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Afrika Matematika最新文献

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On enumeration of hyper nearrings of order less than 4 and their automorphisms 关于阶数小于 4 的超邻域及其自动形态的枚举
IF 0.9
Afrika Matematika Pub Date : 2024-07-15 DOI: 10.1007/s13370-024-01202-8
Somayeh Borhani Nejad Rayeni, Bijan Davvaz
{"title":"On enumeration of hyper nearrings of order less than 4 and their automorphisms","authors":"Somayeh Borhani Nejad Rayeni,&nbsp;Bijan Davvaz","doi":"10.1007/s13370-024-01202-8","DOIUrl":"10.1007/s13370-024-01202-8","url":null,"abstract":"<div><p>In this paper, we partition, enumerate and classify hyper nearrings up to isomorphism of order less than 4 and then determine their automorphism groups.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 3","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141645284","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
Completeness properties of interval metric spaces 区间度量空间的完备性
IF 0.9
Afrika Matematika Pub Date : 2024-07-15 DOI: 10.1007/s13370-024-01200-w
Rukhsar Khatun, Md Sadikur Rahman, Amar Kumar Banerjee, Asoke Kumar Bhunia
{"title":"Completeness properties of interval metric spaces","authors":"Rukhsar Khatun,&nbsp;Md Sadikur Rahman,&nbsp;Amar Kumar Banerjee,&nbsp;Asoke Kumar Bhunia","doi":"10.1007/s13370-024-01200-w","DOIUrl":"10.1007/s13370-024-01200-w","url":null,"abstract":"<div><p>The purpose of this paper is to study the completeness properties of interval metric spaces. The idea of convergence and Cauchyness of sequences with respect to an interval metric are studied to introduce the notions of <i>i</i>-convergent and <i>i</i>-Cauchy sequences respectively. Several relevant results including relations between convergent and <i>i</i>-convergent sequences, Cauchy and <i>i</i>-Cauchy sequences are established. A characterization for completeness of an interval metric space is given in terms of completeness of metric spaces.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 3","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141648737","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
Random forest classifier for high entropy alloys phase diagnosis 用于高熵合金相诊断的随机森林分类器
IF 0.9
Afrika Matematika Pub Date : 2024-07-08 DOI: 10.1007/s13370-024-01198-1
Masoud Yousefi, Khosrow Rahmani, Masoud Rajabi, Ali Reyhani, Mehdi Moudi
{"title":"Random forest classifier for high entropy alloys phase diagnosis","authors":"Masoud Yousefi,&nbsp;Khosrow Rahmani,&nbsp;Masoud Rajabi,&nbsp;Ali Reyhani,&nbsp;Mehdi Moudi","doi":"10.1007/s13370-024-01198-1","DOIUrl":"10.1007/s13370-024-01198-1","url":null,"abstract":"<div><p>The random forest (RF) algorithm is considered as a powerful statistical classifier that is more popular in other fields but is relatively unknown in HEA(s)’s prediction phase. In this research, Random Forest (RF) technique is used to investigate phase selection principles effectively utilizing a large experimental case study on 401 distinct HEAs, comprising 174 <span>(SS)</span>, 54 <span>(IM)</span>, and 173 <span>(SS+IM)</span> phases. The accuracy of the proposed method is almost 10% higher than SVM and KNN for classifying HEA(s). Moreover, the precision of the proposed method is similar to ANN. Experimental results indicate the validity and reliability of the RF-based diagnosis method.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 3","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141668935","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 groups associated with the affine subgroups of (Sp_{2n}(2)) 论与(Sp_{2n}(2))的仿射子群相关的群
IF 0.9
Afrika Matematika Pub Date : 2024-06-26 DOI: 10.1007/s13370-024-01197-2
D. M. Musyoka, A. L. Prins, L. N. Njuguna, L. Chikamai
