International Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X17420170827Polyharmonic functions with negative coefficients437447http://dx.doi.org/10.22436/jmcs.017.04.01ENK. Al-ShaqsiDepartment of Information Technology, Nizwa College of Technology, Ministry of Manpower, Sultanate of OmanR. Al-KhalDepartment of Mathematics, Sciences College, University of Dammam, Dammam, Saudi Arabia A 2p times continuously differentiable complex-valued mapping \(F=u+i v\) in a domain \( \mathcal D \subset \mathbb C\) is polyharmonic if \(F\) satisfies the polyharmonic equation \(\underbrace{\Delta\cdot\cdot\cdot\Delta}_\text{p} F= 0\), where \(p \in \mathbb N^{+}\) and \(\Delta\) represents the complex Laplacian operator. The main aim of this paper is to introduce a subclasses of polyharmonic mappings. Coefficient conditions, distortion bounds, extreme
points, of the subclasses are obtained.
http://www.isr-publications.com/jmcs/5379/download-polyharmonic-functions-with-negative-coefficientsInternational Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X17420170829Results on soft extremally disconnectedness of soft topological spaces448464http://dx.doi.org/10.22436/jmcs.017.04.02ENBaravan A. AsaadDepartment of Mathematics, Faculty of Science, University of Zakho, Kurdistan-region, Iraq
Molodtsov [D. Molodtsov, Global optimization, control, and games, III, Comput. Math. Appl., \({\bf 37}\) (1999), 19--31] studied the concept of soft sets. The concept of soft sets is introduced as a general mathematical tool for dealing with uncertainty. In this paper, we give some basic relations about different classes of soft sets and soft closure operator. The purpose of this paper is to introduce soft extremally disconnected spaces via soft sets. Furthermore, some relations of soft sets and soft closure via soft extremally disconnected spaces have been investigated.
http://www.isr-publications.com/jmcs/5404/download-results-on-soft-extremally-disconnectedness-of-soft-topological-spacesInternational Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X17420170923Integral inequalities via generalized convex functions465476http://dx.doi.org/10.22436/jmcs.017.04.03ENMuhammad Aslam NoorDepartment of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, PakistanKhalida Inayat NoorDepartment of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, PakistanFarhat SafdarDepartment of Mathematics, COMSATS Institute of Information Technology, Park Road, Islamabad, PakistanIn this paper, we introduce and investigate a new class of
generalized convex functions, called generalized log-convex
function. We establish some new Hermite-Hadamard integral
inequalities via generalized log-convex functions. Our results
represent refinement and improvement of the previously known
results. Several special cases are also discussed. The concepts and
techniques of this paper may stimulate further research in this
field.
http://www.isr-publications.com/jmcs/5645/download-integral-inequalities-via-generalized-convex-functionsInternational Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X17420171014Inverse eigenvalue problems for centrosymmetric matrices under a central principal submatrix constraint477487http://dx.doi.org/10.22436/jmcs.017.04.04ENLi-Jun ZhaoSchool of Mathematics and Information Engineering, Taizhou University, Linhai, Zhejiang, 317000, P. R. ChinaRu HuangDepartment of Mathematics and Computer Science, Emory University, Atlanta, Georgia 30322, USA
This article considers an inverse eigenvalue problem for
centrosymmetric matrices under a central principal submatrix
constraint and the corresponding optimal approximation problem. We
first discuss the specified structure of centrosymmetric matrices
and their central principal submatrices. Then we give some necessary
and sufficient conditions for the solvability of the inverse
eigenvalue problem, and we derive an expression for its general
solution. Finally, we obtain an expression for the solution
to the corresponding optimal approximation problem.
http://www.isr-publications.com/jmcs/5796/download-inverse-eigenvalue-problems-for-centrosymmetric-matrices-under-a-central-principal-submatrix-constraintInternational Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X17420171019Distributed security storage model for large-scale data488505http://dx.doi.org/10.22436/jmcs.017.04.05ENMing ZhangSchool of Information Engineering, Wuhan University of Technology, Wuhan 430070, ChinaWei ChenSchool of Information Engineering, Wuhan University of Technology, Wuhan 430070, ChinaYunpeng CaoSchool of Information Science and Engineering, Linyi University, Linyi 276000, China
With the development of large-scale data, the increasingly users need
to store the data in the distributed storage system due to the fact
that the signal computer can not hold the massive data. However,
the users can not control the data access rules. So the transparent
security management of Large-scale data in distributed networks is a challenge.
