Pub Date : 2023-05-03DOI: 10.18273/revint.v41n1-2023003
Julio César Jaramillo-Quiceno
In this paper we introduce the differential and integral calculus from q - Lorentzian algebra. We establish the q -spinorial variables , the q - differential calculusand the q - complex spinorial integrals. We also define the q - spinor differentialequation and the q - Lorentzian spinor differential equation. Some comments arepresented at the end of the paper.
{"title":"An Introduction to Spinor Differential and Integral Calculus from q− Lorentzian Algebra","authors":"Julio César Jaramillo-Quiceno","doi":"10.18273/revint.v41n1-2023003","DOIUrl":"https://doi.org/10.18273/revint.v41n1-2023003","url":null,"abstract":"In this paper we introduce the differential and integral calculus from q - Lorentzian algebra. We establish the q -spinorial variables , the q - differential calculusand the q - complex spinorial integrals. We also define the q - spinor differentialequation and the q - Lorentzian spinor differential equation. Some comments arepresented at the end of the paper.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116725227","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}
Pub Date : 2023-03-01DOI: 10.18273/revint.v41n1-2023001
Juan Manuel Ramírez-Contreras, D. Villa-Hernández, Cristhian Vázquez-Rosas
The main objective of this paper is to determine the local and global Zeta function of B(C_{p^3}) the Burnside ring for cyclic groups of order p^3 and to study some relations that fulfill this Zeta function.
{"title":"Zeta function of the Burnside ring for Cp3","authors":"Juan Manuel Ramírez-Contreras, D. Villa-Hernández, Cristhian Vázquez-Rosas","doi":"10.18273/revint.v41n1-2023001","DOIUrl":"https://doi.org/10.18273/revint.v41n1-2023001","url":null,"abstract":"The main objective of this paper is to determine the local and global Zeta function of B(C_{p^3}) the Burnside ring for cyclic groups of order p^3 and to study some relations that fulfill this Zeta function.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"80 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129552074","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}
Pub Date : 2023-02-20DOI: 10.18273/revint.v41n1-2023002
Jhoan Sebastian Báez, L. S. San Martin
We use the underlying structure of then coadjoint orbits of a semidirect product of a connected Lie group and a vector space to obtain families of Lagrangian submanifolds in the adjoint orbits of complex semisimple Lie groups with respect to the symplectic hermitian form. This construction is a generalization of a type of semi-direct orbit previously studied by the authors.
{"title":"Coadjoint semi-direct orbits and Lagrangian families with respect to Hermitian form","authors":"Jhoan Sebastian Báez, L. S. San Martin","doi":"10.18273/revint.v41n1-2023002","DOIUrl":"https://doi.org/10.18273/revint.v41n1-2023002","url":null,"abstract":"We use the underlying structure of then coadjoint orbits of a semidirect product of a connected Lie group and a vector space to obtain families of Lagrangian submanifolds in the adjoint orbits of complex semisimple Lie groups with respect to the symplectic hermitian form. This construction is a generalization of a type of semi-direct orbit previously studied by the authors.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"88 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123657261","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}
Pub Date : 2022-12-09DOI: 10.18273/revint.v40n2-2022004
S. Dragomir
In this paper we prove among others that, if the positive definite matrices A, B of order n satisfy the condition 0 < mIn ≤ B − A ≤ M In, for some constants 0 < m < M, where In is the identity matrix, then 0 ≤ (1 − t) [det (A)]−1 + t [det (A + mIn)]−1 − [det (A + mtIn)]−1 ≤ (1 − t) [det (A)]−1 + t [det (B)]−1 − [det ((1 − t) A + tB)]−1 ≤ (1 − t) [det (A)]−1 + t [det (A + M In)]−1 − [det (A + M tIn)]−1 , for all t ∈ [0, 1]
