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Subclasses of λ-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves 基于类壳曲线的关于对称点的λ-bi拟星形函数的子类
IF 0.5
Cubo Pub Date : 2021-08-01 DOI: 10.4067/s0719-06462021000200299
H. Güney, G. Murugusundaramoorthy, K. Vijaya
{"title":"Subclasses of λ-bi-pseudo-starlike functions with respect to symmetric points based on shell-like curves","authors":"H. Güney, G. Murugusundaramoorthy, K. Vijaya","doi":"10.4067/s0719-06462021000200299","DOIUrl":"https://doi.org/10.4067/s0719-06462021000200299","url":null,"abstract":"In this paper we define the subclass (mathcal{PSL}^lambda_{s,Sigma}(alpha,tilde{p}(z))) of the class (Sigma) of bi-univalent functions defined in the unit disk, called (lambda)-bi-pseudo-starlike, with respect to symmetric points, related to shell-like curves connected with Fibonacci numbers. We determine the initial Taylor-Maclaurin coefficients (|a_2|) and (|a_3|) for functions (finmathcal{PSL}^lambda_{s,Sigma}(alpha,tilde{p}(z)).) Further we determine the Fekete-Szego result for the function class (mathcal{PSL}^lambda_{s,Sigma}(alpha,tilde{p}(z))) and for the special cases (alpha=0), (alpha=1) and (tau =-0.618) we state corollaries improving the initial Taylor-Maclaurin coefficients (|a_2|) and (|a_3|).","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41780063","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
On the conformally k-th Gauduchon condition and the conformally semi-Kähler condition on almost complex manifolds 关于几乎复流形上的保形k-th Gauduchon条件和保形半kähler条件
IF 0.5
Cubo Pub Date : 2021-08-01 DOI: 10.4067/s0719-06462021000200333
Masaya Kawamura
{"title":"On the conformally k-th Gauduchon condition and the conformally semi-Kähler condition on almost complex manifolds","authors":"Masaya Kawamura","doi":"10.4067/s0719-06462021000200333","DOIUrl":"https://doi.org/10.4067/s0719-06462021000200333","url":null,"abstract":"We introduce the (k)-th Gauduchon condition on almost complex manifolds. We show that if both the conformally (k)-th Gauduchon condition and the conformally semi-Kahler condition are satisfied, then it becomes conformally quasi-Kahler.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44423304","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
Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations 一类非线性序列Hadamard分数阶微分方程多点边值问题的存在性结果
IF 0.5
Cubo Pub Date : 2021-08-01 DOI: 10.4067/s0719-06462021000200225
B. Ahmad, Amjad F. Albideewi, S. Ntouyas, A. Alsaedi
{"title":"Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations","authors":"B. Ahmad, Amjad F. Albideewi, S. Ntouyas, A. Alsaedi","doi":"10.4067/s0719-06462021000200225","DOIUrl":"https://doi.org/10.4067/s0719-06462021000200225","url":null,"abstract":"In this paper, existence and uniqueness results are established for a nonlinear sequential Hadamard fractional differential equation with multi-point boundary conditions, via Banach and Krasnosel'skiǐ's fixed point theorems and Leray-Schauder nonlinear alternative. An example illustrating the existence of a unique solution is also constructed.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43941119","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: 8
The Zamkovoy canonical paracontact connection on a para-Kenmotsu manifold para-Kenmotsu流形上的Zamkovoy正则副接触连接
IF 0.5
Cubo Pub Date : 2021-08-01 DOI: 10.4067/s0719-06462021000200191
D. G. Prakasha, H. Harish, P. Veeresha, Venkatesha
{"title":"The Zamkovoy canonical paracontact connection on a para-Kenmotsu manifold","authors":"D. G. Prakasha, H. Harish, P. Veeresha, Venkatesha","doi":"10.4067/s0719-06462021000200191","DOIUrl":"https://doi.org/10.4067/s0719-06462021000200191","url":null,"abstract":"The object of the paper is to study a type of canonical linear connection, called the Zamkovoy canonical paracontact connection on a para-Kenmotsu manifold.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42967811","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
