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Afrika Matematika最新文献

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On a family of bivariate orthogonal functions 关于双变量正交函数族
IF 1.1
Afrika Matematika Pub Date : 2023-12-06 DOI: 10.1007/s13370-023-01147-4
Esra Güldoğan Lekesiz
{"title":"On a family of bivariate orthogonal functions","authors":"Esra Güldoğan Lekesiz","doi":"10.1007/s13370-023-01147-4","DOIUrl":"10.1007/s13370-023-01147-4","url":null,"abstract":"<div><p>In this paper we investigate a family of bivariate orthogonal functions arising as a generalization of Koornwinder polynomials in two variables. General properties like recurrence relations and partial differential equations are introduced. Some special cases are considered and a limit relation of these functions is studied. As a consequence, a new class of bivariate orthogonal polynomials is presented.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138558120","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
To study the hyperbolic annular fin with temperature dependent thermal conductivity via optimized Chebyshev polynomials with interior point algorithm 利用优化切比雪夫多项式和内点算法研究具有温度相关导热系数的双曲环形翅片
IF 1.1
Afrika Matematika Pub Date : 2023-11-30 DOI: 10.1007/s13370-023-01151-8
Mahdi Keshtkar, Elyas Shivanian
{"title":"To study the hyperbolic annular fin with temperature dependent thermal conductivity via optimized Chebyshev polynomials with interior point algorithm","authors":"Mahdi Keshtkar,&nbsp;Elyas Shivanian","doi":"10.1007/s13370-023-01151-8","DOIUrl":"10.1007/s13370-023-01151-8","url":null,"abstract":"<div><p>In this paper, the problem of an annular fin of hyperbolic profile with temperature dependent thermal conductivity is discussed. A novel intelligent computational approach is developed for searching the solution. In order to achieve this aim, the governing equation is transformed into an equivalent problem whose boundary conditions are such that they are convenient to apply reformed version of Chebyshev polynomials of the first kind. These Chebyshev polynomials based functions construct approximate series solution with unknown weights. The mathematical formulation of optimization problem consists of an unsupervised error which is minimized by tuning weights via interior point method. The trial approximate solution is validated by imposing tolerance constrained into optimization problem. Furthermore, a more accurate discussion of the effect of fin dimensions, surface convection characteristics and the thermal conductivity parameter on the thermal performance of the fin is graphically presented.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138468332","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 characterization of being a generalized Fibonacci Q-matrix of linear combinations of two generalized Fibonacci Q-matrices 两个广义Fibonacci q矩阵的线性组合的广义Fibonacci q矩阵的表征
IF 1.1
Afrika Matematika Pub Date : 2023-11-29 DOI: 10.1007/s13370-023-01140-x
A. Öndül, T. Demirkol, H. Özdemir
{"title":"On characterization of being a generalized Fibonacci Q-matrix of linear combinations of two generalized Fibonacci Q-matrices","authors":"A. Öndül,&nbsp;T. Demirkol,&nbsp;H. Özdemir","doi":"10.1007/s13370-023-01140-x","DOIUrl":"10.1007/s13370-023-01140-x","url":null,"abstract":"<div><p>It is given a characterization of being a matrix <span>(Q_{g({a_3},{b_3})}^{(k)})</span> of linear combination of a matrix <span>(Q_{g({a_1},{b_1})}^{(n)})</span> and a matrix <span>(Q_{g({a_2},{b_2})}^{(m)})</span>, where <span>(a_{i}, b_{i} in mathbb {R}^{*})</span>, <span>(i=1, 2, 3)</span>, <span>(m, n, k in mathbb {Z})</span>, and <span>(Q_{g({a},{b})}^{(l)})</span> denotes an (<i>a</i>, <i>b</i>)-generalized Fibonacci <i>Q</i>-matrix with <span>(lin mathbb {Z})</span>. In addition, some examples are presented illustrating the main result. Finally, some applications of the main result obtained are given.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138454617","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
The periodic solution of a second order linear equation 二阶线性方程的周期解
IF 1.1
Afrika Matematika Pub Date : 2023-11-28 DOI: 10.1007/s13370-023-01142-9
Ni Hua