To solve this issue, a distributed security storage model is proposed.
This security storage model can deal with the high concurrency and the
complexity of large-scale data management in the distributed environment.
The detailed designed of the transparent security storage system is provided
based on the security storage model. This system allows the users manage
their data and provides confidentiality protection, integrity protection, and
access permission control. Experiments exhibit that the distributed storage model
can improve the data security with I/O performance loss less than 5%.
http://www.isr-publications.com/jmcs/5853/download-distributed-security-storage-model-for-large-scale-dataInternational Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X17420171027Proximal forward-backward splitting method for zeros of sum accretive operators for a fixed point set and inverse problems506526http://dx.doi.org/10.22436/jmcs.017.04.06ENK. SitthithakerngkietNonlinear Dynamic Analysis Research Center, Department of Mathematics, Faculty of Applied Science, King MongkutK. PromluangKMUTTFixed Point Research Laboratory, Department of Mathematics, Room SCL 802 Fixed Point Laboratory, Science Laboratory Building, Faculty of Science, King MongkutP. ThounthongRenewable Energy Research Centre \(\&\) Department of Teacher Training in Electrical Engineering, Faculty of Technical Education, King MongkutP.KumamKMUTT-Fixed Point Theory and Applications Research Group, Theoretical and Computational Science Center (TaCS), Science Laboratory Building, Faculty of Science, King Mongkut In this paper, we investigate regularization method via a proximal point algorithm for solving treating sum of two accretive operators and fixed point problems. Strong convergence theorems are established in the framework of Banach spaces. Also we apply our result to variational inequalities and equilibrium problems. Furthermore, an illustrative numerical example is presented.
http://www.isr-publications.com/jmcs/5936/download-proximal-forward-backward-splitting-method-for-zeros-of-sum-accretive-operators-for-a-fixed-point-set-and-inverse-problemsInternational Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X17420171028\(4\)-step \(5\)-point hybrid block method for the direct solution of second order initial value problems527534http://dx.doi.org/10.22436/jmcs.017.04.07ENAdeyeye OluwaseunSchool of Quantitative Sciences, Universiti Utara Malaysia, Sintok, Kedah, Malaysia
Block methods for the numerical solution of ordinary differential equations (ODEs) are quite prominent in recent literature and second order initial value problems (IVPs) which falls in the family of ODEs is also a well explored area for the application of block methods. The introduction of hybrid block method methods for the solution of second order IVPs has gained good grounds in literature as the presence of off-grid points in the block method has increased the accuracy of the hybrid block methods. However, recent studies still continue to introduce new block methods that will perform more favourably than previously existing when compared in terms of error. Hence, a hybrid block method of order six is presented in this article to compete with previously existing methods of the same order and higher order. The methodology adopted in this article presents a new approach for developing the hybrid block method which is simple to implement and less computationally tiresome. The numerical results show this new \(4\)-step \(5\)-point hybrid block method performing better than previously existing methods.http://www.isr-publications.com/jmcs/5945/download-4-step-5-point-hybrid-block-method-for-the-direct-solution-of-second-order-initial-value-problemsInternational Scientific Research PublicationsJournal of Mathematics and Computer Science(JMCS) ISSN 2008-949X17420171101Classification of a new subclass of \(\xi^{(as)}\)-QSO and its dynamics535544http://dx.doi.org/10.22436/jmcs.017.04.08ENIzzat QarallehDepartment of Mathematics, Tafila Technical University, P. O. Box 179. zip code 66110, Tafila, Jordan A quadratic stochastic operator (QSO) describes the time evolution of different species in biology. The main problem with regard to a nonlinear operator is to study its behavior. This subject has not been studied in depth; even QSOs, which are the simplest nonlinear operators, have not been studied thoroughly. In this paper we introduce a new subclass of \(\xi^{(as)}\)-QSO defined on 2D simplex. first we classify this subclass into 18 non-conjugate classes. Furthermore, we investigate the behavior of one class.
http://www.isr-publications.com/jmcs/5981/download-classification-of-a-new-subclass-of-xias-qso-and-its-dynamics