{"title":"On groups associated with the affine subgroups of (Sp_{2n}(2))","authors":"D. M. Musyoka,&nbsp;A. L. Prins,&nbsp;L. N. Njuguna,&nbsp;L. Chikamai","doi":"10.1007/s13370-024-01197-2","DOIUrl":"10.1007/s13370-024-01197-2","url":null,"abstract":"<div><p>The symplectic group <span>(Sp_{2n}(2))</span> has an affine maximal subgroup of structure <span>(ASp_n=2^{2n-1}{:}Sp_{2n-2}(2))</span> which is a split extension of an elementary abelian 2-group <span>(N=2^{2n-1})</span> by <span>(G=Sp_{2n-2}(2))</span>. The vector space <span>(N=2^{2n-1})</span> and its dual <span>(N^{*})</span> are not equivalent as <span>(2n-1)</span> dimensional <i>G</i>-modules over <i>GF</i>(2). Therefore, a split extension of the form <span>(overline{G}_n=N^{*}{:}Sp_{2n-2}(2)ncong N{:}Sp_{2n-2}(2))</span> exists. In this paper, it will be shown that <span>(overline{G}_ncong text {Aut}(2^{2n-2}{:}Sp_{2n-2}(2))= left( 2^{2n-2}{:}Sp_{2n-2}(2)right) {:} 2)</span> for <span>(nge 3)</span>. Moreover, the ordinary irreducible characters of <span>(overline{G}_n)</span> are studied through the lens of Fischer-Clifford theory. As an example, the Fischer-Clifford matrix technique is used to construct the set Irr<span>((overline{G}_5))</span> of the group <span>(overline{G}_5=2^9{:}Sp_{8}(2))</span> which is associated with the affine subgroup <span>(ASp_5=2^9{:}Sp_{8}(2))</span> of <span>(Sp_{10}(2))</span>.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 3","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-024-01197-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413884","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
Geometric properties of generalized Bessel function of arbitrary order and degree 任意阶和阶的广义贝塞尔函数的几何特性
IF 0.9
Afrika Matematika Pub Date : 2024-06-17 DOI: 10.1007/s13370-024-01195-4
Naveen Kumari, Jugal Kishore Prajapat
{"title":"Geometric properties of generalized Bessel function of arbitrary order and degree","authors":"Naveen Kumari,&nbsp;Jugal Kishore Prajapat","doi":"10.1007/s13370-024-01195-4","DOIUrl":"10.1007/s13370-024-01195-4","url":null,"abstract":"<div><p>The Bessel function and its various generalizations have extensively been studied in various branches of applied mathematics and theoretical physics, including the Geometric Function Theory. In this paper, we study basic characteristics of Bessel functions of order <span>(mu )</span> and degree <span>(nu )</span>. Among the results that we investigate are the results giving the characteristic properties of univalence, convexity and starlikeness. We further investigate the conditions under which the function <span>(L_{mu ,nu })</span> are strongly convex and strongly starlike. Several corollaries are also mentioned depicting the usefulness of the main results, one of the Corollary providing improvement in a result for normalized Bessel function.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 3","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-06-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142412187","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
Existence results, regularity and compactness properties, in the (alpha )-norm, for semilinear partial functional integrodifferential equations with nonlinear Kernel and delay argument 具有非线性内核和延迟参数的半线性偏函数积分微分方程在 $$alpha $$-规范下的存在性结果、正则性和紧凑性特性
IF 0.9
Afrika Matematika Pub Date : 2024-06-15 DOI: 10.1007/s13370-024-01196-3
Boubacar Diao, Mamadou Sy
{"title":"Existence results, regularity and compactness properties, in the (alpha )-norm, for semilinear partial functional integrodifferential equations with nonlinear Kernel and delay argument","authors":"Boubacar Diao,&nbsp;Mamadou Sy","doi":"10.1007/s13370-024-01196-3","DOIUrl":"10.1007/s13370-024-01196-3","url":null,"abstract":"<div><p>In this paper, we consider a finite delay integro-differential equation with a nonlinear kernel in a general Banach space. The nonlinear part is assumed to be continuous with respect to a fractional power of the linear part in the second variable. We prove, using the semigroup theory, the local existence, continuous dependence of the initial data, the phenomena of blowing up, regularity, and compactness properties of the so-called mild solution. An application is provided to illustrate our results.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 3","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141336861","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
Inverse nodal problem with eigenparameter boundary conditions 具有特征参数边界条件的反节点问题
IF 0.9
Afrika Matematika Pub Date : 2024-05-22 DOI: 10.1007/s13370-024-01194-5
