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Approximation and inequalities for the factorial function related to the Burnside’s formula 与伯恩塞德公式有关的阶乘函数的近似值和不等式
Cubo (Temuco) Pub Date : 2024-08-08 DOI: 10.56754/0719-0646.2602.317
Xu You
{"title":"Approximation and inequalities for the factorial function related to the Burnside’s formula","authors":"Xu You","doi":"10.56754/0719-0646.2602.317","DOIUrl":"https://doi.org/10.56754/0719-0646.2602.317","url":null,"abstract":"In this paper, we present a continued fraction approximation and some inequalities of the factorial function based on the Burnside's formula. This approximation is fast in comparison with the recently discovered asymptotic series. Finally, some numerical computations are provided for demonstrating the superiority of our approximation over the Burnside's formula and the classical Stirling's series.","PeriodicalId":505448,"journal":{"name":"Cubo (Temuco)","volume":"19 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141925791","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
Lyapunov-type inequalities for higher-order Caputo fractional differential equations with general two-point boundary conditions 具有一般两点边界条件的高阶卡普托分数微分方程的 Lyapunov 型不等式
Cubo (Temuco) Pub Date : 2024-07-11 DOI: 10.56754/0719-0646.2602.259
S. Srivastava, S. Pati, John R. Graef, A. Domoshnitsky, S. Padhi
{"title":"Lyapunov-type inequalities for higher-order Caputo fractional differential equations with general two-point boundary conditions","authors":"S. Srivastava, S. Pati, John R. Graef, A. Domoshnitsky, S. Padhi","doi":"10.56754/0719-0646.2602.259","DOIUrl":"https://doi.org/10.56754/0719-0646.2602.259","url":null,"abstract":"In this paper the authors present three different Lyapunov-type inequalities for a higher-order Caputo fractional differential equation with identical boundary conditions marking the inaugural instance of such an approach in the existing literature. Their findings extend and complement certain prior results in the literature.","PeriodicalId":505448,"journal":{"name":"Cubo (Temuco)","volume":"90 8","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141657636","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
The Levi-Civita connections of Lorentzian manifolds with prescribed optical geometries 具有规定光学几何的洛伦兹流形的 Levi-Civita 连接
Cubo (Temuco) Pub Date : 2024-07-09 DOI: 10.56754/0719-0646.2602.239
D. Alekseevsky, Masoud Ganji, Gerd Schmalz, Andrea Spiro
{"title":"The Levi-Civita connections of Lorentzian manifolds with prescribed optical geometries","authors":"D. Alekseevsky, Masoud Ganji, Gerd Schmalz, Andrea Spiro","doi":"10.56754/0719-0646.2602.239","DOIUrl":"https://doi.org/10.56754/0719-0646.2602.239","url":null,"abstract":"We explicitly derive the Christoffel symbols in terms of adapted frame fields for the Levi-Civita connection of a Lorentzian (n)-manifold ((M, g)), equipped with a prescribed optical geometry of Kähler-Sasaki type. The formulas found in this paper have several important applications, such as determining the geometric invariants of Lorentzian manifolds with prescribed optical geometries or solving curvature constraints.","PeriodicalId":505448,"journal":{"name":"Cubo (Temuco)","volume":"110 42","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141665849","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
Global convergence analysis of Caputo fractional Whittaker method with real world applications 卡普托分数惠特克法的全局收敛分析与实际应用
Cubo (Temuco) Pub Date : 2024-04-11 DOI: 10.56754/0719-0646.2601.167
Sapan Kumar Nayak, P. K. Parida
