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Fundamental Journal of Mathematics and Applications最新文献

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A Note On Kantorovich Type Operators Which Preserve Affine Functions 关于保留仿射函数的康托洛维奇型算子的说明
Fundamental Journal of Mathematics and Applications Pub Date : 2024-03-11 DOI: 10.33401/fujma.1424382
Didem Aydın Arı, Gizem Uğur Yılmaz
{"title":"A Note On Kantorovich Type Operators Which Preserve Affine Functions","authors":"Didem Aydın Arı, Gizem Uğur Yılmaz","doi":"10.33401/fujma.1424382","DOIUrl":"https://doi.org/10.33401/fujma.1424382","url":null,"abstract":"The authors present an integral widening of operators which preserve affine functions. Influenced by the operators which preserve affine functions, we define the integral extension of these operators. We give quantitative type theorem using weighted modulus of continuity. Withal quantitative Voronovskaya theorem is aquired by classical modulus of continuity. When the moments of the operator are known, convergence results with the moments obtained for the Kantorovich form of the same operator is given.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"28 52","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140395891","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 Generalization of Szasz-Mirakjan Kantorovich Operators for Better Error Estimation 一种新的Szasz-Mirakjan Kantorovich算子的推广，用于更好的误差估计
Fundamental Journal of Mathematics and Applications Pub Date : 2023-11-02 DOI: 10.33401/fujma.1355254
Erdem BAYTUNÇ, Hüseyin AKTUĞLU, Nazım MAHMUDOV
{"title":"A New Generalization of Szasz-Mirakjan Kantorovich Operators for Better Error Estimation","authors":"Erdem BAYTUNÇ, Hüseyin AKTUĞLU, Nazım MAHMUDOV","doi":"10.33401/fujma.1355254","DOIUrl":"https://doi.org/10.33401/fujma.1355254","url":null,"abstract":"In this paper, we construct a new sequence of Sz'{a}sz-Mirakjan Kantorovich Operators $K_{n,gamma}(f;x)$ depending on a parameter $gamma$. We prove direct and local approximation properties of these operators. We obtain the operators $K_{n,gamma}(f;x)$ to have better approximation results than classical Sz'{a}sz-Mirakjan Kantorovich Operators for all $xin[0,infty)$, for any $gamma>1$. Furthermore, we investigate the approximation results of these operators graphically and numerically. Moreover, we introduce new operators from $K_{n,gamma}(f;x)$ that preserve affine functions and bivariate case of $K_{n,gamma}(f;x)$. Then, we study their approximation properties and also illustrate the convergence of these new operators comparing with their classical cases.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"4 12","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135972834","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
Wijsman Deferred Invariant Statistical and Strong $p$-Deferred Invariant Equivalence of Order $alpha$ 阶$ α $的Wijsman递延不变统计和强$p$-递延不变等价
Fundamental Journal of Mathematics and Applications Pub Date : 2023-11-02 DOI: 10.33401/fujma.1364368
Esra GÜLLE, Uğur ULUSU
{"title":"Wijsman Deferred Invariant Statistical and Strong $p$-Deferred Invariant Equivalence of Order $alpha$","authors":"Esra GÜLLE, Uğur ULUSU","doi":"10.33401/fujma.1364368","DOIUrl":"https://doi.org/10.33401/fujma.1364368","url":null,"abstract":"With this work, we present the asymptotical strongly $p$-deferred invariant and asymptotical deferred invariant statistical equivalence of order $alpha$ ($0","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"12 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136017631","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
Set-Valued Stabilization of Reaction-Diffusion Model by Chemotherapy and or Radiotherapy 化疗和放疗作用下反应扩散模型的集值稳定
Fundamental Journal of Mathematics and Applications Pub Date : 2023-09-30 DOI: 10.33401/fujma.1299982
Amine MOUSTAFİD
{"title":"Set-Valued Stabilization of Reaction-Diffusion Model by Chemotherapy and or Radiotherapy","authors":"Amine MOUSTAFİD","doi":"10.33401/fujma.1299982","DOIUrl":"https://doi.org/10.33401/fujma.1299982","url":null,"abstract":"This paper aims to control partial differential equations, modeling cancer chemotherapy and or radiotherapy, so in order to asymptotically stabilize the tumor density. Viability kernel of general model on set of initial condition is used to solve the control problem, and characterize the control solution as regulation law of regulation map. Three models from the literature are considered to simulate the results. The first model includes chemotherapy effect on logistic tumor proliferation, while the second one demonstrates radiotherapy effect on exponential tumor increasing, whereas the third one models the effects of the combination of chemotherapy and radiotherapy on Gompertzian tumor growth.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136276640","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
Identification of the Solely Time-Dependent Zero-Order Coefficient in a Linear Bi-Flux Diffusion Equation from an Integral Measurement 线性双通量扩散方程单时变零阶系数的积分辨识
Fundamental Journal of Mathematics and Applications Pub Date : 2023-09-30 DOI: 10.33401/fujma.1248680
İbrahim TEKİN, Mehmet Akif ÇETİN
{"title":"Identification of the Solely Time-Dependent Zero-Order Coefficient in a Linear Bi-Flux Diffusion Equation from an Integral Measurement","authors":"İbrahim TEKİN, Mehmet Akif ÇETİN","doi":"10.33401/fujma.1248680","DOIUrl":"https://doi.org/10.33401/fujma.1248680","url":null,"abstract":"Bi-flux diffusion equation, can be easily affected by the existence of external factors, is known as an anomalous diffusion. In this paper, the inverse problem (IP) of determining the solely time-dependent zero-order coefficient in a linear Bi-flux diffusion equation with initial and homogeneous boundary conditions from an integral additional specification of the energy is considered. The unique solvability of the inverse problem is demonstrated by using the contraction principle for sufficiently small times.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136278150","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
