Earthline Journal of Mathematical Sciences最新文献

{"title":"A Parametric Cox Proportional Hazard Model with Application","authors":"Precious O. Ibeakuzie, S. Onyeagu","doi":"10.34198/ejms.14424.747771","DOIUrl":"https://doi.org/10.34198/ejms.14424.747771","url":null,"abstract":"Survival analysis has become integral to clinical studies, especially in emerging diseases and terminal ailments. This study focused on improving the popular Cox PH model. The new method developed is a parametric type, incorporating the hazard rate of the exponential distribution. It was noted that though the functional form of the Cox PH model was altered, the assumptions were upheld. Additionally, the new model parameters were estimated using the same maximum partial likelihood as the Cox model. Data on the survival times of 137 patients who underwent bone marrow transplants were deployed, and the proposed parametric Cox PH model proved superior to the Cox PH model.","PeriodicalId":482741,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":"36 20","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141270139","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}

{"title":"A Mathematical Logistic Model Describes Both Global CO2 Emissions and its Accumulation in the Atmosphere","authors":"Salvatore Mazzullo","doi":"10.34198/ejms.14424.617630","DOIUrl":"https://doi.org/10.34198/ejms.14424.617630","url":null,"abstract":"A single kinetic model, of a logistic nature, is able to describe two different phenomena: the global emission of CO2 due to the combustion of fossil fuels and the observed accumulation of CO2 in the atmosphere. Unexpectedly, the analysis of the experimental data clearly shows that the two rates of emission and accumulation are almost exactly in phase and differ by a constant factor. The fraction of CO2 that accumulates in the atmosphere is constantly equal to 65% of the emissions. The same percentage also applies to the rate of change of the two phenomena, i.e., the accelerations.","PeriodicalId":482741,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":"29 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140714413","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}

{"title":"Fixed Point Theorems in Extended Convex Quasi s-metric Spaces","authors":"Qusuay H. Alqifiary","doi":"10.34198/ejms.14424.605615","DOIUrl":"https://doi.org/10.34198/ejms.14424.605615","url":null,"abstract":"In this work, through the convex structure, we introduce the concept of the extended convex quasi s-metric spaces. In addition, through Mann's iterative technique, we theorize the existence of a unique fixed point for two types of contraction mapping in extended convex quasi s-metric spaces.","PeriodicalId":482741,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":"106 S115","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140731611","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}

{"title":"$K^{th}$-order Differential Subordination Results of Analytic Functions in the Complex Plane","authors":"A. Wanas, M. M. Soren","doi":"10.34198/ejms.14424.595603","DOIUrl":"https://doi.org/10.34198/ejms.14424.595603","url":null,"abstract":"In recent years, there have been many interesting usages for differential subordinations of analytic functions in Geometric Function Theory of Complex Analysis. The concept of the first and second-order differential subordination have been pioneered by Miller and Mocanu. In 2011, the third-order differential subordination were defined to give a new generalization to the concept of differential subordination. While the fourth-order differential subordination has been introduced in 2020. In the present article, we introduce new concept that is the Kth-order differential subordination of analytic functions in the open unit disk U.","PeriodicalId":482741,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":"2 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140733331","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}

{"title":"A Note on Summability of Infinite Series","authors":"H. Özarslan, Bağdagül Kartal Erdoğan","doi":"10.34198/ejms.14424.589594","DOIUrl":"https://doi.org/10.34198/ejms.14424.589594","url":null,"abstract":"The purpose of the present paper is to get the necessary and sufficient conditions for absolute matrix summability of infinite series.","PeriodicalId":482741,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":"8 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140732782","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}

{"title":"A-stable Two Derivative Mono-Implicit Runge-Kutta Methods for ODEs","authors":"I. B. Aihie, R. Okuonghae","doi":"10.34198/ejms.14324.565588","DOIUrl":"https://doi.org/10.34198/ejms.14324.565588","url":null,"abstract":"An A-stable Two Derivative Mono Implicit Runge-Kutta (ATDMIRK) method is considered herein for the numerical solution of initial value problems (IVPs) in ordinary differential equation (ODEs). The methods are of high-order A-stable for $p=q=lbrace 2s+1rbrace _{s=2}^{7} $ The $p$, $q$ and $s$ are the order of the input, output and the stages of the methods respectively. The numerical results affirm the superior accuracy of the newly develop methods compare to the existing ones.","PeriodicalId":482741,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":"71 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140742713","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}

