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Certain properties of Bazilevi(breve{c}) type univalent class defined through subordination 通过从属关系定义的 Bazilevi（breve{c}）型单价类的某些性质
IF 0.9
Afrika Matematika Pub Date : 2024-10-10 DOI: 10.1007/s13370-024-01216-2
T. Panigrahi, S. Jena, R. M. El-Ashwah
{"title":"Certain properties of Bazilevi(breve{c}) type univalent class defined through subordination","authors":"T. Panigrahi,&nbsp;S. Jena,&nbsp;R. M. El-Ashwah","doi":"10.1007/s13370-024-01216-2","DOIUrl":"10.1007/s13370-024-01216-2","url":null,"abstract":"<div><p>In the present paper with the aid of subordination, the authors introduce two subclasses of analytic functions denoted by <span>({mathcal {S}}_{alpha , beta }(lambda )~~(alpha ,~beta ,~ lambda in {mathbb {R}},~alpha &lt;1, beta &gt;1, lambda ge 0))</span> and <span>({mathcal {G}}(lambda ))</span> defined in the open unit disk <span>({mathbb {D}}:={z in {mathbb {C}}:|z|&lt;1})</span>. These subclasses are defined through a certain univalent function <span>({mathcal {S}}_{alpha , beta })</span> and the generating function of the Gregory coefficients <span>({mathcal {G}}(lambda ))</span>. We determine upper bounds of the initial coefficients, Fekete–Szeg<span>(ddot{o})</span> functional, Hankel determinant of second order, logarithmic coefficients and inverse coefficients of the functions belongs to these subclasses. Some of the corollaries of the main results are also pointed out.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-024-01216-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411218","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
Characterizations of (mathcal{Q}mathcal{C})-hyperideals in semihypergroups 半超群中的(mathcal{Q}mathcal{C})-超次数的特征
IF 0.9
Afrika Matematika Pub Date : 2024-09-27 DOI: 10.1007/s13370-024-01215-3
Shahnawaz Ali, Mohammad Y. Abbasi, Kostaq Hila, Sabahat A. Khan
{"title":"Characterizations of (mathcal{Q}mathcal{C})-hyperideals in semihypergroups","authors":"Shahnawaz Ali,&nbsp;Mohammad Y. Abbasi,&nbsp;Kostaq Hila,&nbsp;Sabahat A. Khan","doi":"10.1007/s13370-024-01215-3","DOIUrl":"10.1007/s13370-024-01215-3","url":null,"abstract":"<div><p>In this article, we introduce the notion of quasi covered hyperideal (QC-hyperideal) in semihypergroups. The greatest quasi covered hyperideal and the quasi hyperbase of a semihypergroup are studied. We discuss some attributes of these hyperideals, as well as their union and intersection properties and their characterizations in semihypergroups and regular semihypergroups. Finally, we establish a relationship between covered hyperideals, the greatest hyperideal, QC-hyperideals, and the quasi hyperbase with the greatest quasi covered hyperideal.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414674","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 Diophantine equation (T_l=mathcal {U}_n -mathcal {U}_m) Diophantine equation （T_l=mathcal {U}_n -mathcal {U}_m)
IF 0.9
Afrika Matematika Pub Date : 2024-09-21 DOI: 10.1007/s13370-024-01214-4
Pagdame Tiebekabe, Kossi Richmond Kakanou, Ismaïla Diouf
{"title":"The Diophantine equation (T_l=mathcal {U}_n -mathcal {U}_m)","authors":"Pagdame Tiebekabe,&nbsp;Kossi Richmond Kakanou,&nbsp;Ismaïla Diouf","doi":"10.1007/s13370-024-01214-4","DOIUrl":"10.1007/s13370-024-01214-4","url":null,"abstract":"<div><p>In this paper, we have determined the necessary and sufficient conditions so that Tribonacci numbers can be written as the differences of two elements of generalized Lucas sequences. We have also shown that the number of solutions of the equation in the title is finite. For application, we have determined the Tribonacci numbers written as the difference of two Fibonacci numbers.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142412939","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 numerical block hybrid algorithm for solving systems of first-order initial value problems 求解一阶初值问题系统的数值块混合算法
IF 0.9
Afrika Matematika Pub Date : 2024-09-06 DOI: 10.1007/s13370-024-01213-5
Nathaniel Mahwash Kamoh, Bwebum Cleofas Dang, Joshua Sunday
