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On a class of analytic functions closely related to starlike functions with respect to a boundary point 关于一类关于边界点的与星形函数密切相关的解析函数
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231177
K. Dhurai, N. Cho, S. Sivasubramanian
{"title":"On a class of analytic functions closely related to starlike functions with respect to a boundary point","authors":"K. Dhurai, N. Cho, S. Sivasubramanian","doi":"10.3934/math.20231177","DOIUrl":"https://doi.org/10.3934/math.20231177","url":null,"abstract":"In this article, we introduce a new class of analytic functions in the open unit disc that are closely related to functions that are starlike with respect to a boundary point. For this new class of functions, we obtain representation theorem, interesting coefficient estimates and also certain differential subordination implications involving this new class.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70162561","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A novel approach for zero-inflated count regression model: Zero-inflated Poisson generalized-Lindley linear model with applications 零膨胀计数回归模型的一种新方法:零膨胀Poisson广义- lindley线性模型及其应用
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231183
E. Altun, Hana Alqifari, M. Eliwa
{"title":"A novel approach for zero-inflated count regression model: Zero-inflated Poisson generalized-Lindley linear model with applications","authors":"E. Altun, Hana Alqifari, M. Eliwa","doi":"10.3934/math.20231183","DOIUrl":"https://doi.org/10.3934/math.20231183","url":null,"abstract":"Count regression models are important statistical tools to model the discrete dependent variable with known covariates. When the dependent variable exhibits over-dispersion and inflation at zero point, the zero-inflated negative-binomial regression model is used. The presented paper offers a new model as an alternative to the zero-inflated negative-binomial regression model. To do this, Poisson generalized-Lindley distribution is re-parametrized and its parameter estimation problem is discussed via maximum likelihood estimation method. The proposed model is called as zero-inflated Poisson generalized Lindley regression model. The results regarding the efficiency of parameter estimation of the proposed model are evaluated with two simulation studies. To evaluate the success of the proposed model in the case of zero inflation, two datasets are analyzed. According to the results obtained, the proposed model gives better results than the negative-binomial regression model both in case of over-dispersion and in the case of zero inflation.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70162905","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Further representations and computations of the generalized Moore-Penrose inverse 广义Moore-Penrose逆的进一步表示和计算
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231191
Kezheng Zuo, Yang Chen, Li Yuan
{"title":"Further representations and computations of the generalized Moore-Penrose inverse","authors":"Kezheng Zuo, Yang Chen, Li Yuan","doi":"10.3934/math.20231191","DOIUrl":"https://doi.org/10.3934/math.20231191","url":null,"abstract":"The aim of this paper is to provide new representations and computations of the generalized Moore-Penrose inverse. Based on the Moore-Penrose inverse, group inverse, Bott-Duffin inverse and certain projections, some representations for the generalized Moore-Penrose inverse are given. An equivalent condition for the continuity of the generalized Moore-Penrose inverse is proposed. Splitting methods and successive matrix squaring algorithm for computing the generalized Moore-Penrose inverse are presented.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70162999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Riccati equation and metric geometric means of positive semidefinite matrices involving semi-tensor products 涉及半张量积的正半定矩阵的Riccati方程和度量几何均值
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231195
P. Chansangiam, Arnon Ploymukda
{"title":"Riccati equation and metric geometric means of positive semidefinite matrices involving semi-tensor products","authors":"P. Chansangiam, Arnon Ploymukda","doi":"10.3934/math.20231195","DOIUrl":"https://doi.org/10.3934/math.20231195","url":null,"abstract":"We investigate the Riccati matrix equation $ X A^{-1} X = B $ in which the conventional matrix products are generalized to the semi-tensor products $ ltimes $. When $ A $ and $ B $ are positive definite matrices satisfying the factor-dimension condition, this equation has a unique positive definite solution, which is defined to be the metric geometric mean of $ A $ and $ B $. We show that this geometric mean is the maximum solution of the Riccati inequality. We then extend the notion of the metric geometric mean to positive semidefinite matrices by a continuity argument and investigate its algebraic properties, order properties and analytic properties. Moreover, we establish some equations and inequalities of metric geometric means for matrices involving cancellability, positive linear map and concavity. Our results generalize the conventional metric geometric means of matrices.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70163285","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A new subclass of analytic and bi-univalent functions associated with Legendre polynomials 与勒让德多项式相关的解析函数和双一元函数的一个新子类
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231196
Abeer O. Badghaish, Abdel Moneim Y. Lashin, Amani Z. Bajamal, Fayzah A. Alshehri
{"title":"A new subclass of analytic and bi-univalent functions associated with Legendre polynomials","authors":"Abeer O. Badghaish, Abdel Moneim Y. Lashin, Amani Z. Bajamal, Fayzah A. Alshehri","doi":"10.3934/math.20231196","DOIUrl":"https://doi.org/10.3934/math.20231196","url":null,"abstract":"In this paper, we introduce a new subclass of analytic and bi-univalent functions in the open unit disc $ U. $ For this subclass of functions, estimates of the initial coefficients $ leftvert A_{2}rightvert $ and $ leftvert A_{3}rightvert $ of the Taylor-Maclaurin series are given. An application of Legendre polynomials to this subclass of functions is presented. Furthermore, our study discusses several special cases.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70163671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Fixed-point results via $ alpha_{i}^{j} $-$ left({bf D}_{{mathscr{C}}}left(mathfrak{P}_{hat E}right)right) $-contractions in partial $ flat $-metric spaces 不动点结果通过$ alpha_{i}^{j} $ - $ left({bf D}_{{mathscr{C}}}left(mathfrak{P}_{hat E}right)right) $ -缩在部分$ flat $ -度量空间