Energy transfer in open quantum systems weakly coupled with two reservoirs 弱耦合两个储层的开放量子系统的能量传递
IF 0.5
Cubo Pub Date : 2021-01-01 DOI: 10.4067/S0719-06462021000100121
F. Fagnola, D. Poletti, E. Sasso
{"title":"Energy transfer in open quantum systems weakly coupled with two reservoirs","authors":"F. Fagnola, D. Poletti, E. Sasso","doi":"10.4067/S0719-06462021000100121","DOIUrl":"https://doi.org/10.4067/S0719-06462021000100121","url":null,"abstract":"","PeriodicalId":36416,"journal":{"name":"Cubo","volume":"8 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70329709","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
Odd Harmonious Labeling of Some Classes of Graphs 几类图的奇调和标记
IF 0.5
Cubo Pub Date : 2020-12-01 DOI: 10.4067/s0719-06462020000300299
P. Jeyanthi, S. Philo
{"title":"Odd Harmonious Labeling of Some Classes of Graphs","authors":"P. Jeyanthi, S. Philo","doi":"10.4067/s0719-06462020000300299","DOIUrl":"https://doi.org/10.4067/s0719-06462020000300299","url":null,"abstract":"A graph G ( p, q ) is said to be odd harmonious if there exists an injection f : V ( G ) → { 0 , 1 , 2 , · · · , 2 q − 1 } such that the induced function f ∗ : E ( G ) → { 1 , 3 , · · · , 2 q − 1 } defined by f ∗ ( uv ) = f ( u ) + f ( v ) is a bijection. In this paper we prove that T p - tree, T ˆ ◦ P m , T ˆ ◦ 2 P m , regular bamboo tree, C n ˆ ◦ P m , C n ˆ ◦ 2 P m and subdivided grid graphs are odd harmonious.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43204756","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
Topological algebras with subadditive boundedness radius 具有次加性有界半径的拓扑代数
IF 0.5
Cubo Pub Date : 2020-12-01 DOI: 10.4067/s0719-06462020000300289
M. Sabet, R. Sanati
{"title":"Topological algebras with subadditive boundedness radius","authors":"M. Sabet, R. Sanati","doi":"10.4067/s0719-06462020000300289","DOIUrl":"https://doi.org/10.4067/s0719-06462020000300289","url":null,"abstract":"Let (A) be a topological algebra and (beta) a subadditive boundedness radius on (A). In this paper we show that (beta) is, under certain conditions, automatically submultiplicative. Then we apply this fact to prove that the spectrum of any element of (A) is non-empty. Finally, in the case when (A) is a normed algebra, we compare the initial normed topology with the normed topology (tau_{beta}), induced by (beta) on (A), where (beta^{-1} (0)=0).","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45847116","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
Characterization of Upper Detour Monophonic Domination Number 上Detour单调支配数的特征
IF 0.5
Cubo Pub Date : 2020-12-01 DOI: 10.4067/s0719-06462020000300315
M. A. Khayyoom
{"title":"Characterization of Upper Detour Monophonic Domination Number","authors":"M. A. Khayyoom","doi":"10.4067/s0719-06462020000300315","DOIUrl":"https://doi.org/10.4067/s0719-06462020000300315","url":null,"abstract":"This paper introduces the concept of upper detour monophonic domination number of a graph. For a connected graph G with vertex set V ( G ) , a set M ⊆ V ( G ) is called minimal detour monophonic dominating set, if no proper subset of M is a detour monophonic dominating set. The maximum cardinality among all minimal monophonic dominating sets is called upper detour monophonic domination number and is denoted by γ + dm ( G ) . For any two positive integers p and q with 2 ≤ p ≤ q there is a connected graph G with γ m ( G ) = γ dm ( G ) = p and γ + dm ( G ) = q . For any three positive integers p, q, r with 2 < p < q < r , there is a connected graph G with m ( G ) = p , γ dm ( G ) = q and γ + dm ( G ) = r . Let p and q be two positive integers with 2 < p < q such that γ dm ( G ) = p and γ + dm ( G ) = q . Then there is a minimal DMD set whose cardinality lies between p and q . Let p, q and r be any three positive integers with 2 ≤ p ≤ q ≤ r . Then, there exist a connected graph G such that γ dm ( G ) = p, γ + dm ( G ) = q and | V ( G ) | = r . γ + dm ( G ) = q . Entonces existe un conjunto DMD mínimo cuya cardinalidad se encuentra entre p y q . Sean p, q y r tres enteros positivos cualquiera con 2 ≤ p ≤ q ≤ r . Entonces existe un grafo conexo G tal que γ dm ( G ) = p, γ + dm ( G ) = q y | V ( G ) | = r .","PeriodicalId":36416,"journal":{"name":"Cubo","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41927958","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
Curves in low dimensional projective spaces with the lowest ranks 低维投影空间中具有最低阶的曲线
IF 0.5
Cubo Pub Date : 2020-12-01 DOI: 10.4067/s0719-06462020000300379
E. Ballico
{"title":"Curves in low dimensional projective spaces with the lowest ranks","authors":"E. Ballico","doi":"10.4067/s0719-06462020000300379","DOIUrl":"https://doi.org/10.4067/s0719-06462020000300379","url":null,"abstract":"Let X ⊂ P r be an integral and non-degenerate curve. For each q ∈ P r the X -rank r X ( q ) of q is the minimal number of points of X spanning q . A general point of P r has X -rank ⌈ ( r + 1) / 2 ⌉ . For r = 3 (resp. r = 4) we construct many smooth curves such that r X ( q ) ≤ 2 (resp. r X ( q ) ≤ 3) for all q ∈ P r (the best possible upper bound). We also construct nodal curves with the same properties and almost all geometric genera allowed by Castelnuovo’s upper bound for the arithmetic genus. q ∈ P r el -rango X ) q que generan q P r tiene X -rango ⌈ ( r + 1) / 2 ⌉ . Para r = 3 (resp. r = 4) construimos q ) ≤ 2 (resp. r X ( q ) q ∈ P r superior geom´etricos aritm´etico.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70329672","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
Toric, U(2), and LeBrun metrics Toric、U（2）和LeBrun度量
IF 0.5
Cubo Pub Date : 2020-12-01 DOI: 10.4067/s0719-06462020000300395
Brian Weber
{"title":"Toric, U(2), and LeBrun metrics","authors":"Brian Weber","doi":"10.4067/s0719-06462020000300395","DOIUrl":"https://doi.org/10.4067/s0719-06462020000300395","url":null,"abstract":"The LeBrun ansatz was designed for scalar-flat K¨ahler metrics with a continuous symmetry; here we show it is generalizable to much broader classes of metrics with a symmetry. We state the conditions for a metric to be (locally) expressible in LeBrun ansatz form, the conditions under which its natural complex structure is integrable, and the conditions that produce a metric that is K¨ahler, scalar-flat, or extremal K¨ahler. Second, toric K¨ahler metrics (such as the generalized Taub-NUTs) and U (2)-invariant metrics (such as the Fubini-Study or Page metrics) are certainly expressible in the LeBrun ansatz. We give general formulas for such transitions. We close the paper with examples, and find expressions for two examples—the exceptional half-plane metric and the Page metric—in terms of the LeBrun ansatz. segundo lugar, m´etricas t´oricas K¨ahler (tales como las Taub-NUT generalizadas) y m´etricas U (2)-invariantes (tales como la m´etrica de Fubini-Study o la de Page) son ciertamente expresables en el ansatz de LeBrun. Damos f´ormulas generales para tales transiciones. Concluimos el art´ıculo con ejemplos, y encontramos expresiones para dos ejemplos—la m´etrica excep-cional del semiplano y la m´etrica de Page—en t´erminos del ansatz de LeBrun.","PeriodicalId":36416,"journal":{"name":"Cubo","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44966552","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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