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Arabian Journal of Mathematics最新文献

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Orthogonality of skew type and characterization of inner product spaces 斜型的正交性与内积空间的刻划
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-11-20 DOI: 10.1007/s40065-024-00483-y
Jinyu Xia,  Qi Liu, Yuxin Wang, Wenhui Xu, Yongmo Hu, Yongjin Li
{"title":"Orthogonality of skew type and characterization of inner product spaces","authors":"Jinyu Xia,&nbsp; Qi Liu,&nbsp;Yuxin Wang,&nbsp;Wenhui Xu,&nbsp;Yongmo Hu,&nbsp;Yongjin Li","doi":"10.1007/s40065-024-00483-y","DOIUrl":"10.1007/s40065-024-00483-y","url":null,"abstract":"<div><p>In this paper, we investigate the generalization of Hermite-Hadamard-type orthogonality within skew structures. Moslehian and Rassias (Commun Math Anal 8:16–21, 2010) characterized inner product spaces by employing the parallelogram law for skew structures in their research. We introduce the concept of skew orthogonality by integrating the parallelogram law of skew structures with Hermite-Hadamard-type orthogonality and discuss its properties. Finally, we characterize inner product spaces using mappings that preserve skew orthogonality.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"611 - 619"},"PeriodicalIF":0.9,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00483-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142906050","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
Hermitian solution to constraint system of generalized Sylvester quaternion matrix equations 广义Sylvester四元数矩阵方程约束系统的厄米解
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-10-29 DOI: 10.1007/s40065-024-00477-w
Abdur Rehman, Ivan Kyrchei
{"title":"Hermitian solution to constraint system of generalized Sylvester quaternion matrix equations","authors":"Abdur Rehman,&nbsp;Ivan Kyrchei","doi":"10.1007/s40065-024-00477-w","DOIUrl":"10.1007/s40065-024-00477-w","url":null,"abstract":"<div><p>The different systems of Sylvester quaternion matrix equations have prolific functions in system and control. This paper considers a Hermitian solution of a system of Sylvester quaternion matrix equations over a quaternion algebra <span>(mathbb {H})</span>. If some necessary and sufficient conditions are fulfilled, the general solution to these quaternion matrix equations is expressed by explicit representation formulas in terms of generalized inverses. We provide an algorithm and a numerical example based on the original direct method using determinantal representations of the quaternion Moore–Penrose inverse.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"595 - 610"},"PeriodicalIF":0.9,"publicationDate":"2024-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00477-w.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142906114","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
Novel results from quadratically nonlinear elastic wave models using Murnaghan’s potential 利用Murnaghan势的二次非线性弹性波模型的新结果
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-10-12 DOI: 10.1007/s40065-024-00479-8
Hamza Hameed, F. D. Zaman, Shahbaz Ahmad, Hassan Ali
{"title":"Novel results from quadratically nonlinear elastic wave models using Murnaghan’s potential","authors":"Hamza Hameed,&nbsp;F. D. Zaman,&nbsp;Shahbaz Ahmad,&nbsp;Hassan Ali","doi":"10.1007/s40065-024-00479-8","DOIUrl":"10.1007/s40065-024-00479-8","url":null,"abstract":"<div><p>In this article, we study one, two and three-dimensional nonlinear elastic wave equations using quadratically nonlinear Murnaghan potential. We employ two effective methods for obtaining approximate series solutions the Adomian decomposition and the variational iteration method. These methods have the advantage of not requiring any physical parametric assumptions in the problem. Finally, these methods can generate expansion solutions for linear and nonlinear differential equations without perturbation, linearization, or discretization. The results obtained using the adopted methods along various initial and boundary conditions are in excellent agreement with the numerical results on MATLAB, which show the reliability of our methods to these problems. We came to the conclusion that our methods are accurate and simple to use.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"533 - 548"},"PeriodicalIF":0.9,"publicationDate":"2024-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00479-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142906004","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
Random balancing-like sequences 随机的类平衡序列