{"title":"A numerical block hybrid algorithm for solving systems of first-order initial value problems","authors":"Nathaniel Mahwash Kamoh,&nbsp;Bwebum Cleofas Dang,&nbsp;Joshua Sunday","doi":"10.1007/s13370-024-01213-5","DOIUrl":"10.1007/s13370-024-01213-5","url":null,"abstract":"<div><p>Attracted by the importance of ordinary differential equations in many physical situations like, engineering, business and health care in particular, an effective and successful numerical algorithm is needed in order to explain many of the ambiguities about the phenomena in many fields of human endeavor. In this study, an interpolation and collocation technique are adopted in deriving a Block Hybrid Algorithm (BHA) for the numerical solution of systems of first-order Initial Value Problems (IVPs). To derive the BHA, the shifted Legendre polynomials was interpolated at two selected points and its derivative was collocated at seven selected points. This led to a continuous scheme which was eventually evaluated at some points to obtain the discrete schemes used in the numerical computation. Furthermore, some illustrative examples are introduced to show the applicability and validity of the proposed algorithm. It was observed that the proposed algorithm has the desired rate of convergence to the exact solution. The suggested method utilizes data at points other than the step numbers which is viewed as an important landmark; another major advantage of this algorithm is that it possesses remarkably small error constants (Table 2). Some graphical representations of the exact and numerical results are presented to show how accurate the numerical results agree with the exact solutions.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-024-01213-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410283","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
Local existence and blow up for the wave equation with nonlinear logarithmic source term and nonlinear dynamical boundary conditions combined with distributed delay 带有非线性对数源项和非线性动力学边界条件的波方程的局部存在性和炸毁，以及分布式延迟
IF 0.9
Afrika Matematika Pub Date : 2024-08-24 DOI: 10.1007/s13370-024-01212-6
Abdelbaki Choucha, Salah Boulaaras, Mohammad Alnegga
{"title":"Local existence and blow up for the wave equation with nonlinear logarithmic source term and nonlinear dynamical boundary conditions combined with distributed delay","authors":"Abdelbaki Choucha,&nbsp;Salah Boulaaras,&nbsp;Mohammad Alnegga","doi":"10.1007/s13370-024-01212-6","DOIUrl":"10.1007/s13370-024-01212-6","url":null,"abstract":"<div><p>In this paper we highlight a type of hyperbolic equation relating the logarithmic source term with distributed delay and dynamic boundary condition. We get, under comfortable primary data is the weak solution to local existence. The results of the solutions were found using the Faydo–Galerkin method and Schoder’s fixed point theorem. Then, the minimum blow-up result was studied. Our work is an extension of some previous work.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413370","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
Multilevel wavelet packets in sobolev space over local fields of positive characteristic 在正特征局部域上的索波列夫空间中的多级小波包
IF 0.9
Afrika Matematika Pub Date : 2024-08-17 DOI: 10.1007/s13370-024-01211-7
Ashish Pathak, Guru P. Singh
{"title":"Multilevel wavelet packets in sobolev space over local fields of positive characteristic","authors":"Ashish Pathak,&nbsp;Guru P. Singh","doi":"10.1007/s13370-024-01211-7","DOIUrl":"10.1007/s13370-024-01211-7","url":null,"abstract":"<div><p>The concepts of multiresolution analysis (MRA) and wavelets in Sobolev space over local fields of positive characteristic (<span>(H^s(mathbb {K}))</span>) are developed by Pathak and Singh [9]. In this paper, we constructed wavelet packets in Sobolev space <span>(H^s(mathbb {K}))</span> and derived their orthogonality at each level. By using convolution theory, an example of wavelet packets in <span>(H^s(mathbb {K}))</span> is presented</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142412168","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
Perov type T-contractive mappings on cone b-metric spaces with generalized c-distance 具有广义c-距离的锥体b-度量空间上的佩罗夫型T-收缩映射
IF 0.9
Afrika Matematika Pub Date : 2024-08-14 DOI: 10.1007/s13370-024-01210-8
Talat Nazir, Mujahid Abbas, Sergei Silvestrov
{"title":"Perov type T-contractive mappings on cone b-metric spaces with generalized c-distance","authors":"Talat Nazir,&nbsp;Mujahid Abbas,&nbsp;Sergei Silvestrov","doi":"10.1007/s13370-024-01210-8","DOIUrl":"10.1007/s13370-024-01210-8","url":null,"abstract":"<div><p>The aim of this paper is to study the sufficient conditions for the existence of fixed points of Perov type <i>T</i>-contractive mappings in the setup of complete cone <i>b</i>-metric space associated with generalized <i>c</i>-distance. Some examples are presented to support our main results and concepts defined herein. The results proved in the paper extend and generalize various well known results in the existing literature.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-024-01210-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411766","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
