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Annals of the University of Craiova-Mathematics and Computer Science Series最新文献

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On lacunary statistical convergence of sequences in gradual normed linear spaces 渐赋范线性空间中序列的统计收敛性
IF 1
Annals of the University of Craiova-Mathematics and Computer Science Series Pub Date : 2022-06-24 DOI: 10.52846/ami.v49i1.1518
C. Choudhury, S. Debnath
{"title":"On lacunary statistical convergence of sequences in gradual normed linear spaces","authors":"C. Choudhury, S. Debnath","doi":"10.52846/ami.v49i1.1518","DOIUrl":"https://doi.org/10.52846/ami.v49i1.1518","url":null,"abstract":"In this paper, we introduce and investigate the notion of lacunary statistical convergence of sequences in gradual normed linear spaces. We study some of its basic properties and some inclusion relations. In the end, we introduce the notion of lacunary statistical Cauchy sequences and prove that it is equivalent to the notion of lacunary statistical convergence.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84702210","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: 2
Three types of prime filters in strong quasi-ordered residuated system 强拟有序剩余系统中的三种素滤波器
IF 1
Annals of the University of Craiova-Mathematics and Computer Science Series Pub Date : 2022-06-24 DOI: 10.52846/ami.v49i1.1522
D. Romano
{"title":"Three types of prime filters in strong quasi-ordered residuated system","authors":"D. Romano","doi":"10.52846/ami.v49i1.1522","DOIUrl":"https://doi.org/10.52846/ami.v49i1.1522","url":null,"abstract":"The concept of quasi-ordered residuated system was introduced in 2018 by Bonzio and Chajda. The author introduced and analyzed the concept of filters as well as some types of filters in such an algebraic system. Additionally, the author also dealt with a strong quasi-ordered residuated system in which he determined prime and irreducible filters. In this paper, the author introduce three types of prime filters in a strong quasi-ordered residuated system and analyze their interconnections.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83165709","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: 2
Viability for functional differential inclusions without convexity 无凸性的功能性差异包体的生存能力
IF 1
Annals of the University of Craiova-Mathematics and Computer Science Series Pub Date : 2022-06-24 DOI: 10.52846/ami.v49i1.1516
M. Aitalioubrahim
{"title":"Viability for functional differential inclusions without convexity","authors":"M. Aitalioubrahim","doi":"10.52846/ami.v49i1.1516","DOIUrl":"https://doi.org/10.52846/ami.v49i1.1516","url":null,"abstract":"The aim of this paper is to prove the existence result of viable solutions for the differential inclusion x ̇(t)ϵF(t,T(t)x) where F is a set-valued map with closed graph. We consider the case when the constraint is moving.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88516854","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
Kronecker product approximation for the total variation regularization in image restoration 图像恢复中全变分正则化的Kronecker积近似
IF 1
Annals of the University of Craiova-Mathematics and Computer Science Series Pub Date : 2022-06-24 DOI: 10.52846/ami.v49i1.1511
A. Bentbib, A. Bouhamidi, K. Kreit
{"title":"Kronecker product approximation for the total variation regularization in image restoration","authors":"A. Bentbib, A. Bouhamidi, K. Kreit","doi":"10.52846/ami.v49i1.1511","DOIUrl":"https://doi.org/10.52846/ami.v49i1.1511","url":null,"abstract":"In this paper, we propose a new algorithm to restore blurred and noisy images based on the total variation regularization, where the discrete associated Euler-Lagrange problem is solved by exploiting the structure of the matrices and transforming the initial problem to a generalized Sylvester linear matrix equation by using a special Kronecker product approximation. Afterwards, global Krylov subspace methods are used to solve the linear matrix equation. Numerical experiments are given to illustrate the effectiveness of the proposed method.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89777572","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
Some results on statistically convergent triple sequences in an uncertainty space 不确定空间中统计收敛三重序列的一些结果
IF 1
Annals of the University of Craiova-Mathematics and Computer Science Series Pub Date : 2022-06-24 DOI: 10.52846/ami.v49i1.1520
Birojit Das, B. Tripathy, P. Debnath
{"title":"Some results on statistically convergent triple sequences in an uncertainty space","authors":"Birojit Das, B. Tripathy, P. Debnath","doi":"10.52846/ami.v49i1.1520","DOIUrl":"https://doi.org/10.52846/ami.v49i1.1520","url":null,"abstract":"The concept of statistical convergence plays a very prominent role in the study of sequence spaces. In this treatise, we extend the research on different types of statistical convergence viz., statistical convergence in mean, in measure, in distribution, in almost surely and with respect to uniformly almost surely of complex uncertain triple sequences in a given uncertainty space. We emphasize to focus on characterizing statistical convergence of complex uncertain triple sequence in some extent. Moreover, we initiate the notion of complex uncertain Cauchy triple sequence and establish the interconnection of it with a statistically convergent triple sequence.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82649487","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: 1
Insensitizing controls for linear ODE's 线性ODE的不敏感控制
IF 1
Annals of the University of Craiova-Mathematics and Computer Science Series Pub Date : 2022-06-24 DOI: 10.52846/ami.v49i1.1636
M. López-García, Alberto Pena-García, Luz de Teresa