Parameter Estimation for a Class of Fractional Stochastic SIRD Models with Random Perturbations 一类具有随机扰动的分数阶随机SIRD模型的参数估计
Fundamental Journal of Mathematics and Applications Pub Date : 2023-06-30 DOI: 10.33401/fujma.1212268
Na NİE, Jun JİANG, Yuqiang FENG
{"title":"Parameter Estimation for a Class of Fractional Stochastic SIRD Models with Random Perturbations","authors":"Na NİE, Jun JİANG, Yuqiang FENG","doi":"10.33401/fujma.1212268","DOIUrl":"https://doi.org/10.33401/fujma.1212268","url":null,"abstract":"The classical SIRD model is extended to the conformable fractional stochastic SIRD model. The differences between the fractional stochastic SIRD model and the integer stochastic SIRD model are analyzed and compared using COVID-19 data from India. The results show that when the order of the fractional stochastic SIRD model is between $[0.93,0.99]$, the root mean square error between the simulated value and the real value of the number of infections is smaller than that of the integer stochastic SIRD model. Then, the maximum likelihood estimation of the parameters of the conformable fractional stochastic SIRD model is carried out, and compared with the maximum likelihood estimation results of the parameters of the integer stochastic SIRD model, It can be seen that the root mean square error of the fractional stochastic SIRD model is smaller when the fractional order is between $[0.93,0.99]$.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"136 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":"136300829","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 Smoothing Algorithm to Solve a System of Nonlinear Inequalities 求解非线性不等式系统的一种新的平滑算法
Fundamental Journal of Mathematics and Applications Pub Date : 2023-06-19 DOI: 10.33401/fujma.1261409
Nurullah Yilmaz, Aysegul Kayacan
{"title":"A New Smoothing Algorithm to Solve a System of Nonlinear Inequalities","authors":"Nurullah Yilmaz, Aysegul Kayacan","doi":"10.33401/fujma.1261409","DOIUrl":"https://doi.org/10.33401/fujma.1261409","url":null,"abstract":"In this study, the system of nonlinear inequalities (SNI) problem is investigated. First, a new smoothing technique for the ``$max$'' function is proposed. Then, a new smoothing algorithm is developed in order to solve SNI by combining the smoothing technique with the iterative method. The new algorithm is applied to some numerical examples to show the efficiency of our algorithm.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126189002","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
Constant Angle Ruled Surfaces in E_{1}^{3} E_{1}^{3}中的恒角直纹曲面
Fundamental Journal of Mathematics and Applications Pub Date : 2023-04-18 DOI: 10.33401/fujma.1218966
Aykut Has, B. Yilmaz, Y. Yaylı
{"title":"Constant Angle Ruled Surfaces in E_{1}^{3}","authors":"Aykut Has, B. Yilmaz, Y. Yaylı","doi":"10.33401/fujma.1218966","DOIUrl":"https://doi.org/10.33401/fujma.1218966","url":null,"abstract":"In this study, for the first time, a method is given for a developable ruled surface to be a constant angle ruled surface. The general equations of constant angle surfaces have been shown in the studies done so far. In this study, a new method is given on how to obtain a constant angled surface when any constant direction is given in Minkowski $3-$space.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-04-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114820351","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 SOME SPECTRAL PROPERTIES OF DISCRETE STURM-LIOUVILLE OPERATOR 离散sturm-liouville算子的一些谱性质
Fundamental Journal of Mathematics and Applications Pub Date : 2023-03-24 DOI: 10.33401/fujma.1242330
Ayşe Çiğdem Yar, E. Yilmaz, Tuba Gulsen
{"title":"ON SOME SPECTRAL PROPERTIES OF DISCRETE STURM-LIOUVILLE OPERATOR","authors":"Ayşe Çiğdem Yar, E. Yilmaz, Tuba Gulsen","doi":"10.33401/fujma.1242330","DOIUrl":"https://doi.org/10.33401/fujma.1242330","url":null,"abstract":"Time scale theory helps us to combine differential equations with \u0000difference equations. Especially in models such as biology, medicine and economics, \u0000since the independent variable is handled discrete, it requires us to \u0000analyze in discrete clusters. In these cases, the difference equations defined \u0000in Z are considered. Boundary value problems (BVP’s) are used to solve and \u0000model problems in many physical area. In this study, we examined spectral \u0000features of discrete Sturm-Liouville problem. We have given some examples \u0000to make subject understandable.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127237772","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
An Examination for the Intersection of Two Ruled Surfaces 两个直纹曲面交点的检验
Fundamental Journal of Mathematics and Applications Pub Date : 2023-03-23 DOI: 10.33401/fujma.1235668
Emel Karaca
{"title":"An Examination for the Intersection of Two Ruled Surfaces","authors":"Emel Karaca","doi":"10.33401/fujma.1235668","DOIUrl":"https://doi.org/10.33401/fujma.1235668","url":null,"abstract":"In this study, firstly, each natural lift curve of the main curve is corresponded to the ruled surface by exploitting E. Study mapping and the relation among the subset of the tangent bundle of unit 2-sphere, Tbar{M} and ruled surfaces in IR^{3}. Secondly, the intersection of two ruled surfaces, which are obtained by using the relation given above, is examined for the condition of the zero-set of λ(u, v) = 0. Then, all redundant and non-redundant solutions of the zero-set are investigated. Furthermore, the degenerate situations (u, v) = 0, where the whole plane is degenerated by the zero-set,, are denoted. Finally, some examples are given to verify the results.","PeriodicalId":199091,"journal":{"name":"Fundamental Journal of Mathematics and Applications","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122600363","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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