{"title":"Global convergence analysis of Caputo fractional Whittaker method with real world applications","authors":"Sapan Kumar Nayak, P. K. Parida","doi":"10.56754/0719-0646.2601.167","DOIUrl":"https://doi.org/10.56754/0719-0646.2601.167","url":null,"abstract":"The present article deals with the effect of convexity in the study of the well-known Whittaker iterative method, because an iterative method converges to a unique solution (t^*) of the nonlinear equation (psi(t)=0) faster when the function's convexity is smaller. Indeed, fractional iterative methods are a simple way to learn more about the dynamic properties of iterative methods, i.e., for an initial guess, the sequence generated by the iterative method converges to a fixed point or diverges. Often, for a complex root search of nonlinear equations, the selective real initial guess fails to converge, which can be overcome by the fractional iterative methods. So, we have studied a Caputo fractional double convex acceleration Whittaker's method (CFDCAWM) of order at least ((1+2zeta)) and its global convergence in broad ways. Also, the faster convergent CFDCAWM method provides better results than the existing Caputo fractional Newton method (CFNM), which has ((1+zeta)) order of convergence. Moreover, we have applied both fractional methods to solve the nonlinear equations that arise from different real-life problems.","PeriodicalId":505448,"journal":{"name":"Cubo (Temuco)","volume":"32 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140716242","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
Quarter-symmetric metric connection on a p-Kenmotsu manifold p-Kenmotsu 流形上的四分对称度量连接
Cubo (Temuco) Pub Date : 2024-04-10 DOI: 10.56754/0719-0646.2601.153
Bhawana Chaube, S. K. Chanyal
{"title":"Quarter-symmetric metric connection on a p-Kenmotsu manifold","authors":"Bhawana Chaube, S. K. Chanyal","doi":"10.56754/0719-0646.2601.153","DOIUrl":"https://doi.org/10.56754/0719-0646.2601.153","url":null,"abstract":"In the present paper we study para-Kenmotsu (p-Kenmotsu) manifold equipped with quarter-symmetric metric connection and discuss certain derivation conditions.","PeriodicalId":505448,"journal":{"name":"Cubo (Temuco)","volume":"117 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140717152","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
On a class of evolution problems driven by maximal monotone operators with integral perturbation 关于一类由具有积分扰动的最大单调算子驱动的演化问题
Cubo (Temuco) Pub Date : 2024-04-09 DOI: 10.56754/0719-0646.2601.123
Fatima Fennour, S. Saïdi
{"title":"On a class of evolution problems driven by maximal monotone operators with integral perturbation","authors":"Fatima Fennour, S. Saïdi","doi":"10.56754/0719-0646.2601.123","DOIUrl":"https://doi.org/10.56754/0719-0646.2601.123","url":null,"abstract":"The present paper is dedicated to the study of a first-order differential inclusion driven by time and state-dependent maximal monotone operators with integral perturbation, in the context of Hilbert spaces. Based on a fixed point method, we derive a new existence theorem for this class of differential inclusions. Then, we investigate an optimal control problem subject to such a class, by considering control maps acting in the state of the operators and the integral perturbation.","PeriodicalId":505448,"journal":{"name":"Cubo (Temuco)","volume":"42 16","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140721341","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
On a class of fractional p( x, y)−Kirchhoff type problems with indefinite weight 关于一类具有不确定权重的分数 p( x, y)-Kirchhoff 类型问题
Cubo (Temuco) Pub Date : 2024-04-08 DOI: 10.56754/0719-0646.2601.107
Seyed Mostafa Sajjadi, G. Afrouzi
{"title":"On a class of fractional p( x, y)−Kirchhoff type problems with indefinite weight","authors":"Seyed Mostafa Sajjadi, G. Afrouzi","doi":"10.56754/0719-0646.2601.107","DOIUrl":"https://doi.org/10.56754/0719-0646.2601.107","url":null,"abstract":"This paper is concerned with a class of fractional (p(x,y)-)Kirchhoff type problems with Dirichlet boundary data along with indefinite weight of the following form begin{equation*} leftlbracebegin{array}{ll} Mleft(int_{Q}frac{1}{p(x,y)}frac{|u(x)-u(y)|^{p(x,y)}}{|x-y|^{N+sp(x,y)}},dx,dyright) (-triangle_{p(x)})^s+|u(x)|^{q(x)-2}u(x) & =lambda V(x)|u(x)|^{r(x)-2}u(x)& text{in }Omega, u=0, & text{in }mathbb{R}^NOmega. end{array}right. end{equation*} By means of direct variational approach and Ekeland’s variational principle, we investigate the existence of nontrivial weak solutions for the above problem in case of the competition between the growth rates of functions (p) and (r) involved in above problem, this fact is essential in describing the set of eigenvalues of this problem.","PeriodicalId":505448,"journal":{"name":"Cubo (Temuco)","volume":"100 5","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140728686","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
