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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 Q2 MATHEMATICS Pub Date : 2023-10-31 DOI: 10.15672/hujms.980108
S. SHİVANİ, Deepika RANİ, Ali EBRAHİMNRJAD
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.
本文考虑一个不平衡的完全粗区间运输问题,其中所有参数和决策变量都用粗区间数表示。文献中提出了一种求解平衡型全粗糙区间运输问题的最优解的方法——分割分离法。据我们所知,文献中还没有解决不平衡的完全粗糙区间运输问题的方法。因此,本研究提出一种新的方法来解决这一问题。该方法首先将不平衡问题转化为平衡问题,然后求出平衡问题的最优解。为了说明所提方法的适用性,最后对一个数值算例进行了求解。最后,对研究结论和未来的研究方向进行了展望。
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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 Q2 MATHEMATICS Pub Date : 2023-08-17 DOI: 10.15672/hujms.1298097
Muhammet Cihat DAĞLI
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.
本文的目的是利用包含Catalan数和Motzkin数的矩阵,引入一种新的几乎收敛的序列空间。证明了该新序列空间与所有几乎收敛序列空间线性同构,并推导了该新空间的-对偶。此外,通过定义复值序列的Catalan-Motzkin核,推导出复值序列的包含关系。
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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 Q2 MATHEMATICS Pub Date : 2023-08-17 DOI: 10.15672/hujms.1165578
Emre ÇAY, Mümün CAN, Levent KARGIN
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.
我们给出了级数$ $ sum_{m,n=1}^{ inty}frac{e^{2pi i左(mx-ny右)}}{m^{p}n^{r}左(mc+n右)^{q},$ $cinmathbb{n},$ $的实部和虚部的封闭计算公式。textbf{}$ x$和$y$的特殊选择导致了一些Tornheim类型$sum_{m,n=1}^{infty}frac{1}{m^{p}% n^{r}左(mc+n右)^{q}}$和Euler类型$sum_{m,n=1}^{infty}frac{1}{n^{p}左(mc+n右)^{q}}$双级数及其交替类似物的计算公式。
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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 Q2 MATHEMATICS Pub Date : 2023-08-11 DOI: 10.15672/hujms.1053432
Ibrahim SADOK, Mourad ZRİBİ, Afif MASMOUDİ
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.
分布函数的参数估计是统计推断中一个重要而突出的领域。这个特殊的问题在各个领域都有很大的相关性,包括工业、股票市场、图像处理和可靠性研究。有两种公认的估计方法:点估计和区间估计,也称为置信区间。在本研究中,我们的主要重点在于与指数色散分布函数相关的参数的点估计。在此过程中,我们将其中一个参数视为需要估计的随机变量。为了解决这个问题,我们采用贝叶斯推理方法,利用单参数分散分布。我们探索了非信息性先验,如uniform和Jeffrey先验,并通过模拟研究提供了我们方法有效性的证据。
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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 Q2 MATHEMATICS Pub Date : 2023-07-30 DOI: 10.15672/hujms.1264983
Didem ERSANLI, Emrah KILIÇ
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.
本文给出了Filbert和Lilbert矩阵的一种新的类似矩阵,它们的指标根据行数的不同具有不同的非对称和非线性规则。导出了主矩阵的lu分解及其逆、主矩阵的逆及其行列式的显式公式。为了证明所宣称的结果,我们使用了逆向归纳法。从我们的结果中得到了特定q值下Filbert和Lilbert矩阵的非对称变体。
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引用次数: 0
Fusible Modules 易熔模块
4区 数学 Q2 MATHEMATICS Pub Date : 2023-07-29 DOI: 10.15672/hujms.1206395
Işıl BAYDAR, Burcu ÜNGÖR, Sait HALİCİOGLU, Abdullah HARMANCI
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.
本文通过引入易熔模块,将易熔性的概念扩展到模块理论的设定中。设$R$是一个带单位元的环,$M$是一个右$R$-模,$0neq M 在M$中。如果$m$可以表示为$m$中的一个扭转单元和一个无扭转单元的和,则$m$称为{it fusible}。如果模块$M$的每个非零元素都是可熔的,则称模块$M$是可熔的。研究了易熔模块的一些性质。证明了可熔模类介于无扭模类和非奇异模类之间。
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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 Q2 MATHEMATICS Pub Date : 2023-07-29 DOI: 10.15672/hujms.1037521
M. Paykani̇an, E. Hashemi, A. Alhevaz
A ring $R$ is called a left Ikeda-Nakayama ring (left IN-ring) if the right annihilator of the intersection of any two left ideals is the sum of the two right annihilators. As a generalization of left IN-rings, a ring $R$ is called a right SA-ring if the sum of right annihilators of two ideals is a right annihilator of an ideal of $R$. It is natural to ask if IN and SA property can be extended from $R$ to $R[x; alpha, delta]$. In this note, the results concerning the conditions will allow these propertiesto transfer from $R$ to skew polynomials $R[x;alpha,delta]$ are obtained. In addition, for an $(alpha,delta)$-compatible ring $R$, it is shown that: (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. (ii) Every reduced left IN-ring with finitely many minimalprime ideals is a semiprime left Goldie ring. (iii) Every commutative principal ideal ring (PIR) $R$, is an IN-ring and so is $R[x]$. (iv) If $R$ be a reduced ring and $n$ a positive integer, then $R$ is rightSA if and only if $R[x]/(x^{n+1})$ is right SA.
