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Taiwanese Journal of Mathematics最新文献

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$E$-subdifferential of $E$-convex Functions and its Applications to Minimization Problem $E$-凸函数的$E$-子微分及其在最小化问题中的应用
4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/230803
Tadeusz Antczak, Najeeb Abdulaleem
{"title":"$E$-subdifferential of $E$-convex Functions and its Applications to Minimization Problem","authors":"Tadeusz Antczak, Najeeb Abdulaleem","doi":"10.11650/tjm/230803","DOIUrl":"https://doi.org/10.11650/tjm/230803","url":null,"abstract":"In this paper, a new concept of the subdifferential is defined for nondifferentiable (not necessarily) locally Lipschitz functions. Namely, the concept of $E$-subdifferential and the notion of $E$-subconvexity are introduced for $E$-convex functions. Thus, the notion of an $E$-subdifferentiable $E$-convex function is introduced and some properties of this class of nondifferentiable nonconvex functions are studied. The necessary optimality conditions in $E$-subdifferentials terms of the involved functions are established for a new class of nondifferentiable optimization problems. The introduced concept of $E$-subconvexity is used to prove the sufficiency of the aforesaid necessary optimality conditions for nondifferentiable optimization problems in which the involved functions are $E$-subdifferentiable $E$-convex.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"43 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135557174","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Well-balanced and Positivity-preserving Roe-type Numerical Scheme for the Model of Fluid Flows in a Nozzle with Variable Cross-section 变截面喷嘴内流体流动模型的平衡保正roe型数值格式
4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/230804
Dao Huy Cuong, Ngo Nguyen Quoc Bao, Nguyen Duy Khang, Nguyen Nhat Nam
{"title":"Well-balanced and Positivity-preserving Roe-type Numerical Scheme for the Model of Fluid Flows in a Nozzle with Variable Cross-section","authors":"Dao Huy Cuong, Ngo Nguyen Quoc Bao, Nguyen Duy Khang, Nguyen Nhat Nam","doi":"10.11650/tjm/230804","DOIUrl":"https://doi.org/10.11650/tjm/230804","url":null,"abstract":"This paper presents a Roe-type numerical scheme for the model of fluid flows in a nozzle with variable cross-section. The proposed scheme is built using the Roe method combined with stationary contact jumps at interfaces. The scheme is proven to capture smooth stationary waves precisely and preserve the positivity of the fluid's density. The numerical tests show that this approach can give considered accuracy to the exact solutions, except where the exact solution crosses a sonic surface.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135594690","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 Modified Tseng's Algorithm with Extrapolation from the Past for Pseudo-monotone Variational Inequalities 伪单调变分不等式的修正Tseng算法与过去外推
4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/230906
Buris Tongnoi
{"title":"A Modified Tseng's Algorithm with Extrapolation from the Past for Pseudo-monotone Variational Inequalities","authors":"Buris Tongnoi","doi":"10.11650/tjm/230906","DOIUrl":"https://doi.org/10.11650/tjm/230906","url":null,"abstract":"We present Tseng's forward-backward-forward method with extrapolation from the past for pseudo-monotone variational inequalities in Hilbert spaces. In addition, we propose a variable stepsize scheme of the extrapolated Tseng's algorithm governed by the operator which is pseudo-monotone, Lipschitz continuous and sequentially weak-to-weak continuous. We also investigate the algorithm's adaptive stepsize scenario, which arises when it is impossible to calculate the Lipschitz constant of a pseudo-monotone operator correctly. Finally, we prove a weak convergence theorem and conduct a numerical experiment to support it.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136258065","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Error Analysis of Nonconforming Virtual Element Method for Stokes Problem with Low Regularity 低正则性Stokes问题的非协调虚拟单元法的误差分析
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/230205
Tonglin Wang, Jikun Zhao
{"title":"Error Analysis of Nonconforming Virtual Element Method for Stokes Problem with Low Regularity","authors":"Tonglin Wang, Jikun Zhao","doi":"10.11650/tjm/230205","DOIUrl":"https://doi.org/10.11650/tjm/230205","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47660476","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Singular Limit Solutions for a $4$-dimensional Emden–Fowler System of Liouville Type in Some General Case 一般情况下$4$维Liouville型Emden-Fowler系统的奇异极限解
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/221202
Lilia Larbi, N. Trabelsi