{"title":"Insensitizing controls for linear ODE's","authors":"M. López-García, Alberto Pena-García, Luz de Teresa","doi":"10.52846/ami.v49i1.1636","DOIUrl":"https://doi.org/10.52846/ami.v49i1.1636","url":null,"abstract":"In this paper we present some results regarding insensitizing controls for finite dimensional systems. The concept was introduced by J. L. Lions in the context of partial differential equations and, as far as we know, is a problem that has not been treated in literature for ordinary differential equations. The concept in this situation arises in a natural way when treating the semidiscrete one for the heat equation. We present some results in the linear framework.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74245863","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
New results on topological effect algebras 拓扑效应代数的新结果
IF 1
Annals of the University of Craiova-Mathematics and Computer Science Series Pub Date : 2022-06-24 DOI: 10.52846/ami.v49i1.1482
S. Saidi Goraghani, R. Borzooei
{"title":"New results on topological effect algebras","authors":"S. Saidi Goraghani, R. Borzooei","doi":"10.52846/ami.v49i1.1482","DOIUrl":"https://doi.org/10.52846/ami.v49i1.1482","url":null,"abstract":"In this paper, by considering the notion of effect algebra and by using of a new ideal in an effect algebra E, we construct a topology τ on E, and we show that (E,τ) is a topological effect algebra. Then we obtain some conditions under which that (E,τ) is a Hausdorff space. Also, we obtain some results about connected components of this topological space, and we construct a quotient topological effect algebra.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87900931","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
Development and simulation of a mathematical model to simulate the phase transmissibility ofCOVID19 in Morocco 开发和模拟摩洛哥covid - 19阶段传播的数学模型
IF 1
Annals of the University of Craiova-Mathematics and Computer Science Series Pub Date : 2022-06-24 DOI: 10.52846/ami.v49i1.1489
H. Alaa, Eddine Alaa Alaa, F. Aqel
{"title":"Development and simulation of a mathematical model to simulate the phase transmissibility ofCOVID19 in Morocco","authors":"H. Alaa, Eddine Alaa Alaa, F. Aqel","doi":"10.52846/ami.v49i1.1489","DOIUrl":"https://doi.org/10.52846/ami.v49i1.1489","url":null,"abstract":"In this work we develop a new Reservoir-People (RP) transmission network model to simulate the potential transmission of the COVID-19 virus in the population of Morocco. Our model is original in the sense that it contains parameters that depend on the confinement phases that Morocco has adopted so far. After developing the mathematical model COVID-19-Morocco we define a cost function to minimize with respect to the parameters. We then use genetic algorithms to optimize this functional. The numerical results we obtain confirm that our model is robust and can predict the evolution of the virus in Morocco.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79506488","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
Superstability of higher-order fractional differential equations 高阶分数阶微分方程的超稳定性
IF 1
Annals of the University of Craiova-Mathematics and Computer Science Series Pub Date : 2022-06-24 DOI: 10.52846/ami.v49i1.1419
Bennis Abdellatif
{"title":"Superstability of higher-order fractional differential equations","authors":"Bennis Abdellatif","doi":"10.52846/ami.v49i1.1419","DOIUrl":"https://doi.org/10.52846/ami.v49i1.1419","url":null,"abstract":"Using generalized Taylor's formula, this work investigate the superstability for a class of fractional differential equations with Caputo derivative. In this way, some interesting results are generalized.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74342244","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 certain class of statistical convergence of martingale sequences and its applications to Korovkin-type approximation 一类鞅序列的统计收敛性及其在korovkin逼近中的应用
IF 1
Annals of the University of Craiova-Mathematics and Computer Science Series Pub Date : 2022-06-24 DOI: 10.52846/ami.v49i1.1523
B. Jena, S. K. Paikray
{"title":"A certain class of statistical convergence of martingale sequences and its applications to Korovkin-type approximation","authors":"B. Jena, S. K. Paikray","doi":"10.52846/ami.v49i1.1523","DOIUrl":"https://doi.org/10.52846/ami.v49i1.1523","url":null,"abstract":"In this paper, we investigate and study the notions of statistical product convergence and statistical product summability via deferred Cesàro and deferred Nörlund product means for martingale sequences of random variables. We then establish an inclusion theorem concerning the relation between these two beautiful and definitively useful concepts. Also, based upon our proposed ideas, we demonstrate new thoughtful approximation of Korovkin-type theorems for a martingale sequence over a Banach space. Moreover, we establish that our theorems effectively extend and improve most (if not all) of the previously existing outcomes (in statistical and classical versions). Finally, by using the generalized Bernstein polynomials, we present an illustrative example of a martingale sequence in order to demonstrate that our established theorems are quite stronger than the traditional and statistical versions of different theorems existing in the literature.","PeriodicalId":43654,"journal":{"name":"Annals of the University of Craiova-Mathematics and Computer Science Series","volume":null,"pages":null},"PeriodicalIF":1.0,"publicationDate":"2022-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87217986","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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