Jordan Journal of Mathematics and Statistics
https://jjms.yu.edu.jo/index.php/jjms
<p>The Jordan Journal of Mathematics and Statistics (JJMS), is recognized and supported by the Higher Education Commission subject to peer review, issued quarterly by the Deanship of Scientific Research and Graduate Studies, Yarmouk University, Irbid, Jordan, and funded by the Scientific Research Support Fund, Jordan. Currently, research is published in the journal at no publication fee. The frequency of the journal is four issues (one volume) per year. The JJMS is indexed by</p> <ul> <li>Scopus</li> <li>Ulrich's Periodical Directory</li> <li>Zentralblatt Math and American Mathematical Society</li> <li>Crossref</li> </ul> <p> </p> <p><strong>P-ISSN 2075 -7905, E-ISSN 2227-5487</strong></p> <p><strong>Publisher: Deanship of Scientific Research, Yarmouk University, Irbid, Jordan.</strong></p> <p><strong>E-mail: <em><a href="mailto:alsalman@yu.edu.jo">jjms@yu.edu.jo</a></em></strong></p> <p><strong>Phone: +962-2-7211111 ext. (2075)</strong></p> <p>For queries related to the journal, please contact us at <a href="mailto:jjms@yu.edu.jo">jjms@yu.edu.jo</a></p> <p> </p>Deanship of Research and Graduate Studies, Yarmouk Universityen-USJordan Journal of Mathematics and Statistics2075-7905Relations between (S^ δ/2 T ^γ S^δ/2 ) ^qδ/γ +δ ≥ S^ δq and T^qγ ≥ (T^γ/2 S^δ T^γ/2 )^qγ /γ +δ and their applications
https://jjms.yu.edu.jo/index.php/jjms/article/view/369
<p>Let B^+(H ) represent the cone comprising all positive invertible operators on a complex separable Hilbert space H . When<br>T and S belong to B^+(H), it holds true that for any γ ≥ 0, δ ≥ 0, and 0 < q ≤ 1, the following two inequalities are equivalent:</p> <p> (S^ δ/2 T ^γ S^δ/2 ) ^qδ/γ +δ ≥ S^ δq and T^qγ ≥ (T^γ/2 S^δ T^γ/2 )^qγ /γ +δ</p> <p>In this article, we will explore the connections between these inequalities and provide some applications of this discovery to operator<br>class theory. Furthermore, we will provide a positive response to the question posed in [16].<br><br></p>M.H.M. Rashid
Copyright (c) 2024 Jordan Journal of Mathematics and Statistics
2024-09-122024-09-12172SD-Separability in Topological Spaces
https://jjms.yu.edu.jo/index.php/jjms/article/view/370
<p>Our aim is to introduce a generalization of dense set in topological space, namely SD-dense set, when we used the notion<br>of somewhere dense closure operator. We provide the characterization of this class of sets, and their implications with dense sets and<br>with somewhere dense sets, and study their union and intersection properties, moreover we discuss their behavior as subspaces in some<br>special cases, additionally, we investigate their properties in some particular spaces, and then we prove that SD-dense sets, dense sets,<br>somewhere dense sets and open sets are equivalent in strongly hyperconnected space, after that we illustrate the image of SD-dense sets<br>by particular maps; as SD-irresolute map and SD-continuous map. Finally, we define a new axiom of separability, namely SD-separable<br>space using the notion of SD-dense sets, then we state that SD-separable space is stronger than separable space, and in submaximal<br>space these notions become equivalent, moreover we study the subspaces and the images of SD-separable spaces.<br><br></p>Khadiga A. ArwiniMuna E. Elhmali
Copyright (c) 2024 Jordan Journal of Mathematics and Statistics
2024-09-122024-09-12172Optimal Conjugate Gradient with Spline Scheme for Solving Bagley-Torvik Fractional Differential Problems
https://jjms.yu.edu.jo/index.php/jjms/article/view/371
<p>In this work, a non-polynomial spline function is constructed to solve the Bagley-Torvik Fractional Differential Problems<br>involving derivatives in the Caputo sense. This method transforms the fractional differential equation into a system of linear equations<br>using a spline scheme. The conjugate gradient method is employed for the iterative solution of the linear system. To validate the accuracy<br>of the method, numerical examples with known analytical solutions are tested. The numerical experiments demonstrate satisfactory<br>agreement with the exact solution.<br><br></p>Faraidun K. HamasalhGulnar W. SadiqEmad S. Salam
Copyright (c) 2024 Jordan Journal of Mathematics and Statistics
2024-09-122024-09-12172Automorphisms of semidirect products fixing the non-normal subgroup
https://jjms.yu.edu.jo/index.php/jjms/article/view/372
<p>In this paper, we describe the automorphism group of semidirect product of two groups that fixes the non-normal subgroup<br>of it. We have computed these automorphisms for the non-abelian metacyclic p-group and non-abelian p-groups ( p ≥ 5) of order p4,<br>where p is a prime.<br><br></p>Vipul KakkarRatan Lal
Copyright (c) 2024 Jordan Journal of Mathematics and Statistics