{"title":"The periodic solution of a second order linear equation","authors":"Ni Hua","doi":"10.1007/s13370-023-01142-9","DOIUrl":"10.1007/s13370-023-01142-9","url":null,"abstract":"<div><p>This paper deals with a class of second-order linear differential equations with periodic coefficients. By viable transformation, we put the second-order linear differential equation into Riccati’s equation. By means of two periodic solutions of Riccati’s equation and variable transformation, we obtain the existence and uniqueness of the periodic solution of the nonhomogeneous second-order linear differential equation, some new results are obtained.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138449153","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
Algebraic points on the curve of affine equation (y^2 =x(x-3)(x-4)(x-6)(x-7)) 仿射方程曲线上的代数点 (y^2 =x(x-3)(x-4)(x-6)(x-7))
IF 1.1
Afrika Matematika Pub Date : 2023-11-28 DOI: 10.1007/s13370-023-01128-7
Boubacar Sidy Balde, Oumar Sall
{"title":"Algebraic points on the curve of affine equation (y^2 =x(x-3)(x-4)(x-6)(x-7))","authors":"Boubacar Sidy Balde,&nbsp;Oumar Sall","doi":"10.1007/s13370-023-01128-7","DOIUrl":"10.1007/s13370-023-01128-7","url":null,"abstract":"<div><p>In this work, we use the finiteness of the Mordell–Weil group of the Jacobian variety of the curve <span>(mathcal {C}:y^2 =x(x-3)(x-4)(x-6)(x-7))</span> and the Riemann Roch spaces to determine explicitly the set of algebraic points of given degree <i>l</i> over <span>(mathbb {Q})</span> on the curve <span>(mathcal {C})</span>. The results obtained extend the work of Gordon and Grant, who determined the Mordell–Weil group <span>(J(mathbb {Q}))</span> and the set of rational points on the same curve.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138449078","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
Fractional maximal operator in the local Morrey–Lorentz spaces and some applications 局部Morrey-Lorentz空间中的分数极大算子及其应用
IF 1.1
Afrika Matematika Pub Date : 2023-11-27 DOI: 10.1007/s13370-023-01145-6
V. S. Guliyev, C. Aykol, A. Kucukaslan, A. Serbetci
{"title":"Fractional maximal operator in the local Morrey–Lorentz spaces and some applications","authors":"V. S. Guliyev,&nbsp;C. Aykol,&nbsp;A. Kucukaslan,&nbsp;A. Serbetci","doi":"10.1007/s13370-023-01145-6","DOIUrl":"10.1007/s13370-023-01145-6","url":null,"abstract":"<div><p>In this study, we obtain the necessary and sufficient conditions for the boundedness of the fractional maximal operator <span>(M_{alpha })</span> in the local Morrey–Lorentz spaces <span>(M_{p,q;lambda }^{loc}({mathbb {R}}^n))</span>. We use sharp rearrangement inequalities while proving our result. We apply this result to the Schrödinger operator <span>(-Delta + V)</span> on <span>({mathbb {R}}^n)</span>, where the nonnegative potential <i>V</i> belongs to the reverse Hölder class <span>(B_{infty }({mathbb {R}}^n))</span>. The local Morrey–Lorentz <span>(M_{p,r;lambda }^{loc}({mathbb {R}}^n) rightarrow M_{q,s;lambda }^{loc}({mathbb {R}}^n))</span> estimates for the Schrödinger type operators <span>(V^{gamma } (-Delta +V)^{-beta })</span> and <span>(V^{gamma } nabla (-Delta +V)^{-beta })</span> are obtained.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138449079","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 theory for F-set-contraction multimaps and application to a system of integral inclusions f集收缩多映射的不动点理论及其在整包含系统上的应用
IF 1.1
Afrika Matematika Pub Date : 2023-11-25 DOI: 10.1007/s13370-023-01146-5
Maha Belhadj, Mohamed Boumaiza
{"title":"Fixed point theory for F-set-contraction multimaps and application to a system of integral inclusions","authors":"Maha Belhadj,&nbsp;Mohamed Boumaiza","doi":"10.1007/s13370-023-01146-5","DOIUrl":"10.1007/s13370-023-01146-5","url":null,"abstract":"<div><p>In this paper, we prove some generalizations of Darbo’s fixed point theorem for multivalued mappings by considering a measure of noncompactness which does not necessarily have the maximum property. Moreover, we prove some coupled fixed point theorems for multivalued mappings. Our results generalize, prove and extend well-known results in the subject. An application to solve a nonlinear system of integral inclusions is given.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138449070","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 rejoinder model for the population dynamics of the spread of two interacting pieces of information 两个相互作用的信息块传播的种群动态响应模型
IF 1.1
Afrika Matematika Pub Date : 2023-11-24 DOI: 10.1007/s13370-023-01134-9
Emmanuel Jesuyon Dansu, Hiromi Seno