{"title":"Singular Limit Solutions for a $4$-dimensional Emden–Fowler System of Liouville Type in Some General Case","authors":"Lilia Larbi, N. Trabelsi","doi":"10.11650/tjm/221202","DOIUrl":"https://doi.org/10.11650/tjm/221202","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41755212","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Orlicz–Hardy Weak Martingale Spaces for Two-parameter 两参数的Orlicz–Hardy弱鞅空间
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/230101
Kaituo Liu, Jianzhong Lu, Jun Wu, Tian Yue
{"title":"Orlicz–Hardy Weak Martingale Spaces for Two-parameter","authors":"Kaituo Liu, Jianzhong Lu, Jun Wu, Tian Yue","doi":"10.11650/tjm/230101","DOIUrl":"https://doi.org/10.11650/tjm/230101","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42720400","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 Three-term Conjugate Gradient Method with a Random Parameter for Large-scale Unconstrained Optimization and its Application in Regression Model 大规模无约束优化的三项随机参数共轭梯度法及其在回归模型中的应用
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/230503
Yueting Yang, Xue Zhang, Guoling Zhou, Mingyuan Cao
{"title":"A Three-term Conjugate Gradient Method with a Random Parameter for Large-scale Unconstrained Optimization and its Application in Regression Model","authors":"Yueting Yang, Xue Zhang, Guoling Zhou, Mingyuan Cao","doi":"10.11650/tjm/230503","DOIUrl":"https://doi.org/10.11650/tjm/230503","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48125634","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 Class of Viscoelastic Wave Equations with Exponential Source and the Nonlinear Strong Damping 一类具有指数源和非线性强阻尼的粘弹性波动方程
IF 0.4 4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/230705
Menglan Liao
{"title":"A Class of Viscoelastic Wave Equations with Exponential Source and the Nonlinear Strong Damping","authors":"Menglan Liao","doi":"10.11650/tjm/230705","DOIUrl":"https://doi.org/10.11650/tjm/230705","url":null,"abstract":"","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44276085","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 Condition for $k$-Wall–Sun–Sun Primes k -Wall-Sun-Sun质数的一个新条件
4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/231003
Lenny Jones
{"title":"A New Condition for $k$-Wall–Sun–Sun Primes","authors":"Lenny Jones","doi":"10.11650/tjm/231003","DOIUrl":"https://doi.org/10.11650/tjm/231003","url":null,"abstract":"Let $k geq 1$ be an integer, and let $(U_{n})$ be the Lucas sequence of the first kind defined by [ U_{0} = 0, quad U_{1} = 1 quad textrm{and} quad U_{n} = kU_{n-1} + U_{n-2} quad textrm{for $n geq 2$}. ] It is well known that $(U_{n})$ is periodic modulo any integer $m geq 2$, and we let $pi(m)$ denote the length of this period. A prime $p$ is called a $k$-Wall–Sun–Sun prime if $pi(p^{2}) = pi(p)$. Let $f(x) in mathbb{Z}[x]$ be a monic polynomial of degree $N$ that is irreducible over $mathbb{Q}$. We say $f(x)$ is monogenic if $Theta = { 1, theta, theta^{2}, ldots, theta^{N-1} }$ is a basis for the ring of integers $mathbb{Z}_{K}$ of $K = mathbb{Q}(theta)$, where $f(theta) = 0$. If $Theta$ is not a basis for $mathbb{Z}_{K}$, we say that $f(x)$ is non-monogenic. Suppose that $k notequiv 0 pmod{4}$ and that $mathcal{D} := (k^{2}+4)/gcd(2,k)^{2}$ is squarefree. We prove that $p$ is a $k$-Wall–Sun–Sun prime if and only if $mathcal{F}_{p}(x) = x^{2p}-kx^{p}-1$ is non-monogenic. Furthermore, if $p$ is a prime divisor of $k^{2}+4$, then $mathcal{F}_{p}(x)$ is monogenic.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"3 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135211250","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
$delta^{sharp}(2,2)$-Ideal Centroaffine Hypersurfaces of Dimension 4 $delta^{sharp}(2,2)$- 4维理想仿心超曲面
4区 数学
Taiwanese Journal of Mathematics Pub Date : 2023-01-01 DOI: 10.11650/tjm/230706
Handan Yıldırım, Luc Vrancken
{"title":"$delta^{sharp}(2,2)$-Ideal Centroaffine Hypersurfaces of Dimension 4","authors":"Handan Yıldırım, Luc Vrancken","doi":"10.11650/tjm/230706","DOIUrl":"https://doi.org/10.11650/tjm/230706","url":null,"abstract":"Ideal submanifolds have been studied from various aspects since Chen invented $delta$-invariants in early 1990s (see [12] for a survey). In centroaffine differential geometry, Chen's invariants denoted by $delta^{sharp}$ are used to determine an optimal bound for the squared norm of the Tchebychev vector field of a hypersurface. We point out that a hypersurface attaining this bound is said to be an ideal centroaffine hypersurface. In this paper, we deal with $delta^{sharp}(2,2)$-ideal centroaffine hypersurfaces in $mathbb{R}^{5}$ and in particularly, we focus on $4$-dimensional $delta^{sharp}(2,2)$-ideal centroaffine hypersurfaces of type $1$.","PeriodicalId":22176,"journal":{"name":"Taiwanese Journal of Mathematics","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135262144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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