{"title":"Determinant Inequalities for Positive Definite Matrices Via Additive and Multiplicative Young Inequalities","authors":"S. Dragomir","doi":"10.18273/revint.v40n2-2022004","DOIUrl":"https://doi.org/10.18273/revint.v40n2-2022004","url":null,"abstract":"In this paper we prove among others that, if the positive definite matrices A, B of order n satisfy the condition 0 < mIn ≤ B − A ≤ M In, for some constants 0 < m < M, where In is the identity matrix, then 0 ≤ (1 − t) [det (A)]−1 + t [det (A + mIn)]−1 − [det (A + mtIn)]−1 ≤ (1 − t) [det (A)]−1 + t [det (B)]−1 − [det ((1 − t) A + tB)]−1 ≤ (1 − t) [det (A)]−1 + t [det (A + M In)]−1 − [det (A + M tIn)]−1 , for all t ∈ [0, 1]","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114876011","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}
Pub Date : 2022-09-20DOI: 10.18273/revint.v40n2-2022002
Gerardo Hernández-Valdez, David Herrera-Carrasco, Fernando Macías-Romero, M. López
Let n, m ∈ N with m ≤ n and X be a metric continuum. We consider the hyperspaces Cn(X) (respectively, Fn(X)) of all nonempty closed subsets of X with at most n components (respectively, n points). The (n, m)−fold hyperspace suspension on X was introduced in 2018 by Anaya, Maya, and Vázquez-Juárez, to be the quotient space Cn(X)/Fm(X) which is obtained from Cn(X) by identifying Fm(X) into a one-point set. In this paper we prove that Cn(X)/Fm(X) contains an n−cell; Cn(X)/Fm(X) has property (b); Cn(X)/Fm(X) is unicoherent; Cn(X)/Fm(X) is colocally connected; Cn(X)/Fm(X) is aposyndetic; and Cn(X)/Fm(X) is finitely aposyndetic.
{"title":"Properties of the (n, m)−fold hyperspace suspension of continua","authors":"Gerardo Hernández-Valdez, David Herrera-Carrasco, Fernando Macías-Romero, M. López","doi":"10.18273/revint.v40n2-2022002","DOIUrl":"https://doi.org/10.18273/revint.v40n2-2022002","url":null,"abstract":"Let n, m ∈ N with m ≤ n and X be a metric continuum. We consider the hyperspaces Cn(X) (respectively, Fn(X)) of all nonempty closed subsets of X with at most n components (respectively, n points). The (n, m)−fold hyperspace suspension on X was introduced in 2018 by Anaya, Maya, and Vázquez-Juárez, to be the quotient space Cn(X)/Fm(X) which is obtained from Cn(X) by identifying Fm(X) into a one-point set. In this paper we prove that Cn(X)/Fm(X) contains an n−cell; Cn(X)/Fm(X) has property (b); Cn(X)/Fm(X) is unicoherent; Cn(X)/Fm(X) is colocally connected; Cn(X)/Fm(X) is aposyndetic; and Cn(X)/Fm(X) is finitely aposyndetic.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"236 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123063736","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}
Pub Date : 2022-08-04DOI: 10.18273/revint.v40n2-2022001
S. Macías
This is a survey paper on dendroids, smooth dendroids, and mainly on pointwise smooth dendroids based on the work of J. J. Charatonik and C. Eberhart (dendroids and smooth dendroids) and S. T. Czuba (pointwise smooth dendroids). We present several characterizations of pointwise smooth dendroids, including one using the strict point T-asymmetry property, defined by D. P. Bellamy.
本文是在J. J. Charatonik和C. Eberhart(树突和光滑树突)和S. T. Czuba(点光滑树突)研究的基础上，对树突和光滑树突，主要是对点光滑树突进行综述。我们给出了点光滑树突的几个特征，包括一个使用严格点t -不对称性质的特征，由d.p. Bellamy定义。
{"title":"On Pointwise Smooth Dendroids","authors":"S. Macías","doi":"10.18273/revint.v40n2-2022001","DOIUrl":"https://doi.org/10.18273/revint.v40n2-2022001","url":null,"abstract":"This is a survey paper on dendroids, smooth dendroids, and mainly on pointwise smooth dendroids based on the work of J. J. Charatonik and C. Eberhart (dendroids and smooth dendroids) and S. T. Czuba (pointwise smooth dendroids). We present several characterizations of pointwise smooth dendroids, including one using the strict point T-asymmetry property, defined by D. P. Bellamy.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132403060","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}
Pub Date : 2022-03-01DOI: 10.18273/revint.v40n1-2022006
S. Dragomir
In this paper we establish an identity of Fink type for approximating the integral of analytic complex functions on paths from general domains. Error bounds for these expansions in terms of p-norms are also provided. Examples for the complex logarithm and the complex exponential are given as well.