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-10-12 DOI: 10.1007/s40065-024-00475-y
Asim Patra, Gopal Krishna Panda
{"title":"Random balancing-like sequences","authors":"Asim Patra,&nbsp;Gopal Krishna Panda","doi":"10.1007/s40065-024-00475-y","DOIUrl":"10.1007/s40065-024-00475-y","url":null,"abstract":"<div><p>A balancing-like sequence is a binary recurrence sequence which generalizes the balancing sequence and the sequence of nonnegative integers. This sequence, under certain assumptions, may be used to describe the growth of fortune of a person engaged in some business or profession. Since, in any business or profession, the growth is influenced by many uncertainties, it is more natural to induce some sort of randomness in the balancing-like sequences. If, in a balancing-like sequence, the growth rate is assumed to be a random variable, the resulting sequence will be a stochastic process and the sequence of expectations, in many cases, cannot be described as a binary recurrence sequence. In some cases, the growth rate of expectations increases without limit while, in some cases, it remains finite.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"633 - 649"},"PeriodicalIF":0.9,"publicationDate":"2024-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00475-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142906006","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
On the transcendance of quasi-periodic Rosen continued fractions 拟周期Rosen连分数的超越性
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-10-12 DOI: 10.1007/s40065-024-00478-9
Yosra Besbes, Mohamed Hbaib, Manel Jellali
{"title":"On the transcendance of quasi-periodic Rosen continued fractions","authors":"Yosra Besbes,&nbsp;Mohamed Hbaib,&nbsp;Manel Jellali","doi":"10.1007/s40065-024-00478-9","DOIUrl":"10.1007/s40065-024-00478-9","url":null,"abstract":"<div><p>In this paper, we consider the two Hecke groups <span>(G_{4})</span> and <span>(G_{6})</span> and we use the Schmidt Subspace Theorem to establish the transcendence of some quasi-periodic Rosen continued fractions in order to get the exact analogues of the results established with the regular continued fractions.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"573 - 581"},"PeriodicalIF":0.9,"publicationDate":"2024-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00478-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142906007","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
Ricci flow of Kaehlerian slant submanifolds in complex space forms and its applications 复杂空间形式kaehllian倾斜子流形的Ricci流及其应用
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-10-12 DOI: 10.1007/s40065-024-00474-z
Lamia Saeed Alqahtani, Akram Ali
{"title":"Ricci flow of Kaehlerian slant submanifolds in complex space forms and its applications","authors":"Lamia Saeed Alqahtani,&nbsp;Akram Ali","doi":"10.1007/s40065-024-00474-z","DOIUrl":"10.1007/s40065-024-00474-z","url":null,"abstract":"<div><p>The normalized Ricci flow converges to a constant curvature metric for a connected Kaehlerian slant submanifold in a complex space form if the squared norm of the second fundamental form satisfies certain upper bounds. These bounds include the constant sectional curvature, the slant angle, and the squared norm of the mean curvature vector. Additionally, we demonstrate that the submanifold is diffeomorphic to the sphere <span>(mathbb {S}^{n_1})</span> under some restriction on the mean curvature. We claim that some of our previous results are rare cases.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"455 - 467"},"PeriodicalIF":0.9,"publicationDate":"2024-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00474-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142906005","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
New averaged type algorithms for solving split common fixed point problems for demicontractive mappings 求解半收缩映射分裂公共不动点问题的新平均型算法
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-10-05 DOI: 10.1007/s40065-024-00476-x
Vasile Berinde, Khairul Saleh