如果任意两个左理想交点的右湮灭子是两个右湮灭子的和,则称为左池田-中山环$R$(左in环)。作为左in环的推广,如果两个理想的右湮灭子的和是一个理想$R$的右湮灭子,则环$R$称为右sa环。人们自然会问是否可以将IN和SA属性从$R$扩展到$R[x; alpha, delta]$。在本文中,得到了允许这些性质从$R$转移到倾斜多项式$R[x;alpha,delta]$的条件的结果。另外,对于$(alpha,delta)$ -兼容环$R$,可以证明:(i)如果$S = R[x;alpha,delta]$与${rm{Idm}}(R) ={rm{Idm}}(R[x;alpha, delta])$是左In环,则$R$是左McCoy。(ii)每一个具有有限多个最小素数理想的约简左in环是一个半素数左Goldie环。(iii)每个交换主理想环(PIR) $R$都是in环,$R[x]$也是in环。(iv)如果$R$是一个约简环,$n$是一个正整数,那么当且仅当$R[x]/(x^{n+1})$是正确的SA, $R$是正确的SA。
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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 Q2 MATHEMATICS Pub Date : 2023-07-28 DOI: 10.15672/hujms.1241656
Ayşe Güven Sarıhan
In this introductory review, we study Hankel and Toeplitz opera-tors considering them as acting on certain spaces of analytic functions, namelyHardy spaces and compare their spectral properties such as their compactnesscriteria. In contrast to Toeplitz operators, the symbol of a Hankel operator isnot uniquely determined by the operator. We also connect Toeplitz operatorswith Fredholm operators and give some of the most beautiful properties ofToeplitz operators such as the essential spectrum of Toeplitz operator withcontinuous symbol and the index of Toeplitz operator introducing Fredholmoperators firstly.
在这篇介绍性的综述中,我们研究了Hankel算子和Toeplitz算子,认为它们作用于解析函数的某些空间,即hardy空间,并比较了它们的谱性质,如它们的紧性准则。与Toeplitz算子相反,Hankel算子的符号不是唯一地由算子决定的。本文还将Toeplitz算子与Fredholm算子联系起来,给出了Toeplitz算子的一些最美丽的性质,如具有连续符号的Toeplitz算子的本质谱和引入Fredholm算子的Toeplitz算子的索引。
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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 Q2 MATHEMATICS Pub Date : 2023-07-22 DOI: 10.15672/hujms.1167617
U. Shahzad, I. Ahmad, I. Almanjahie, Nadia H. AL – NOOR, M. Hanif
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.
在非参数回归研究中,回归函数的估计是一个重要的问题。近年来,研究人员利用鲁棒均值、中位数和调和均值开发了一些改进的Nadaraya-Watson (N-W)回归估计器。在本文中,我们提出在(N-W)回归估计中利用非传统测度(Hodges-Lehmann, Mid-Range, Tri-Mean, Quartile-Deviation)与稳健最小协方差行列式(MCD)尺度估计的加性组合。利用这些度量,我们得到了一些新的(N-W)回归估计量。我们还试图推导所提出版本的属性,如偏差、方差、均方误差(MSE)和均方误差(MISE)。通过模拟研究,利用两个人工种群,将所提出的估计量与文献中现有的一些估计量进行了比较。我们还结合实际应用,以英国食品数据集Engel95为例,基于提出的和现有的N-W估计器,评估了非参数回归的预测能力。
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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 Q2 MATHEMATICS Pub Date : 2023-07-20 DOI: 10.15672/hujms.1191725
Zhongjian Mao, Wen-bin Zhang, Jing-feng Ti̇an
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.
本文旨在构建时间尺度上多重菱形-α积分的 $n$ 维詹森、哈代和赫米特-哈达马德型不等式。本文还详细考虑了带加权函数的哈代不等式和三变量的赫米特-哈达马德不等式。
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引用次数: 0
期刊
Hacettepe Journal of Mathematics and Statistics
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