{"title":"An identity of Fink type for the integral of analytic complex functions on paths from general domains","authors":"S. Dragomir","doi":"10.18273/revint.v40n1-2022006","DOIUrl":"https://doi.org/10.18273/revint.v40n1-2022006","url":null,"abstract":"In this paper we establish an identity of Fink type for approximating the integral of analytic complex functions on paths from general domains. Error bounds for these expansions in terms of p-norms are also provided. Examples for the complex logarithm and the complex exponential are given as well.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123750063","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}
Pub Date : 2022-03-01DOI: 10.18273/revint.v40n1-2022003
Ruth Milena Cortés
This paper shows a thermoelastic system defined in Ω ×R+, Ω ⊂ Rn, n ≥ 2 with heat conduction given by Cattaneo’s law. By introducing a linear dissipation mechanism on a part of the boundary, we obtain the well-posedness of the system and the polynomial decay of the energy in the solution.
{"title":"Polynomial stability of a thermoelastic system with linear boundary dissipation and second sound","authors":"Ruth Milena Cortés","doi":"10.18273/revint.v40n1-2022003","DOIUrl":"https://doi.org/10.18273/revint.v40n1-2022003","url":null,"abstract":"This paper shows a thermoelastic system defined in Ω ×R+, Ω ⊂ Rn, n ≥ 2 with heat conduction given by Cattaneo’s law. By introducing a linear dissipation mechanism on a part of the boundary, we obtain the well-posedness of the system and the polynomial decay of the energy in the solution.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120944710","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}
Pub Date : 2022-03-01DOI: 10.18273/revint.v40n1-2022007
G. Anastassiou
Using generalized Caputo fractional left and right vectorial Taylor formulae, we establish mixed fractional Ostrowski and Grüss type inequalities involving several Banach algebra valued functions. The estimates are with respect to all norms ∥·∥p, 1 ≤p ≤∞.
{"title":"Generalized Fractional Ostrowski and Grüss type inequalities involving several Banach algebra valued function","authors":"G. Anastassiou","doi":"10.18273/revint.v40n1-2022007","DOIUrl":"https://doi.org/10.18273/revint.v40n1-2022007","url":null,"abstract":"Using generalized Caputo fractional left and right vectorial Taylor formulae, we establish mixed fractional Ostrowski and Grüss type inequalities involving several Banach algebra valued functions. The estimates are with respect to all norms ∥·∥p, 1 ≤p ≤∞.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127594705","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}
Pub Date : 2022-03-01DOI: 10.18273/revint.v40n1-2022005
G. Salgado
The aim of this work is to completely describe two families of Lie algebras whose Lie groups have negative sectional curvature. The first family consists of Lie algebras satisfying the following property: given any two vectors in the Lie algebra, the linear subspace spanned by them is a Lie subalgebra. On the other hand, the second family consists of reduced Lie algebras of Iwasawa type.
{"title":"Lie algebras whose Lie groups have negative sectional curvature","authors":"G. Salgado","doi":"10.18273/revint.v40n1-2022005","DOIUrl":"https://doi.org/10.18273/revint.v40n1-2022005","url":null,"abstract":"The aim of this work is to completely describe two families of Lie algebras whose Lie groups have negative sectional curvature. The first family consists of Lie algebras satisfying the following property: given any two vectors in the Lie algebra, the linear subspace spanned by them is a Lie subalgebra. On the other hand, the second family consists of reduced Lie algebras of Iwasawa type.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115838310","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}
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