{"title":"A rejoinder model for the population dynamics of the spread of two interacting pieces of information","authors":"Emmanuel Jesuyon Dansu,&nbsp;Hiromi Seno","doi":"10.1007/s13370-023-01134-9","DOIUrl":"10.1007/s13370-023-01134-9","url":null,"abstract":"<div><p>Information warfare requires more attention as competing interests get escalated by the spread of information on various Internet-based social media platforms in recent times. In this work, we construct and analyze a mathematical model with a system of ordinary differential equations to consider how two interacting pieces of information, where the first one is incomplete and misleading while the second one is corrective of the first, evolve with time in an online population. The counter and correctional information is the rejoinder. Human psychological and sociological attributes like disbelief in the rejoinder and increased tendency to keep spreading the misleading information even after knowing the correct one are factored into our model. We find that in correcting a misleading piece of information that is already spreading within a population, the rejoinder has to be released early enough within a certain time range. The findings can help us appreciate the impact of misinformation on the society and promote information literacy at optimal cost.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138437166","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
Some codes over ({mathcal {R}}={mathcal {R}}_{1}{mathcal {R}}_{2}{mathcal {R}}_{3} ) and their applications in secret sharing schemes ({mathcal {R}}={mathcal {R}}_{1}{mathcal {R}}_{2}{mathcal {R}}_{3} )上的一些代码及其在秘密共享方案中的应用
IF 1.1
Afrika Matematika Pub Date : 2023-11-23 DOI: 10.1007/s13370-023-01143-8
Karima Chatouh
{"title":"Some codes over ({mathcal {R}}={mathcal {R}}_{1}{mathcal {R}}_{2}{mathcal {R}}_{3} ) and their applications in secret sharing schemes","authors":"Karima Chatouh","doi":"10.1007/s13370-023-01143-8","DOIUrl":"10.1007/s13370-023-01143-8","url":null,"abstract":"<div><p>Simplex and MacDonald codes have received significant attention from researchers since the inception of coding theory. In this work, we present the construction of linear torsion codes for simplex and MacDonald codes over the ring <span>({mathcal {R}}={mathcal {R}}_{1}{mathcal {R}}_{2}{mathcal {R}}_{3})</span>. We have introduced a novel family of linear codes over <span>({mathbb {F}}_{p})</span>. These codes have been extensively examined with respect to their properties, such as code minimality, weight distribution, and their applications in secret sharing schemes. In addition to this investigation, we have discovered that these codes are also applicable to the association schemes of linear torsion codes for simplex and MacDonald codes over. <span>({mathcal {R}}={mathcal {R}}_{1}{mathcal {R}}_{2}{mathcal {R}}_{3})</span>.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138431612","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 a group extension involving the Suzuki group Sz(8) 关于铃木集团Sz(8)的群延
IF 1.1
Afrika Matematika Pub Date : 2023-11-17 DOI: 10.1007/s13370-023-01130-z
Ayoub B. M. Basheer
{"title":"On a group extension involving the Suzuki group Sz(8)","authors":"Ayoub B. M. Basheer","doi":"10.1007/s13370-023-01130-z","DOIUrl":"10.1007/s13370-023-01130-z","url":null,"abstract":"<div><p>The Suzuki simple group <i>Sz</i>(8) has an automorphism group 3. Using the electronic Atlas [22], the group <i>Sz</i>(8) : 3 has an absolutely irreducible module of dimension 12 over <span>({mathbb {F}}_{2}.)</span> Therefore a split extension group of the form <span>(2^{12}{:}(Sz(8){:}3):= {overline{G}})</span> exists. In this paper we study this group, where we determine its conjugacy classes and character table using the coset analysis technique together with Clifford-Fischer Theory. We determined the inertia factor groups of <span>({overline{G}})</span> by analysing the maximal subgroups of <i>Sz</i>(8) : 3 and maximal of the maximal subgroups of <i>Sz</i>(8) : 3 together with various other information. It turns out that the character table of <span>({overline{G}})</span> is a <span>(43 times 43)</span> complex valued matrix, while the Fischer matrices are all integer valued matrices with sizes ranging from 1 to 7.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"34 4","pages":""},"PeriodicalIF":1.1,"publicationDate":"2023-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-023-01130-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138138504","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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