Development of a Fourier–Stieltjes transform using an induced representation on locally compact groups 利用局部紧凑群上的诱导表示发展傅立叶-斯蒂尔杰斯变换
IF 0.9
Afrika Matematika Pub Date : 2024-08-12 DOI: 10.1007/s13370-024-01199-0
Yao Ihébami Akakpo, Mahouton Norbert Hounkonnou, Koffi Enakoutsa, Kofi V. S. Assiamoua
{"title":"Development of a Fourier–Stieltjes transform using an induced representation on locally compact groups","authors":"Yao Ihébami Akakpo,&nbsp;Mahouton Norbert Hounkonnou,&nbsp;Koffi Enakoutsa,&nbsp;Kofi V. S. Assiamoua","doi":"10.1007/s13370-024-01199-0","DOIUrl":"10.1007/s13370-024-01199-0","url":null,"abstract":"<div><p>In our research, we broaden the scope of Fourier–Stieltjes transforms to encompass locally compact groups, denoted as <i>G</i>. We achieve this extension by leveraging the induced representation from a closed subgroup <i>K</i>. From this, we deduce the Fourier transform <span>({hat{f}})</span> of a Haar-integrable function <i>f</i> defined on <i>G</i>. Specifically, we express <span>({hat{f}})</span> as the Fourier–Stieltjes transform <span>({hat{mu }})</span> of the measure <span>(mu = f lambda )</span>, where <span>( lambda )</span> denotes the Haar measure of <i>G</i>. Our work is significant because when applied to Lie groups with compact subgroups <i>K</i>, our Fourier–Stieltjes transform <span>({hat{m}})</span> exhibits more nuanced characteristics compared to the traditionally defined one via the Gel’fand transform, which is standard in the context of Lie groups. We rigorously substantiate this observation. One of the principal challenges we confront is the construction of the “trigonometric functions”, which serve as the foundation for building the Fourier transform.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411425","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 Cayley sum signed graphs-II 关于 Cayley 和符号图-II
IF 0.9
Afrika Matematika Pub Date : 2024-08-05 DOI: 10.1007/s13370-024-01209-1
Deepakshi Sharma, Sachin Somra, Deepa Sinha
{"title":"On Cayley sum signed graphs-II","authors":"Deepakshi Sharma,&nbsp;Sachin Somra,&nbsp;Deepa Sinha","doi":"10.1007/s13370-024-01209-1","DOIUrl":"10.1007/s13370-024-01209-1","url":null,"abstract":"<div><p>The Cayley sum graph is a graph whose vertex comprises elements of an abelian group <i>G</i> and edges are the sum of these vertices belonging to a subset of <i>G</i>, namely, <i>S</i>. We introduce Cayley sum signed graph by giving the sign to these edges. An edge receives a positive sign if any of the incident vertices belong to <i>S</i>; otherwise, it receives a negative sign. We discuss the balance, clusterability and some properties of derived Cayley sum signed graph.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409975","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 modified Thakur’s iteration for noncyclic Suzuki’s relatively nonexpansive mappings with convergence of best proximity pairs 针对非循环铃木相对非展开映射的改良塔库尔迭代法，具有最佳邻近对的收敛性
IF 0.9
Afrika Matematika Pub Date : 2024-07-31 DOI: 10.1007/s13370-024-01206-4
Sangkhae Suwansoontorn, Nawitcha Onjai-Uea, Thanyarat Jitpeera, Chirasak Mongkolkeha, Konrawut Khammahawong
{"title":"A modified Thakur’s iteration for noncyclic Suzuki’s relatively nonexpansive mappings with convergence of best proximity pairs","authors":"Sangkhae Suwansoontorn,&nbsp;Nawitcha Onjai-Uea,&nbsp;Thanyarat Jitpeera,&nbsp;Chirasak Mongkolkeha,&nbsp;Konrawut Khammahawong","doi":"10.1007/s13370-024-01206-4","DOIUrl":"10.1007/s13370-024-01206-4","url":null,"abstract":"<div><p>In this paper, we modify the Thakur three-step iterative algorithm and provide sufficient conditions and a useful lemma to ensure the convergence of a best proximity pair for a noncyclic relatively Suzuki’s nonexpansive mapping in uniformly convex Banach spaces. Additionally, we present an example to illustrate the results, accompanied by a numerical simulation for the proposed algorithm.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2024-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142415363","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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