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Fundamental Journal of Mathematics and Applications最新文献

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On Some Fixed Point Theorems for G (Σ, θ , Ξ)− Contractions in Modular b−Metric Spaces 模b -度量空间中G (Σ, θ, Ξ)−缩缩的不动点定理
Pub Date : 2022-08-27 DOI: 10.33401/fujma.1107963
Abdurrahman Büyükkaya, M. Öztürk
This article aims to specify a new $C-$class function endows with altering distance and ultra altering distance function via generalized $Xi -$ contraction, which is called as the $mathcal{G}left( {Sigma ,vartheta ,Xi } right) - $contraction in modular $b-$metric space. Regarding these new contraction type mappings, the study includes some existence and uniqueness theorems, and to indicate the usability and productivity of these results, some applications related to integral type contractions and an application to the graph structure.
本文旨在通过广义的$Xi -$收缩来指定一个新的$C-$类函数,该函数具有改变距离和超改变距离的函数,称为模$b-$度量空间中的$mathcal{G}left( {Sigma ,vartheta ,Xi } right) - $收缩。对于这些新的压缩类型映射,本文给出了一些存在唯一性定理,并说明了这些结果的可用性和生产力,给出了一些与整型压缩相关的应用,以及在图结构中的应用。
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引用次数: 0
On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models 约束分割线性模型及其简化模型下的预测量和估计量
Pub Date : 2022-08-20 DOI: 10.33401/fujma.1134600
Melek Eriş Büyükkaya, Nesrin Güler
In this study, we consider a partitioned linear model with linear partial parameter constrains, known as a constrained partitioned linear model (CPLM), and its reduced models. A group of formulas on best linear unbiased predictors (BLUPs) and best linear unbiased estimators (BLUEs) in CPLM is derived via some quadratic matrix optimization methods, and further many basic properties of the predictors and estimators are established under some general assumptions. Our main purpose is to derive various inequalities and equalities for the comparison of covariance matrices of BLUPs and BLUEs under CPLM and its reduced models.
在本研究中,我们考虑了一个具有线性部分参数约束的分割线性模型,即约束分割线性模型(constrained partitioned linear model, CPLM)及其简化模型。利用二次矩阵优化方法导出了CPLM中最优线性无偏预测量和最优线性无偏估计量的一组公式,并在一些一般假设下建立了预测量和估计量的许多基本性质。我们的主要目的是推导出在CPLM及其简化模型下blup和BLUEs协方差矩阵比较的各种不等式和等式。
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引用次数: 0
Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes 直觉模糊投影平面上直觉模糊共线的刻画
Pub Date : 2022-08-19 DOI: 10.33401/fujma.1049786
E. Altıntaş, A. Bayar
In this paper, the intuitionistic fuzzy counterparts of the collineations defined in classical projective planes are defined in intuitionistic fuzzy projective planes. The properties of intuitionistic fuzzy projective plane left invariant under the intuitionistic fuzzy collineations are characterized depending on the base point, base line and the membership degrees of intuitionistic fuzzy projective plane.
本文将经典投影平面上定义的共线的直觉模糊对应物定义在直觉模糊投影平面上。根据直觉模糊投影平面的基点、基线和隶属度,刻画了直觉模糊投影平面在直觉模糊共线条件下保持不变的性质。
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引用次数: 0
Generalized Bertrand and Mannheim Curves in 3D Lie Groups 三维李群中的广义Bertrand和Mannheim曲线
Pub Date : 2022-08-10 DOI: 10.33401/fujma.1127839
O. Okuyucu, Bahar Doğan Yazıcı
In this paper, we give a new approach for Bertrand and Mannheim curves in 3D Lie groups with bi-invariant metric. By the this way, some conditions including the known results have been given for a curve to be Bertrand or Mannheim curve in 3D Euclidean space and in 3D Lie groups.
本文给出了双不变度量的三维李群中的Bertrand和Mannheim曲线的一种新方法。通过这种方法,给出了三维欧几里得空间和三维李群中曲线为Bertrand曲线或Mannheim曲线的一些条件,包括已知的结果。
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引用次数: 1
The finiteness of smooth curves of degree $le 11$ and genus $le 3$ on a general complete intersection of a quadric and a quartic in $mathbb{P}^5$ 程度的平滑曲线的有限性 le 11美元,属勒3美元一般完整的二次和四次十字路口美元 mathbb {P} ^ 5美元
Pub Date : 2022-08-07 DOI: 10.33401/fujma.1069957
E. Ballico
Let $Wsubset mathbb{P}^5$ be a general complete intersection of a quadric hypersurface and a quartic hypersurface. In this paper we prove that $W$ contains only finitely many smooth curves $Csubset mathbb{P}^5$ such that $d:= deg ({C}) le 11$, $g:= p_a({C}) le 3$ and $h^1(mathcal{O} _C(1)) =0$.