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231204
Leyla Sağ Dönmez, Abdurrahman Büyükkaya, M. Öztürk
{"title":"Fixed-point results via $ alpha_{i}^{j} $-$ left({bf D}_{{mathscr{C}}}left(mathfrak{P}_{hat E}right)right) $-contractions in partial $ flat $-metric spaces","authors":"Leyla Sağ Dönmez, Abdurrahman Büyükkaya, M. Öztürk","doi":"10.3934/math.20231204","DOIUrl":"https://doi.org/10.3934/math.20231204","url":null,"abstract":"In this study, we characterize a novel contraction mapping referred to as $ alpha_{i}^{j} $-$ left({bf D}_{{mathscr{C}}}left(mathfrak{P}_{hat E}right)right) $-contraction in light of $ {bf D}_{mathscr{C}} $-contraction mappings associated with the Geraghty-type contraction and $ E $-type contraction. Besides, a novel common fixed-point theorem providing such mappings is demonstrated in the context of partial $ flat $-metric spaces. It is stated that the main theorem is a generalization of the existing literature, and its comparisons with the results are expressed. Additionally, the efficiency of the result of this study is demonstrated through some examples and an application to homotopy theory.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70163768","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Global behavior of a max-type system of difference equations of the second order with four variables and period-two parameters 一类二阶四变量双周期参数极大型差分方程系统的全局行为
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231220
T. Sun, G. Su, Bin Qin, Caihong Han
{"title":"Global behavior of a max-type system of difference equations of the second order with four variables and period-two parameters","authors":"T. Sun, G. Su, Bin Qin, Caihong Han","doi":"10.3934/math.20231220","DOIUrl":"https://doi.org/10.3934/math.20231220","url":null,"abstract":"<abstract><p>In this paper, we study global behavior of the following max-type system of difference equations of the second order with four variables and period-two parameters</p> <p><disp-formula> <label/> <tex-math id=\"FE1\"> begin{document}$ left{begin{array}{ll}x_{n} = maxBig{A_n , frac{z_{n-1}}{y_{n-2}}Big}, y_{n} = max Big{B_n, frac{w_{n-1}}{x_{n-2}}Big}, z_{n} = maxBig{C_n , frac{x_{n-1}}{w_{n-2}}Big}, w_{n} = max Big{D_n, frac{y_{n-1}}{z_{n-2}}Big}, end{array}right. nin {0, 1, 2, cdots}, $end{document} </tex-math></disp-formula></p> <p>where $ A_n, B_n, C_n, D_nin (0, +infty) $ are periodic sequences with period 2 and the initial values $ x_{-i}, y_{-i}, z_{-i}, w_{-i}in (0, +infty) (1leq ileq 2) $. We show that if $ min{A_0C_1, B_0D_1, A_1C_0, B_1D_0} < 1 $, then this system has unbounded solutions. Also, if $ min{A_0C_1, B_0D_1, A_1C_0, B_1D_0}geq 1 $, then every solution of this system is eventually periodic with period $ 4 $.</p></abstract>","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70164081","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Asymptotic behavior of solutions of the third-order nonlinear advanced differential equations 三阶非线性高级微分方程解的渐近性质
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231212
B. Qaraad, M. Al Nuwairan
{"title":"Asymptotic behavior of solutions of the third-order nonlinear advanced differential equations","authors":"B. Qaraad, M. Al Nuwairan","doi":"10.3934/math.20231212","DOIUrl":"https://doi.org/10.3934/math.20231212","url":null,"abstract":"The aim of this work is to study some asymptotic properties of a class of third-order advanced differential equations. We present new oscillation criteria that complete, simplify and improve some previous results. We also provide many different examples to clarify the significance of our results.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70164118","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On semi best proximity points for multivalued mappings in quasi metric spaces 拟度量空间中多值映射的半最佳邻近点
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231215
A. Khan, Basit Ali, R. George
{"title":"On semi best proximity points for multivalued mappings in quasi metric spaces","authors":"A. Khan, Basit Ali, R. George","doi":"10.3934/math.20231215","DOIUrl":"https://doi.org/10.3934/math.20231215","url":null,"abstract":"Due to the lack of symmetry property for the quasi metrics, we have considered left and right versions of best proximity points of multivalued mappings of quasi metric spaces. Further we consider the problem of existence of semi (left and right) best proximity points of generalized multivalued contractions of quasi metric spaces via various versions of so called $ p- $property. Some examples are given to explain the results.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70164132","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A new error bound for linear complementarity problems involving $ B- $matrices 涉及$ B- $矩阵的线性互补问题的一个新的误差界
IF 2.2 3区 数学
AIMS Mathematics Pub Date : 2023-01-01 DOI: 10.3934/math.20231218
Hongmin Mo, Yingxue Dong
{"title":"A new error bound for linear complementarity problems involving $ B- $matrices","authors":"Hongmin Mo, Yingxue Dong","doi":"10.3934/math.20231218","DOIUrl":"https://doi.org/10.3934/math.20231218","url":null,"abstract":"In this paper, a new error bound for the linear complementarity problems of $ B- $matrices which is a subclass of the $ P- $matrices is presented. Theoretical analysis and numerical example illustrate that the new error bound improves some existing results.","PeriodicalId":48562,"journal":{"name":"AIMS Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70164314","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","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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