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Turkish Journal of Mathematics and Computer Science最新文献

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Face-Counting Identities and Derivatives of Face Polynomials 面算同位数和面多项式的导数
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-12-13 DOI: 10.47000/tjmcs.1120399
Hossein TEİMOORİ FAAL
{"title":"Face-Counting Identities and Derivatives of Face Polynomials","authors":"Hossein TEİMOORİ FAAL","doi":"10.47000/tjmcs.1120399","DOIUrl":"https://doi.org/10.47000/tjmcs.1120399","url":null,"abstract":"In this paper, we first introduce two incidence matrices related to the vertex-deck and the edge-deck \u0000of a given simplicial complex. Then, we obtain two face-counting identities based on these incidence matrices. \u0000Using these face-counting identities, we obtain combinatorial interpretations of the first and the second derivatives \u0000of face polynomials of simplicial complexes. Finally, we propose several interesting open questions and conjectures.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"26 12","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139006496","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
Solution of Integral of the Fourth Power of a Finite-Length Exponential Fourier Series 求解有限长度指数傅里叶级数的四次方积分
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-12-08 DOI: 10.47000/tjmcs.1217379
Hesham Sharkas
{"title":"Solution of Integral of the Fourth Power of a Finite-Length Exponential Fourier Series","authors":"Hesham Sharkas","doi":"10.47000/tjmcs.1217379","DOIUrl":"https://doi.org/10.47000/tjmcs.1217379","url":null,"abstract":"For a periodic function in the form of a finite-length exponential Fourier series (i.e., a discrete finite Fourier transform), this work derives an analytical solution to the definite integral of the fourth power of the function across its periodic interval.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"99 ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139010911","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 Relaxing the Identity Operator in Korovkin Theorem via Statistical Convergence 用统计收敛放宽科洛夫金定理中的恒等算子
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-06-30 DOI: 10.47000/tjmcs.1221861
T. Yurdakadim, E. Tas
{"title":"On Relaxing the Identity Operator in Korovkin Theorem via Statistical Convergence","authors":"T. Yurdakadim, E. Tas","doi":"10.47000/tjmcs.1221861","DOIUrl":"https://doi.org/10.47000/tjmcs.1221861","url":null,"abstract":"An operator version of the Korovkin theorem has recently been obtained by D. Popa. With the motivation of this result, we have extended it by using a more powerful convergence which also includes ordinary convergence. We have also presented an example to illustrate the strength of our theorem.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130323086","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 Lightlike Submanifolds of Poly-Norden Semi-Riemannian Manifolds 关于多诺登半黎曼流形的类光子流形
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-06-30 DOI: 10.47000/tjmcs.1110425
E. Kiliç, T. Acet, Selcen Yüksel Perktaş
{"title":"On Lightlike Submanifolds of Poly-Norden Semi-Riemannian Manifolds","authors":"E. Kiliç, T. Acet, Selcen Yüksel Perktaş","doi":"10.47000/tjmcs.1110425","DOIUrl":"https://doi.org/10.47000/tjmcs.1110425","url":null,"abstract":"In this paper, we introduce and examine invariant and semi-invariant lightlike submanifolds of a poly-Norden semi-Riemannian manifold. Also, we obtain some examples of such types submanifolds and study the conditions for both integrability and totally geodesic foliation description of distributions.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"42 5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125753158","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
Almost Contraction Mappings and $(S,T)$-Stability of Jungck Iteration in Cone Metric Spaces over Banach Algebras Banach代数上锥度量空间上Jungck迭代的几乎收缩映射和$(S,T)$-稳定性
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-06-30 DOI: 10.47000/tjmcs.961439
Faruk Develi, Muttalip Özavsar
{"title":"Almost Contraction Mappings and $(S,T)$-Stability of Jungck Iteration in Cone Metric Spaces over Banach Algebras","authors":"Faruk Develi, Muttalip Özavsar","doi":"10.47000/tjmcs.961439","DOIUrl":"https://doi.org/10.47000/tjmcs.961439","url":null,"abstract":"In this work, we first introduce almost contraction mappings for a pair of two mappings in cone metric spaces over Banach algebras (CMSBA). Then, we observe that the class of such mappings in this setting contains those of many well known mappings. Finally, we prove some fixed point theorems, and obtain $(S,T)$-stability results of Jungck iterations for some mappings in CMSBA.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131238809","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
L$^{infty}$ Decay Estimate for the Klein-Gordon Equation in the Anti-de Sitter Model of the Universe L $^{infty}$宇宙反德西特模型中Klein-Gordon方程的衰减估计
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-06-30 DOI: 10.47000/tjmcs.1105934
Muhammet Yazici
