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Afrika Matematika最新文献

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Screen slant lightlike submanifolds of metallic semi-Riemannian manifolds 金属半黎曼流形的屏状斜光状子流形
IF 1.1
Afrika Matematika Pub Date : 2023-11-16 DOI: 10.1007/s13370-023-01123-y
Mehraj Ahmad Lone, Idrees Fayaz Harry
{"title":"Screen slant lightlike submanifolds of metallic semi-Riemannian manifolds","authors":"Mehraj Ahmad Lone,&nbsp;Idrees Fayaz Harry","doi":"10.1007/s13370-023-01123-y","DOIUrl":"10.1007/s13370-023-01123-y","url":null,"abstract":"<div><p>We introduce screen slant lightlike submanifolds of metallic semi-Riemannian manifolds. We find necessary and sufficient conditions for the induced connection to be a metric connection. Moreover, we investigate some equivalent conditions for integrability of such submanifolds.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-11-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134796605","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}
引用次数: 0
Embedded varieties, X-ranks and uniqueness or finiteness of the solutions 嵌入变量、x阶和解的唯一性或有限性
IF 1.1
Afrika Matematika Pub Date : 2023-11-14 DOI: 10.1007/s13370-023-01133-w
E. Ballico
{"title":"Embedded varieties, X-ranks and uniqueness or finiteness of the solutions","authors":"E. Ballico","doi":"10.1007/s13370-023-01133-w","DOIUrl":"10.1007/s13370-023-01133-w","url":null,"abstract":"<div><p>Let <span>(Xsubset mathbb {P}^r)</span> be an integral and non-degenerate variety. For any <span>(qin mathbb {P}^r)</span> its <i>X</i>-rank <span>(r_X(q))</span> is the minimal cardinality of a finite subset of <i>X</i> whose linear span contains <i>q</i>. The solution set <span>(mathcal {S}(X,q))</span> of <span>(qin mathbb {P}^r)</span> is the set of all <span>(Ssubset X)</span> such that <span>(#S=r_X(q))</span> and <i>S</i> spans <i>q</i>. We prove that if <span>(Xne mathbb {P}^r)</span> there is at least one <i>q</i> with <span>(#mathcal {S}(X,q)&gt;1)</span> and that for almost all pairs (<i>X</i>, <i>q</i>) we have <span>(dim mathcal {S}(X,q)&gt;0)</span>.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134796429","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}
引用次数: 0
A numerical algorithm for solitary wave solutions of the GEW equation GEW方程孤波解的数值算法
IF 1.1
Afrika Matematika Pub Date : 2023-11-13 DOI: 10.1007/s13370-023-01141-w
Melike Karta
{"title":"A numerical algorithm for solitary wave solutions of the GEW equation","authors":"Melike Karta","doi":"10.1007/s13370-023-01141-w","DOIUrl":"10.1007/s13370-023-01141-w","url":null,"abstract":"<div><p>The present article attempts to obtain numerical solutions for the GEW equation with the Lie–Trotter splitting algorithm. For this reason, in accordance with the rules of the algorithm, the main problem is split into two sub-equations, linear and non-linear. By applying Galerkin finite element method with cubic B-spline to each sub-equation, two numerical schemes are obtained and two problems for them are discussed. Error norms <span>(L_{2})</span> and <span>(L_{infty })</span> and three conservation properties <span>(I_{1},I_{2})</span> and <span>(I_{3})</span> are calculated to measure the reliability and performance of the proposed technique and find new approximate solutions. The results generated as a result of the calculation are compared with those produced by other methods in the literature. Stability analysis is examined using the Fourier method to indicate that the numerical approach is unconditionally stable. Based on the results obtained, it can be seen that this technique may be preferred to be applied to other partial differential equations such as the equation discussed in the current study.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134796446","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}
引用次数: 0
Half-discrete of Hilbert inequality for three variables 三变量希尔伯特不等式的半离散
IF 1.1
Afrika Matematika Pub Date : 2023-11-13 DOI: 10.1007/s13370-023-01139-4
Nizar Kh. Al-Oushoush
{"title":"Half-discrete of Hilbert inequality for three variables","authors":"Nizar Kh. Al-Oushoush","doi":"10.1007/s13370-023-01139-4","DOIUrl":"10.1007/s13370-023-01139-4","url":null,"abstract":"<div><p>Through this research, we introduce two new forms of the half-discrete Hilbert inequality for three variables. In addition, we show that the constants that appear on the right-hand of inequalities are the best. Also, we introduce the equivalence forms of the two inequalities.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134796447","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}
引用次数: 0
Classes of p-valent harmonic functions defined by q-derivative operator 由q导数算子定义的p价调和函数类
IF 1.1
Afrika Matematika Pub Date : 2023-11-13 DOI: 10.1007/s13370-023-01129-6
T. M. Seoudy
{"title":"Classes of p-valent harmonic functions defined by q-derivative operator","authors":"T. M. Seoudy","doi":"10.1007/s13370-023-01129-6","DOIUrl":"10.1007/s13370-023-01129-6","url":null,"abstract":"<div><p>In this paper we obtain coefficient characterization, extreme points and distortion bounds for the classes of <span>( p- )</span>valent harmonic functions defined by <span>(q-)</span>derivative operator. Some of our results improve and generalize previously known results.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134796461","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}
引用次数: 0
Quasilinear elliptic systems with nonstandard growth conditions in Orlicz-Sobolev spaces Orlicz-Sobolev空间中具有非标准生长条件的拟线性椭圆系统