{"title":"Bounds for Weierstrass Elliptic Function and Jacobi Elliptic Integrals of First and Second Kinds","authors":"S. E. Uwamusi","doi":"10.34198/ejms.14324.535564","DOIUrl":"https://doi.org/10.34198/ejms.14324.535564","url":null,"abstract":"The Weierstrass elliptic function is presented in connection with the Jacobi elliptic integrals of first and second kinds leading to comparing coefficients appearing in the Laurent series expansion with those of Eisenstein series for the cubic polynomial in the meromorphic Weierstrass function.\u0000\u0000It is unified in the formulation the Weierstrass elliptic function with Jacobi elliptic integral by considering motion of a unit mass particle in a cubic potential in terms of bounded and unbounded velocities and the time of flight with imaginary part in the complex function playing a major role. Numerical tools box used are the Konrad-Gauss quadrature and Runge-Kutta fourth order method.","PeriodicalId":482741,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140376014","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}

{"title":"High Order Continuous Extended Linear Multistep Methods for Approximating System of ODEs","authors":"I. M. Esuabana, S. E. Ogunfeyitimi","doi":"10.34198/ejms.14324.501533","DOIUrl":"https://doi.org/10.34198/ejms.14324.501533","url":null,"abstract":"A class of high-order continuous extended linear multistep methods (HOCELMs) is proposed for solving systems of ordinary differential equations (ODEs). These continuous schemes are obtained through multistep collocation at various points to create a single block method with higher dimensions. This class of schemes consists of A-stable methods with a maximum order of $pleq14$, capable of yielding moderately accurate results for equations with several eigenvalues of the Jacobians located close to the imaginary axis. The results obtained from numerical experiments indicate that these schemes show great promise and competitiveness when compared to existing methods in the literature.","PeriodicalId":482741,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":"43 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140377090","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}

{"title":"Two Families of m-fold Symmetric Bi-univalent Functions Involving a Linear Combination of Bazilevic Starlike and Convex Functions","authors":"Samer Chyad Khachi, A. Wanas","doi":"10.34198/ejms.14324.405419","DOIUrl":"https://doi.org/10.34198/ejms.14324.405419","url":null,"abstract":"In the present paper, we define two new families $K M_{Sigma_m}(lambda, gamma, delta ; alpha)$ and $K M_{Sigma_m}^*(lambda, gamma, delta ; beta)$ of holomorphic and m-fold symmetric bi-univalent functions associated with the Bazilevic starlike and convex functions in the open unit disk U. We find upper bounds for the first two Taylor-Maclaurin $left|a_{m+1}right|$ and $left|a_{2 m+1}right|$ for functions in these families. Further, we point out several special cases for our results.","PeriodicalId":482741,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":"689 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140446486","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}

{"title":"$mathbb{T}-$Relative Fuzzy Linear Programming for $mathbb{T}-$Relative Fuzzy Target Coverage Problems","authors":"K. Osawaru, O. O. Olowu","doi":"10.34198/ejms.14224.317331","DOIUrl":"https://doi.org/10.34198/ejms.14224.317331","url":null,"abstract":"Optimal set covering problems are commonplace in communication, remote sensing, logistics, image processing, and network fields [3]. Thus, studies on determining optimal covering sets (sensors) of points (targets) in a region have emerged recently. One characteristic of these studies is the consideration of cases where a target is considered fully covered when it falls within a coverage area (\"Boolean\" coverage). Consequently, optimality solutions/methods/algorithms founded on this coverage scheme are usually too restrictive and (or) precise and so are not suitable for many complex and real life situations, which are most times plagued with ambiguity, vagueness, imprecision and approximate membership of points and (or) covering sets.\u0000\u0000Fuzzy structures have proven to be suitable for the representation and analysis of such complex systems with many successful applications. Although fuzzy sets generalizes a set, a more recent generalization for both and its related concepts is the Relative fuzzy set [1] which gives a dynamic fuzzy representation to sets. $mathbb{T}-$Relative Fuzzy fixed points results of $mathbb{T}-$Relative fuzzy maps were studied in [5] and recently, the concept of $mathbb{T}-$Relative fuzzy linear programming [6] was introduced as a generalization of fuzzy linear programming. The results were applied to generalize the Boolean set based covering problems in literature to a $mathbb{T}-$Relative fuzzy Boolean coverage one. Although, Shan et al. in [15] and others [16] - [21] have given a probabilistic coverage consideration but this lacks subjectivity in representing vagueness and imprecision inherent in most systems.\u0000\u0000In this present article the Linear Programming (LP) formulation of “A Computational Physics-based Algorithm for Target Coverage Problems\" by Jordan Barry and Christopher Thron is generalized by considering a fuzzy and relative fuzzy target coverage instead of the crisp set Boolean coverage. Also we introduce the Fuzzy Linear Programming (FLP) and the $mathbb{T}-$Relative Fuzzy Linear Programming (RFLP) for the set coverage problem which allows for ascertaining dynamic optimality with aspiration levels.","PeriodicalId":482741,"journal":{"name":"Earthline Journal of Mathematical Sciences","volume":"27 14","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139599978","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}