Unal Ic, Hikmet Koyunbakan
{"title":"Inverse nodal problem with eigenparameter boundary conditions","authors":"Unal Ic,&nbsp;Hikmet Koyunbakan","doi":"10.1007/s13370-024-01194-5","DOIUrl":"10.1007/s13370-024-01194-5","url":null,"abstract":"<div><p>The reconstruction of potential function using nodal parameters is an inverse problem that has been studied in this work. An efficient and highly helpful transformation allowed for the extraction of a reconstruction formula for the problem’s potential function by a narrow collection of nodal data only. Additionally, the method’s efficacy was shown by a few numerical illustrations.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141109827","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 neutral integrodifferential equations with state-dependent delay in Banach spaces 论巴拿赫空间中具有状态相关延迟的中性微分方程
IF 0.9
Afrika Matematika Pub Date : 2024-05-10 DOI: 10.1007/s13370-024-01193-6
Mbarack Fall, Aziz Mané, Ramkumar Kasinathan, Ravikumar Kasinathan, Mamadou Abdoul Diop
{"title":"On neutral integrodifferential equations with state-dependent delay in Banach spaces","authors":"Mbarack Fall,&nbsp;Aziz Mané,&nbsp;Ramkumar Kasinathan,&nbsp;Ravikumar Kasinathan,&nbsp;Mamadou Abdoul Diop","doi":"10.1007/s13370-024-01193-6","DOIUrl":"10.1007/s13370-024-01193-6","url":null,"abstract":"<div><p>In this work, we investigate the existence of mild solution for semilinear integro-differential systems and semilinear neutral integro-differential systems with state-dependent delay in Banach spaces. Using Mönch’s fixed point theorem, the theory of Grimmer’s resolvent operator and the idea of measures of non-compactness, we prove the existence results. At the end, an example is given to further illustrate the conclusions drawn from the theoretical study.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-05-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140992324","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 approximation by Abel–Poisson and conjugate Abel–Poisson means in Hölder metric 论霍德尔度量中阿贝尔-泊松和共轭阿贝尔-泊松手段的近似值
IF 0.9
Afrika Matematika Pub Date : 2024-05-08 DOI: 10.1007/s13370-024-01190-9
Xhevat Z. Krasniqi
{"title":"On approximation by Abel–Poisson and conjugate Abel–Poisson means in Hölder metric","authors":"Xhevat Z. Krasniqi","doi":"10.1007/s13370-024-01190-9","DOIUrl":"10.1007/s13370-024-01190-9","url":null,"abstract":"<div><p>The degree of approximation (in Hölder metric) of a periodic function belonging to a specific Hölder class by its Abel–Poisson means of Fourier series and of the conjugate function by the conjugate Abel–Poisson means of the conjugate series of the Fourier series is obtained.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141129096","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
Interdependence of additivity and sine additivity 可加性与正弦可加性之间的相互依存关系
IF 0.9
Afrika Matematika Pub Date : 2024-05-06 DOI: 10.1007/s13370-024-01192-7
Bruce Ebanks
{"title":"Interdependence of additivity and sine additivity","authors":"Bruce Ebanks","doi":"10.1007/s13370-024-01192-7","DOIUrl":"10.1007/s13370-024-01192-7","url":null,"abstract":"<div><p>Let <i>S</i> be a semigroup and <i>K</i> a field. A function <span>(f:S rightarrow K)</span> is additive if <span>(f(xy) = f(x) + f(y))</span> for all <span>(x,y in S)</span>, and functions <span>(g,h:S rightarrow K)</span> form a sine pair if they satisfy the sine addition law <span>(g(xy) = g(x)h(y) + h(x)g(y))</span> for all <span>(x,y in S)</span>. Adding these two equations we arrive at the functional equation (*) <span>(f(xy) + g(xy) = f(x) + f(y) + g(x)h(y) + h(x)g(y))</span>. The alienation question for additivity and sine additivity asks whether (*) implies that <i>f</i> is additive and (<i>g</i>, <i>h</i>) is a sine pair. To fully answer this question we find the general solution of (*) for unknown functions <span>(f,g,h:S rightarrow {mathbb {C}})</span>. The solution illustrates a significant amount of interdependence between additivity and sine additivity.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141129529","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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