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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
Fundamental Journal of Mathematics and Applications Pub Date : 2022-08-27 DOI: 10.33401/fujma.1107963
Abdurrahman Büyükkaya, M. Öztürk
{"title":"On Some Fixed Point Theorems for G (Σ, θ , Ξ)− Contractions in Modular b−Metric Spaces","authors":"Abdurrahman Büyükkaya, M. Öztürk","doi":"10.33401/fujma.1107963","DOIUrl":"https://doi.org/10.33401/fujma.1107963","url":null,"abstract":"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.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124669306","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Fundamental Journal of Mathematics and Applications Pub Date : 2022-08-20 DOI: 10.33401/fujma.1134600
Melek Eriş Büyükkaya, Nesrin Güler
{"title":"On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models","authors":"Melek Eriş Büyükkaya, Nesrin Güler","doi":"10.33401/fujma.1134600","DOIUrl":"https://doi.org/10.33401/fujma.1134600","url":null,"abstract":"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.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"137 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134104122","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Fundamental Journal of Mathematics and Applications Pub Date : 2022-08-19 DOI: 10.33401/fujma.1049786
E. Altıntaş, A. Bayar
{"title":"Characterization of Intuitionistic Fuzzy Collineations in Intuitionistic Fuzzy Projective Planes","authors":"E. Altıntaş, A. Bayar","doi":"10.33401/fujma.1049786","DOIUrl":"https://doi.org/10.33401/fujma.1049786","url":null,"abstract":"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.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128442399","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Fundamental Journal of Mathematics and Applications Pub Date : 2022-08-10 DOI: 10.33401/fujma.1127839
O. Okuyucu, Bahar Doğan Yazıcı
{"title":"Generalized Bertrand and Mannheim Curves in 3D Lie Groups","authors":"O. Okuyucu, Bahar Doğan Yazıcı","doi":"10.33401/fujma.1127839","DOIUrl":"https://doi.org/10.33401/fujma.1127839","url":null,"abstract":"In this paper, we give a new approach for Bertrand and Mannheim curves in 3D Lie groups \u0000with bi-invariant metric. By the this way, some conditions including the known results have \u0000been given for a curve to be Bertrand or Mannheim curve in 3D Euclidean space and in 3D \u0000Lie groups.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124094753","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Fundamental Journal of Mathematics and Applications Pub Date : 2022-08-07 DOI: 10.33401/fujma.1069957
E. Ballico
{"title":"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 $mathbb{P}^5$","authors":"E. Ballico","doi":"10.33401/fujma.1069957","DOIUrl":"https://doi.org/10.33401/fujma.1069957","url":null,"abstract":"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 \u0000$Csubset mathbb{P}^5$ such that $d:= deg ({C}) le 11$, $g:= p_a({C}) le 3$ and $h^1(mathcal{O} _C(1)) =0$.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128616065","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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} $
Fundamental Journal of Mathematics and Applications Pub Date : 2022-06-29 DOI: 10.33401/fujma.1038699
M. Alan, Ruhsar Gizem Bi̇ratli
{"title":"On the Exponential Diophantine Equation $(6m^{2}+1)^{x}+(3m^{2}-1)^{y}=(3m)^{z}$","authors":"M. Alan, Ruhsar Gizem Bi̇ratli","doi":"10.33401/fujma.1038699","DOIUrl":"https://doi.org/10.33401/fujma.1038699","url":null,"abstract":"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.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121171337","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Fundamental Journal of Mathematics and Applications Pub Date : 2022-06-10 DOI: 10.33401/fujma.1166846
L. Molinari
{"title":"A note on trigonometric approximations of Bessel functions of the first kind, and trigonometric power sums","authors":"L. Molinari","doi":"10.33401/fujma.1166846","DOIUrl":"https://doi.org/10.33401/fujma.1166846","url":null,"abstract":"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 \u0000an efficient choice of the trigonometric sum. Based on these series, I also obtain straightforward non-standard \u0000evaluations of new parametric sums with powers of cosine and sine functions.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114178339","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Fundamental Journal of Mathematics and Applications Pub Date : 2022-05-20 DOI: 10.33401/fujma.1037940
F. Evirgen, Mehmet Bayirli
{"title":"Determination of Heterogeneity for Manganese Dendrites using Lacunarity Analysis","authors":"F. Evirgen, Mehmet Bayirli","doi":"10.33401/fujma.1037940","DOIUrl":"https://doi.org/10.33401/fujma.1037940","url":null,"abstract":"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.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"106 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127663892","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the Bi-Periodic Mersenne Sequence 关于双周期Mersenne序列
Fundamental Journal of Mathematics and Applications Pub Date : 2022-05-02 DOI: 10.33401/fujma.1078410
Gül ÖZKAN KIZILIRMAK, D. Taşcı
{"title":"On the Bi-Periodic Mersenne Sequence","authors":"Gül ÖZKAN KIZILIRMAK, D. Taşcı","doi":"10.33401/fujma.1078410","DOIUrl":"https://doi.org/10.33401/fujma.1078410","url":null,"abstract":"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.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-05-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125138190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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
Fundamental Journal of Mathematics and Applications Pub Date : 2022-04-26 DOI: 10.33401/fujma.1034862
M. Jeyaraman
{"title":"Fixed Point Theorems in G - Fuzzy Convex Metric Spaces","authors":"M. Jeyaraman","doi":"10.33401/fujma.1034862","DOIUrl":"https://doi.org/10.33401/fujma.1034862","url":null,"abstract":"","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123951580","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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