IF 1.1
Afrika Matematika Pub Date : 2023-11-12 DOI: 10.1007/s13370-023-01136-7
Farah Balaadich, Elhoussine Azroul
{"title":"Quasilinear elliptic systems with nonstandard growth conditions in Orlicz-Sobolev spaces","authors":"Farah Balaadich,&nbsp;Elhoussine Azroul","doi":"10.1007/s13370-023-01136-7","DOIUrl":"10.1007/s13370-023-01136-7","url":null,"abstract":"<div><p>An existence result for quasilinear elliptic systems with nonstandard growth/coercive conditions, <span>(W^{-1}L_{overline{M}})</span>-data and no sign condition is proved.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134878235","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}
引用次数: 0
Fixed point sets of multivalued rational contractions with stability analysis 具有稳定性分析的多值有理收缩不动点集
IF 1.1
Afrika Matematika Pub Date : 2023-11-11 DOI: 10.1007/s13370-023-01109-w
Binayak S. Choudhury, Nikhilesh Metiya, Sunirmal Kundu
{"title":"Fixed point sets of multivalued rational contractions with stability analysis","authors":"Binayak S. Choudhury,&nbsp;Nikhilesh Metiya,&nbsp;Sunirmal Kundu","doi":"10.1007/s13370-023-01109-w","DOIUrl":"10.1007/s13370-023-01109-w","url":null,"abstract":"<div><p>The present paper is on fixed point theory in set valued analysis. Here putting several concepts together, we define a set valued contraction and establish that such contractions have fixed points in a complete metric space. We have two main theorems in one of which we use <span>(alpha )</span>-regularity condition of the space as a substitute of the continuity requirement on the multivalued contraction. There are some illustrative examples and corollaries. We also perform stability analysis of fixed point sets. We establish that the fixed point sets associated with the mappings we consider in our theorems are stable. In the last section we discuss some consequences of the main results of this paper.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134795979","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}
引用次数: 0
A general stability result for swelling porous elastic media with nonlinear damping and nonlinear delay term 具有非线性阻尼和非线性延迟项的膨胀多孔弹性介质的一般稳定性结果
IF 1.1
Afrika Matematika Pub Date : 2023-11-11 DOI: 10.1007/s13370-023-01126-9
Abdelaziz Soufyane, Mounir Afilal, Tijani Apalara, Karim Rhofir
{"title":"A general stability result for swelling porous elastic media with nonlinear damping and nonlinear delay term","authors":"Abdelaziz Soufyane,&nbsp;Mounir Afilal,&nbsp;Tijani Apalara,&nbsp;Karim Rhofir","doi":"10.1007/s13370-023-01126-9","DOIUrl":"10.1007/s13370-023-01126-9","url":null,"abstract":"<div><p>We consider a swelling porous-elastic system with single nonlinear damping and nonlinear delay term in the elastic equation. We establish the general decay result using multiplier method.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134795980","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}
引用次数: 0
A Variation of uncertainty principles for the continuous wavelet transform connected with the Riemann–Liouville operator 与Riemann-Liouville算子相关的连续小波变换不确定性原理的一种变化
IF 1.1
Afrika Matematika Pub Date : 2023-11-10 DOI: 10.1007/s13370-023-01132-x
Khaled Hleili
{"title":"A Variation of uncertainty principles for the continuous wavelet transform connected with the Riemann–Liouville operator","authors":"Khaled Hleili","doi":"10.1007/s13370-023-01132-x","DOIUrl":"10.1007/s13370-023-01132-x","url":null,"abstract":"<div><p>The aim of this paper is to prove a generalization of uncertainty principles for the continuous wavelet transform connected with the Riemann–Liouville operator in <span>(L^p)</span>-norm. More precisely, we establish the Heisenberg–Pauli–Weyl uncertainty principle, Donoho–Stark’s uncertainty principles and local Cowling-Price’s type inequalities. Finally, Pitt’s inequality and Beckner’s uncertainty principle are proved for this transform.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134795972","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}
引用次数: 0
Robust ratio and product based estimators using known auxiliary information through modified maximum likelihood 利用修正极大似然的已知辅助信息的鲁棒比估计和基于乘积的估计
IF 1.1
Afrika Matematika Pub Date : 2023-11-10 DOI: 10.1007/s13370-023-01127-8
Priyanka Chhaparwal, Sanjay Kumar
{"title":"Robust ratio and product based estimators using known auxiliary information through modified maximum likelihood","authors":"Priyanka Chhaparwal,&nbsp;Sanjay Kumar","doi":"10.1007/s13370-023-01127-8","DOIUrl":"10.1007/s13370-023-01127-8","url":null,"abstract":"<div><p>In this paper, we consider the situation where the underlying distribution of the study variable is not normally distributed. Under such situations, we propose ratio and product based estimators for the finite population mean in simple random sampling using known auxiliary information based on order statistics. We obtain the expressions for biases and mean square errors (MSEs) of the proposed estimators, which show that the proposed estimators have less MSEs and biases than other existing estimators. Simulations have been studied under various super-population models. A real life application is also provided. Robustness properties of the proposed estimators have been studied via simulations. Confidence intervals (CIs) show that the proposed estimators have shorter CIs of estimates than those of the existing estimators.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134795973","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}
引用次数: 0
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