Curvature properties of α-cosymplectic manifolds with ∗-η-Ricci-Yamabe solitons 具有 ∗-η-Ricci-Yamabe 孤子的 α-cosymplectic 流形的曲率特性
Cubo (Temuco) Pub Date : 2024-04-06 DOI: 10.56754/0719-0646.2601.091
Vandana Vandana, Rajeev Budhiraja, Aliya Naaz Siddiqui Diop
{"title":"Curvature properties of α-cosymplectic manifolds with ∗-η-Ricci-Yamabe solitons","authors":"Vandana Vandana, Rajeev Budhiraja, Aliya Naaz Siddiqui Diop","doi":"10.56754/0719-0646.2601.091","DOIUrl":"https://doi.org/10.56754/0719-0646.2601.091","url":null,"abstract":"In this research article, we study (ast)-(eta)-Ricci-Yamabe solitons on an (alpha)-cosymplectic manifold by giving an example in the support and also prove that it is an (eta)-Einstein manifold. In addition, we investigate an (alpha)-cosymplectic manifold admitting (ast)-(eta)-Ricci-Yamabe solitons under some conditions. Lastly, we discuss the concircular, conformal, conharmonic, and (W_2)-curvatures on the said manifold admitting (ast)-(eta)-Ricci-Yamabe solitons.","PeriodicalId":505448,"journal":{"name":"Cubo (Temuco)","volume":"26 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140734532","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
Families of skew linear harmonic Euler sums involving some parameters 涉及某些参数的偏斜线性谐波欧拉和族
Cubo (Temuco) Pub Date : 2024-04-05 DOI: 10.56754/0719-0646.2601.075
A. Sofo
{"title":"Families of skew linear harmonic Euler sums involving some parameters","authors":"A. Sofo","doi":"10.56754/0719-0646.2601.075","DOIUrl":"https://doi.org/10.56754/0719-0646.2601.075","url":null,"abstract":"In this study we investigate a family of skew linear harmonic Euler sums involving some free parameters. Our analysis involves using the properties of the polylogarithm function, commonly referred to as the Bose-Einstein integral. A reciprocity property is utilized to highlight an explicit representation for a particular skew harmonic linear Euler sum. A number of examples are also given which highlight the theorems. This work generalizes some results in the published literature and introduces some new results.","PeriodicalId":505448,"journal":{"name":"Cubo (Temuco)","volume":"13 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140737139","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
On a class of fractional Γ(.)-Kirchhoff-Schrödinger system type 论一类分数Γ(.)-基尔霍夫-薛定谔系统类型
Cubo (Temuco) Pub Date : 2024-04-04 DOI: 10.56754/0719-0646.2601.053
H. El-Houari, L. S. Chadli, H. Moussa
{"title":"On a class of fractional Γ(.)-Kirchhoff-Schrödinger system type","authors":"H. El-Houari, L. S. Chadli, H. Moussa","doi":"10.56754/0719-0646.2601.053","DOIUrl":"https://doi.org/10.56754/0719-0646.2601.053","url":null,"abstract":"This paper focuses on the investigation of a Kirchhoff-Schrödinger type elliptic system involving a fractional (gamma(.))-Laplacian operator. The primary objective is to establish the existence of weak solutions for this system within the framework of fractional Orlicz-Sobolev Spaces. To achieve this, we employ the critical point approach and direct variational principle, which allow us to demonstrate the existence of such solutions. The utilization of fractional Orlicz-Sobolev spaces is essential for handling the nonlinearity of the problem, making it a powerful tool for the analysis. The results presented herein contribute to a deeper understanding of the behavior of this type of elliptic system and provide a foundation for further research in related areas.","PeriodicalId":505448,"journal":{"name":"Cubo (Temuco)","volume":"5 15","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140744438","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
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