2024-09-122024-09-12172On the Incomplete ( p, q)−Fibonacci and ( p, q)− Lucas Numbers
https://jjms.yu.edu.jo/index.php/jjms/article/view/373
<p>In this present work, the incomplete ( p, q)−Fibonacci and ( p, q)−Lucas numbers are defined. We examine their recurrence<br>relations as well as some of their properties. We derive their generating functions.<br><br></p>Orhan Dis¸kayaHamza Menken
Copyright (c) 2024 Jordan Journal of Mathematics and Statistics
2024-09-122024-09-12172On Recursive Computation of Moments of Generalized Order Statistics for a Transmuted Pareto Distribution and Characterization
https://jjms.yu.edu.jo/index.php/jjms/article/view/374
<p>In this paper, some relations are obtained for recursive computation of moments of generalized order statistics for a modified<br>Pareto distribution. The recursive methods are obtained for raw and product moments. We have also obtained the recursive methods tocompute the moments of specific situations which include order statistics and record values. We have also given some characterization results for the modified Pareto distribution.<br> </p>Saman Hanif ShahbazMuhammad Qaiser Shahbaz
Copyright (c) 2024 Jordan Journal of Mathematics and Statistics
2024-09-122024-09-12172Some Common Fixed-Point Theorems of Kannan-type Contractions with CLR and EA Property on Fuzzy Metric Spaces
https://jjms.yu.edu.jo/index.php/jjms/article/view/375
<p>This manuscript explores generalized Kannan-type contractions in the framework of fuzzy metric spaces. We prove several<br>common fixed-point results of these new contractive mappings via common limit in the range and El Moutawakil-Aamri properties.<br>We provide examples to clarify our results. Our results improvise and generalize a few common fixed-point theorems established by<br>earlier studies.<br><br></p>Koon Sang WongZabidin SallehHabibulla Akhadkulov
Copyright (c) 2024 Jordan Journal of Mathematics and Statistics
2024-09-122024-09-12172Transmuted Fuzzy Entropy: Another Look at Generalized Fuzzy Entropy
https://jjms.yu.edu.jo/index.php/jjms/article/view/376
<p>Generalizing a fuzzy entropy presents a better measure in theory and application. In this article we propose a new concept<br>of generalizing an entropy on the basis of transmutation distribution function. Three transmuted fuzzy entropies are proposed and<br>compared with well established generalized fuzzy entropies in the literature.<br><br></p>Mohammad M. Al-Talib
Copyright (c) 2024 Jordan Journal of Mathematics and Statistics
2024-09-122024-09-12172Computing Nash Optimal Strategies for a Two-Player Positive Game
https://jjms.yu.edu.jo/index.php/jjms/article/view/377
<p>We consider a linear quadratic differential game on an infinite time horizon with two types of an information structure.<br>The game models are considered in both information structures: the open loop design and feedback design. The Newton solver for<br>computing the stabilizing solution of the associated Nash-Riccati equations has been established. Moreover, a convergent linearized<br>iterative method depending on a negative constant is introduced for each information structure. The linearized iteration has a linear<br>convergence rate, however there are cases where the iteration is faster than Newton’s method. Numerical experiments are implemented to explain the computational advantages of the introduced solvers.<br> </p>Ivan G. IvanovIvelin G. Ivanov
Copyright (c) 2024 Jordan Journal of Mathematics and Statistics
2024-09-122024-09-12172Uncertainty Inequalities for Continuous Laguerre Wavelet Transform
https://jjms.yu.edu.jo/index.php/jjms/article/view/378
<p>This paper deals with the Continuous Laguerre Wavelet Transform CLWT, and we prove several versions of the uncertainty<br>inequalities. More precisely, we get the analogue of Heisenberg inequality for CLWT. Moreover, dealing with concentration in time<br>and frequency, we find an L p local type uncertainty principle. Finally, we provide the analogue of Benedicks Amrein Berthier’s type<br>theorem in the case of CLWT.<br> </p>Soumeya HamemSelma Negzaoui
Copyright (c) 2024 Jordan Journal of Mathematics and Statistics
2024-09-122024-09-12172Existence results for a coupled system of multi-term Katugampola fractional differential equations with integral conditions
https://jjms.yu.edu.jo/index.php/jjms/article/view/366
<p>This paper investigates a coupled system of nonlinear multi-term Katugampola fractional differential equations. Under<br>sufficient conditions, it establishes the existence and uniqueness results of the solution by using standard fixed point theorems.<br>Additionally, the paper includes some illustrative examples to strengthen the presented main results.<br><br></p>Billal LekdimBilal Basti
Copyright (c) 2024 Jordan Journal of Mathematics and Statistics
2024-09-122024-09-12172