设$W子集mathbb{P}^5$是二次超曲面与四次超曲面的一般完全交。本文证明了$W$只包含有限多条光滑曲线$C子集mathbb{P}^5$使得$d:= deg ({C}) le 11$, $g:= p_a({C}) le 3$和$h^1(mathcal{O} _C(1)) =0$。
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引用次数: 0
On the Exponential Diophantine Equation $(6m^{2}+1)^{x}+(3m^{2}-1)^{y}=(3m)^{z}$ 在美元指数丢番图方程(6米^ {2}+ 1)^ {x} + (3 m ^ {2} 1) ^ {y} =(3米)^ {z} $
Pub Date : 2022-06-29 DOI: 10.33401/fujma.1038699
M. Alan, Ruhsar Gizem Bi̇ratli
Let $m$ be a positive integer. In this paper we consider the exponential Diophantine equation $(6m^{2}+1)^{x}+(3m^{2}-1)^{y}=(3m)^{z}$ and we show that it has only unique positive integer solution $(x,y,z)=(1,1,2)$ for all $ m>1. $ The proof depends on so called classification method and famous primitive divisor theorem.
设m为正整数。本文考虑指数丢芬图方程$(6m^{2}+1)^{x}+(3m^{2}-1)^{y}=(3m)^{z}$,并证明对于所有$ m>1,它只有唯一的正整数解$(x,y,z)=(1,1,2)$。这个证明依赖于所谓的分类方法和著名的原始因子定理。
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引用次数: 4
A note on trigonometric approximations of Bessel functions of the first kind, and trigonometric power sums 关于第一类贝塞尔函数的三角逼近和三角幂和的注释
Pub Date : 2022-06-10 DOI: 10.33401/fujma.1166846
L. Molinari
I reconsider the approximation of Bessel functions with finite sums of trigonometric functions, in the light of recent evaluations of Neumann-Bessel series with trigonometric coefficients. A proper choice of the angle allows for an efficient choice of the trigonometric sum. Based on these series, I also obtain straightforward non-standard evaluations of new parametric sums with powers of cosine and sine functions.
我重新考虑用有限和的三角函数逼近贝塞尔函数,在最近的评价纽曼-贝塞尔级数与三角系数。选择合适的角度可以有效地选择三角函数和。基于这些级数,我也得到了新的参数和的直接非标准的余弦和正弦函数的幂的评估。
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引用次数: 0
Determination of Heterogeneity for Manganese Dendrites using Lacunarity Analysis 用腔隙分析测定锰枝晶的非均质性
Pub Date : 2022-05-20 DOI: 10.33401/fujma.1037940
F. Evirgen, Mehmet Bayirli
The surface patterns of natural and experimental deposits are important as they are a result of the internal microstructure. For this purpose, lacunarity analysis is applied to determine the heterogeneous nature of deposit surface patterns. In this study, images were digitally moved onto square mesh to determine the heterogeneous situation of manganese dendrite patterns on the natural manganese surface. The relation between the lacunarity values of the images and the box size were examined. The lacunarity values corresponding to the box size values was estimated using the gliding-box algorithm. This relation was determined numerically as a power-law function using nonlinear regression method. It has been shown that the system examined with the generated numerical model function can be defined with three specific parameters. As a result, it has been shown that it is possible to describe the relationship between numerical solution-based lacunarity-box size and also with a third-order nonlinear differential equation. With this study, the lacunarity-box size value on different system images can be determined by using the gliding box algorithm and calculating the coefficient value from the power-law relationship.
自然和实验沉积层的表面图案很重要,因为它们是内部微观结构的结果。为此目的,应用腔隙分析来确定矿床表面图案的非均质性。在本研究中,将图像数字化移动到方形网格上,以确定天然锰表面锰枝晶图案的非均质情况。研究了图像的间隙值与盒子尺寸之间的关系。使用滑动盒算法估计盒大小值对应的空隙度值。用非线性回归方法确定了这种关系的幂律函数形式。结果表明,用所生成的数值模型函数检验的系统可以用三个特定的参数来定义。结果表明,用三阶非线性微分方程来描述基于数值解的空洞盒尺寸之间的关系是可能的。本研究采用滑动盒算法,根据幂律关系计算系数值,确定不同系统图像上的空白盒大小值。
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引用次数: 1
On the Bi-Periodic Mersenne Sequence 关于双周期Mersenne序列
Pub Date : 2022-05-02 DOI: 10.33401/fujma.1078410
Gül ÖZKAN KIZILIRMAK, D. Taşcı
In this paper, the bi-periodic mersenne sequence, which is a generalization of the mersenne sequence, is defined. The characteristic function, generating function and Binet's formula for this sequence are obtained. Also, using Binet's formula, some important identities and properties for this sequence are presented.
本文定义了双周期mersenne序列,它是mersenne序列的推广。得到了该序列的特征函数、生成函数和Binet公式。同时,利用Binet公式,给出了该序列的一些重要的恒等式和性质。
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引用次数: 0
Fixed Point Theorems in G - Fuzzy Convex Metric Spaces 模糊凸度量空间中的不动点定理
Pub Date : 2022-04-26 DOI: 10.33401/fujma.1034862
M. Jeyaraman
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引用次数: 0
期刊
Fundamental Journal of Mathematics and Applications
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