{"title":"New averaged type algorithms for solving split common fixed point problems for demicontractive mappings","authors":"Vasile Berinde,&nbsp;Khairul Saleh","doi":"10.1007/s40065-024-00476-x","DOIUrl":"10.1007/s40065-024-00476-x","url":null,"abstract":"<div><p>In this paper we propose new averaged iterative algorithms designed for solving a split common fixed point problem in the class of demicontractive mappings. The algorithms are obtained by inserting an averaged term into the algorithms used in [Li, R. and He, Z., A new iterative algorithm for split solution problems of quasi-nonexpansive mappings <i>J. Inequal. Appl.</i> <b>131</b> (2015), 1–12.] for solving the same problem but in the class of quasi-nonexpansive mappings, which is a subclass of demicontractive mappings. Basically, our investigation is based on the embedding of demicontractive operators in the class of quasi-nonexpansive operators by means of averaged mappings. For the considered algorithms we prove weak and strong convergence theorems in the setting of a real Hilbert space. A numerical example is given to illustrate the results.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"679 - 688"},"PeriodicalIF":0.9,"publicationDate":"2024-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00476-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142905982","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
Hardy–Littlewood maximal function on Lorentz–Herz spaces Lorentz-Herz空间上的Hardy-Littlewood极大函数
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-09-19 DOI: 10.1007/s40065-024-00472-1
Kwok-Pun Ho
{"title":"Hardy–Littlewood maximal function on Lorentz–Herz spaces","authors":"Kwok-Pun Ho","doi":"10.1007/s40065-024-00472-1","DOIUrl":"10.1007/s40065-024-00472-1","url":null,"abstract":"<div><p>This paper extends the study of the generalized Lorentz spaces to the Lorentz–Herz spaces. The Lorentz–Herz spaces consist of all Lebesgue measurable functions such that theirs non-increasing rearrangements belong to the weighted Herz space. The main result of this paper establishes the mapping properties of the Hardy–Littlewood maximal function on the Lorentz–Herz spaces.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"561 - 572"},"PeriodicalIF":0.9,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00472-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142906018","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
Nonlinear damping effects for the 2D Mindlin–Timoshenko system 二维Mindlin-Timoshenko系统的非线性阻尼效应
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-09-19 DOI: 10.1007/s40065-024-00473-0
Ahmed Bchatnia, Sabrine Chebbi, Makram Hamouda
{"title":"Nonlinear damping effects for the 2D Mindlin–Timoshenko system","authors":"Ahmed Bchatnia,&nbsp;Sabrine Chebbi,&nbsp;Makram Hamouda","doi":"10.1007/s40065-024-00473-0","DOIUrl":"10.1007/s40065-024-00473-0","url":null,"abstract":"<div><p>In this article, we investigate the asymptotic behavior of the Mindlin–Timoshenko system under the influence of nonlinear dissipation affecting the rotation angle equations. Initially, we provide a concise review of the system’s solution existence. Subsequently, we demonstrate that the energy associated with the solution of the Mindlin–Timoshenko setup follows a dissipation. Furthermore, under the condition of equal wave speeds, we establish a comprehensive decay theorem for the energy, offering explicit insights into its general behavior.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"485 - 512"},"PeriodicalIF":0.9,"publicationDate":"2024-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s40065-024-00473-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142906019","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
On controllability of driftless control systems on symmetric spaces 论对称空间上无漂移控制系统的可控性
IF 0.9
Arabian Journal of Mathematics Pub Date : 2024-08-30 DOI: 10.1007/s40065-024-00469-w
Archana Tiwari, Rudra Narayan Padhan, Kishor Chandra Pati
{"title":"On controllability of driftless control systems on symmetric spaces","authors":"Archana Tiwari,&nbsp;Rudra Narayan Padhan,&nbsp;Kishor Chandra Pati","doi":"10.1007/s40065-024-00469-w","DOIUrl":"10.1007/s40065-024-00469-w","url":null,"abstract":"<div><p>Symmetric spaces arise in wide variety of problems in Mathematics and Physics. They are mostly studied in Representation theory, Harmonic analysis and Differential geometry. As many physical systems have symmetric spaces as their configuration spaces, the study of controllability on symmetric space is quite interesting. In this paper, a driftless control system of type <span>({dot{x}}= sum _{i=1}^m u_if_i(x))</span> is considered on a symmetric space. For this we have established global controllability condition which is illustrated by few examples of exponential submanifolds of <i>SE</i>(3) and random matrix ensembles.</p></div>","PeriodicalId":54135,"journal":{"name":"Arabian Journal of Mathematics","volume":"13 3","pages":"689 - 702"},"PeriodicalIF":0.9,"publicationDate":"2024-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142188533","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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