{"title":"L$^{infty}$ Decay Estimate for the Klein-Gordon Equation in the Anti-de Sitter Model of the Universe","authors":"Muhammet Yazici","doi":"10.47000/tjmcs.1105934","DOIUrl":"https://doi.org/10.47000/tjmcs.1105934","url":null,"abstract":"We consider the inital value problem for the Klein-Gordon equation with non-zero initial data in anti-de Sitter spacetime. $L^{infty}$ decay estimate is derived for the solutions to the linear Klein-Gordon equations in the anti-de Sitter spacetime without source term.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"140 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116494250","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
Apostol Bernoulli-Fibonacci Polynomials, Apostol Euler-Fibonacci Polynomials and Their Generating Functions 阿波斯托尔伯努利-斐波那契多项式，阿波斯托尔欧拉-斐波那契多项式及其生成函数
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-06-30 DOI: 10.47000/tjmcs.1242781
Elif Gülal, Naim Tuglu
{"title":"Apostol Bernoulli-Fibonacci Polynomials, Apostol Euler-Fibonacci Polynomials and Their Generating Functions","authors":"Elif Gülal, Naim Tuglu","doi":"10.47000/tjmcs.1242781","DOIUrl":"https://doi.org/10.47000/tjmcs.1242781","url":null,"abstract":"In this article, the Apostol Bernoulli-Fibonacci polynomials are defined and various properties of Apostol Bernoulli-Fibonacci polynomials are obtained. Furthermore, Apostol Euler-Fibonacci numbers and polynomials are found. In addition, harmonic-based F exponential generating functions are defined for Apostol Bernoulli-Fibonacci numbers and Apostol Euler-Fibonacci numbers.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"16 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113942753","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
$Psi_{Gamma}-C$ Sets in Ideal Topological Spaces $Psi_{Gamma}-C$ 理想拓扑空间中的集合
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-06-30 DOI: 10.47000/tjmcs.1123430
A. Tunç, Sena ÖZEN YILDIRIM
{"title":"$Psi_{Gamma}-C$ Sets in Ideal Topological Spaces","authors":"A. Tunç, Sena ÖZEN YILDIRIM","doi":"10.47000/tjmcs.1123430","DOIUrl":"https://doi.org/10.47000/tjmcs.1123430","url":null,"abstract":"In this paper, we present a new type of set called $Psi_{Gamma}-C$ set by using the operator $Psi_{Gamma}$. We investigate the relationships of these sets with some special sets which were studied in the literature. For instance $theta$-open set, semi $theta$-open set, $theta$-semiopen set, regular $theta$-closed set. In particular, we show that $Psi_{Gamma}-C$ set is weaker than $theta$-open set. Furthermore, we prove that the collection of $Psi_{Gamma}-C$ set is closed under arbitrary union. Finally, we obtain the conclusion that the collection of $Psi_{Gamma}-C$ set forms a supratopology.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"103 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123502247","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
A New Approach to Technical Analysis of Oil Prices 石油价格技术分析的新方法
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-06-30 DOI: 10.47000/tjmcs.1117784
M. Akbıyık, Seda Yamaç Akbiyik, Ümit Tura, Elif Erer, Mehtap Çaliş, Ferudun Kaya
{"title":"A New Approach to Technical Analysis of Oil Prices","authors":"M. Akbıyık, Seda Yamaç Akbiyik, Ümit Tura, Elif Erer, Mehtap Çaliş, Ferudun Kaya","doi":"10.47000/tjmcs.1117784","DOIUrl":"https://doi.org/10.47000/tjmcs.1117784","url":null,"abstract":"The aim of this study is to investigate the oil prices, which have crucial impact of an economy, using new ratios called Nickel ratios instead of the golden ratios on technical analysis. The Nickel ratios are developed considering Nickel Fibonacci sequence. This study is the first to use Nickel ratios in technical analysis in economics and finance. In this study, graphs comprising of weekly, daily, $4-$hour and $30-$minute periods are analyzed using Nickel ratios in Fibonacci retracement, fan, arcs and time zones applications, and the results are compared with the golden ratio obtained from the Fibonacci number sequence. In addition, the support and resistance points obtained from Nickel ratios have more significant levels than the golden ratio. The retracement, fan, arcs and time zones graphs with weekly, daily, four hourly and half-hourly data based on the golden and Nickel ratios show that the levels regarding the Nickel ratios confirm more significant points in comparison with the levels regarding the golden ratios. Finally, more efficient results are observed when the ratios of golden and Nickel are considered together.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"1824 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129765690","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
A New Approach on Some Special Curves 一些特殊曲线的新方法
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-06-30 DOI: 10.47000/tjmcs.1141025
Tuba AĞIRMAN AYDIN, H. Kocayiğit
{"title":"A New Approach on Some Special Curves","authors":"Tuba AĞIRMAN AYDIN, H. Kocayiğit","doi":"10.47000/tjmcs.1141025","DOIUrl":"https://doi.org/10.47000/tjmcs.1141025","url":null,"abstract":"In this paper, we obtain some characterizations for a Frenet curve with the help of an alternative frame different from Frenet frame. Also, in the present study we consider weak biharmonic and harmonic 1-type curves by using the mean curvature vector field of the curve. We also study 1-type and biharmonic curves whose mean curvature vector field is in the kernel of Laplacian. We give some theorems for them in the Euclidean 3-space. Moreover, we give the classifications of these type curves.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125450032","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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