lilbert matrices","authors":"Didem ERSANLI, Emrah KILIÇ","doi":"10.15672/hujms.1264983","DOIUrl":"https://doi.org/10.15672/hujms.1264983","url":null,"abstract":"In this paper, we present a new analogue of the Filbert and Lilbert matrices whose the indices have different asymmetric and nonlinear rules according to their row numbers. Explicit formulæ are derived for the LU-decompositions, their inverses and the inverse of main matrix as well as its determinant. To prove the claimed results we use backward induction method. The asymmetric variants of the Filbert and Lilbert matrices are obtained from our results for a particular q value.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135398159","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
Fusible Modules 易熔模块
4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-07-29 DOI: 10.15672/hujms.1206395
Işıl BAYDAR, Burcu ÜNGÖR, Sait HALİCİOGLU, Abdullah HARMANCI
{"title":"Fusible Modules","authors":"Işıl BAYDAR, Burcu ÜNGÖR, Sait HALİCİOGLU, Abdullah HARMANCI","doi":"10.15672/hujms.1206395","DOIUrl":"https://doi.org/10.15672/hujms.1206395","url":null,"abstract":"In this paper we extend the concept of fusibility to the module theoretic setting by introducing fusible modules. Let $R$ be a ring with identity, $M$ a right $R$-module and $0neq min M$. Then $m$ is called {it fusible} if it can be expressed as the sum of a torsion element and a torsion-free element in $M$. The module $M$ is said to be {it fusible} if every non-zero element of $M$ is fusible. We investigate some properties of fusible modules. It is proved that the class fusible modules is situated between the classes of torsion-free modules and nonsingular modules.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134919324","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
ON SUM ANNIHILATOR IDEALS IN ORE EXTENSIONS 关于和湮灭子理想的拓延
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-07-29 DOI: 10.15672/hujms.1037521
M. Paykani̇an, E. Hashemi, A. Alhevaz
{"title":"ON SUM ANNIHILATOR IDEALS IN ORE EXTENSIONS","authors":"M. Paykani̇an, E. Hashemi, A. Alhevaz","doi":"10.15672/hujms.1037521","DOIUrl":"https://doi.org/10.15672/hujms.1037521","url":null,"abstract":"A ring $R$ is called a left Ikeda-Nakayama ring (left IN-ring) if the right annihilator of\u0000 the intersection of any two left ideals is the sum of the two right annihilators.\u0000 As a generalization of left IN-rings, a ring $R$ is called a right SA-ring if the sum of\u0000 right annihilators of two ideals is a right annihilator of an ideal of $R$.\u0000 It is natural to ask if IN and SA property can be extended from $R$ to\u0000 $R[x; alpha, delta]$.\u0000 In this note, the results concerning the conditions will allow these properties\u0000to transfer from $R$ to skew polynomials $R[x;alpha,delta]$ are obtained.\u0000 In addition, for an $(alpha,delta)$-compatible ring $R$, it is shown that:\u0000 (i) If $S = R[x;alpha,delta]$ is a left IN-ring with ${rm{Idm}}(R) ={rm{Idm}}(R[x;alpha, delta])$, then $R$ is left McCoy.\u0000 (ii) Every reduced left IN-ring with finitely many minimal\u0000prime ideals is a semiprime left Goldie ring.\u0000 (iii) Every commutative principal ideal ring (PIR) $R$, is an IN-ring and so is $R[x]$.\u0000 (iv) If $R$ be a reduced ring and $n$ a positive integer, then $R$ is right\u0000SA if and only if $R[x]/(x^{n+1})$ is right SA.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"42 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88081591","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 COMPARATIVE STUDY FOR THE SPECTRAL PROPERTIES OF TOEPLITZ AND HANKEL OPERATORS toeplitz和hankel算子频谱特性的比较研究
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-07-28 DOI: 10.15672/hujms.1241656
Ayşe Güven Sarıhan
{"title":"A COMPARATIVE STUDY FOR THE SPECTRAL PROPERTIES OF TOEPLITZ AND HANKEL OPERATORS","authors":"Ayşe Güven Sarıhan","doi":"10.15672/hujms.1241656","DOIUrl":"https://doi.org/10.15672/hujms.1241656","url":null,"abstract":"In this introductory review, we study Hankel and Toeplitz opera-\u0000tors considering them as acting on certain spaces of analytic functions, namely\u0000Hardy spaces and compare their spectral properties such as their compactness\u0000criteria. In contrast to Toeplitz operators, the symbol of a Hankel operator is\u0000not uniquely determined by the operator. We also connect Toeplitz operators\u0000with Fredholm operators and give some of the most beautiful properties of\u0000Toeplitz operators such as the essential spectrum of Toeplitz operator with\u0000continuous symbol and the index of Toeplitz operator introducing Fredholm\u0000operators firstly.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"91 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85540073","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
Adaptive Nadaraya-Watson kernel regression estimators utilizing some non-traditional and robust measures: a numerical application of British food data 利用一些非传统和稳健措施的自适应Nadaraya-Watson核回归估计器:英国食品数据的数值应用
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-07-22 DOI: 10.15672/hujms.1167617
U. Shahzad, I. Ahmad, I. Almanjahie, Nadia H. AL – NOOR, M. Hanif
{"title":"Adaptive Nadaraya-Watson kernel regression estimators utilizing some non-traditional and robust measures: a numerical application of British food data","authors":"U. Shahzad, I. Ahmad, I. Almanjahie, Nadia H. AL – NOOR, M. Hanif","doi":"10.15672/hujms.1167617","DOIUrl":"https://doi.org/10.15672/hujms.1167617","url":null,"abstract":"In nonparametric regression research, estimation of regression function is a prime concern. Recently, researchers developed some modified Nadaraya-Watson (N-W) regression estimators utilizing robust mean, median and harmonic mean. In this paper, we propose to utilize the additive combination of non-traditional measures i.e. (Hodges-Lehmann, Mid-Range, Tri-Mean, Quartile-Deviation) with the robust minimum covariance determinant (MCD) scale estimator in (N-W) regression estimator. Utilizing these measures, we get some new versions of (N-W) regression estimator. We also attempted to derive the properties of the proposed versions, such as bias, variance, mean square error (MSE), and mean integrated square error (MISE). The proposed estimators are compared with some of the existing estimators available in literature through a simulation study, utilizing two artificial populations. We also incorporated real-life application by taking British food data set denoted as Engel95, and assess the predictive ability of nonparametric regression, based on proposed and existing N-W estimators.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"25 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-07-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75126015","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
On Hardy and Hermite-Hadamard inequalities for N-tuple diamond-alpha integral 论 N 元组菱形-α积分的哈代和赫米特-哈达马德不等式
IF 0.8 4区 数学
Hacettepe Journal of Mathematics and Statistics Pub Date : 2023-07-20 DOI: 10.15672/hujms.1191725
Zhongjian Mao, Wen-bin Zhang, Jing-feng Ti̇an
{"title":"On Hardy and Hermite-Hadamard inequalities for N-tuple diamond-alpha integral","authors":"Zhongjian Mao, Wen-bin Zhang, Jing-feng Ti̇an","doi":"10.15672/hujms.1191725","DOIUrl":"https://doi.org/10.15672/hujms.1191725","url":null,"abstract":"In this paper, we aim to construct $n$ dimensional Jensen, Hardy and Hermite-Hadamard type inequalities for multiple diamond-alpha integral on time scales. The cases of Hardy type inequality with a weighted function and Hermite-Hadamard type inequality of three variables are also considered minutely.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"14 9 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2023-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139357068","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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