Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science最新文献

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Classifications of THA-surfaces in I^3 I^3 中 THA 曲面的分类
B. Senoussi
{"title":"Classifications of THA-surfaces in I^3","authors":"B. Senoussi","doi":"10.31926/but.mif.2024.4.66.1.12","DOIUrl":"https://doi.org/10.31926/but.mif.2024.4.66.1.12","url":null,"abstract":"In classical differential geometry, the problem of obtaining Gaussian and mean curvatures of a surface is one of the most important problems. A surface M2 in I3 is a THA-surface of first type if it can be parameterized by r(s, t) = (s, t, Af(s + at)g(t) + B(f(s + at) + g(t))). A surface M2 in I3 is a THA- surface of second type if it can be parameterized by r(s, t) = (s, Af(s + at)g(t) + B(f(s + at) + g(t)), t), where A and B are non-zero real numbers [16, 17, 18]. In this paper, we classify two types THA-surfaces in the 3-dimensional isotropic space I3 and study THA-surfaces with zero curvature in I3.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"47 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140975014","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
Pascal's connection and fractions containing successive Padovan numbers in their decimal representation, reading left to right 帕斯卡连线和含有连续帕多瓦数的十进制分数,从左往右读
E. Iseni, S. Rexhepi
{"title":"Pascal's connection and fractions containing successive Padovan numbers in their decimal representation, reading left to right","authors":"E. Iseni, S. Rexhepi","doi":"10.31926/but.mif.2024.4.66.1.8","DOIUrl":"https://doi.org/10.31926/but.mif.2024.4.66.1.8","url":null,"abstract":"In this paper, it is given a generalization of the relation of the repeating decimals which displays the successive terms of the Fibonacci sequence and Pascal’s rows. Additionally, two types of fractions that contain successive terms of the Padovan sequence in their decimal representation are given, by reading from left to right and giving numerical illustrations.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"18 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140976045","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 new subclass of harmonic univalent functions associated with q-calculus 与 q-calculus 相关的谐和不等价函数新子类
S. Porwal, M.K. Singh
{"title":"A new subclass of harmonic univalent functions associated with q-calculus","authors":"S. Porwal, M.K. Singh","doi":"10.31926/but.mif.2024.4.66.1.11","DOIUrl":"https://doi.org/10.31926/but.mif.2024.4.66.1.11","url":null,"abstract":"The purpose of the present paper is to introduce a new subclass of harmonic univalent functions by applying q-calculus. Coefficient inequalities, \u0000extreme points, distortion bounds, covering results, convolution condition and convex combination are determined for this class. Finally, we discuss a class preserving integral operator for this class.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"117 41","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140977917","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
Updated Ostrowski inequalities over a spherical shell 球壳上的最新奥斯特洛夫斯基不等式
George A. Anastassiou
{"title":"Updated Ostrowski inequalities over a spherical shell","authors":"George A. Anastassiou","doi":"10.31926/but.mif.2024.4.66.1.1","DOIUrl":"https://doi.org/10.31926/but.mif.2024.4.66.1.1","url":null,"abstract":"Here we present general multivariate mixed Ostrowski type inequalities over spherical shells and balls. We cover the radial and not necessarily radial cases. The proofs derive by the use of some estimates coming out of some new trigonometric and hyperbolic Taylor’s formulae ([2]) and reducing the multivariate problem to a univariate one via general polar coordinates.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"19 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140972581","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
An optimized Chen first inequality for semi-slant submanifolds in Lorentz Kenmotsu space forms 洛伦兹-肯莫津空间形式中半斜子曲率的优化陈氏第一不等式
Mehraj Ahmad, Prince Majeed
{"title":"An optimized Chen first inequality for semi-slant submanifolds in Lorentz Kenmotsu space forms","authors":"Mehraj Ahmad, Prince Majeed","doi":"10.31926/but.mif.2024.4.66.1.9","DOIUrl":"https://doi.org/10.31926/but.mif.2024.4.66.1.9","url":null,"abstract":"In this paper, we present necessary and sufficient conditions for a Lorentz contact manifold to be a Lorentz Kenmotsu manifold. Moreover, we obtain the optimal Chen first inequality for semi-slant submanifolds in Lorentz Kenmotsu space forms. Furthermore, the equality case of Chen inequality has been discussed.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"7 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140973437","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 para-Sasakian manifold admitting Zamkovoy connection 关于允许 Zamkovoy 连接的准萨斯流形
A. Goyal, S. Jain, M.K. Pandey
{"title":"On para-Sasakian manifold admitting Zamkovoy connection","authors":"A. Goyal, S. Jain, M.K. Pandey","doi":"10.31926/but.mif.2024.4.66.1.6","DOIUrl":"https://doi.org/10.31926/but.mif.2024.4.66.1.6","url":null,"abstract":"The purpose of the present paper is to study some properties of para-Sasakian manifold admitting Zamkovoy connection. We obtain some interesting result on para-Sasakian manifold. It is shown that M-projectively flat para-Sasakian manifold is η-Einstein manifold.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":" 30","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141128309","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 lacunary Δ^m-statistical convergence of triple sequence in intuitionisticfuzzy normed space 论直观模糊规范空间中三重序列的无序Δ^m统计收敛性
T. Jalal, A.H. Jan
{"title":"On lacunary Δ^m-statistical convergence of triple sequence in intuitionisticfuzzy normed space","authors":"T. Jalal, A.H. Jan","doi":"10.31926/but.mif.2024.4.66.1.7","DOIUrl":"https://doi.org/10.31926/but.mif.2024.4.66.1.7","url":null,"abstract":"In this study, we define lacunary Δm-statistical convergence in the framework of intuitionistic fuzzy normed spaces (IFNS) for triple sequences. We prove several results for lacunary Δm-statistical convergence of triple sequence in IFNS. We further established lacunary Δm-statistical Cauchy sequences and provided the Cauchy convergence criterion for this novel idea of convergence.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"61 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140976351","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 the Mersenne and Mersenne-Lucas hybrid quaternions 关于梅森和梅森-卢卡斯混合四元数
∗. Engin¨OZKAN, M. Uysal
{"title":"On the Mersenne and Mersenne-Lucas hybrid quaternions","authors":"∗. Engin¨OZKAN, M. Uysal","doi":"10.31926/but.mif.2024.4.66.1.10","DOIUrl":"https://doi.org/10.31926/but.mif.2024.4.66.1.10","url":null,"abstract":"In this paper, we define Mersenne, Mersenne-Lucas hybrid quaternions. We give the Binet’s formula, the generating functions, exponential generating functions and sum formula of these quaternions. We find some relations between Mersenne-Lucas hybrid quaternions, Jacobsthal hybrid quaternions, Jacobsthal-Lucas hybrid quaternions and Mersenne hybrid quaternions.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"58 18","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140972255","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
Minimal number of sensors for 3D coverage 三维覆盖所需的最少传感器数量
Tatiana Tabirca
{"title":"Minimal number of sensors for 3D coverage","authors":"Tatiana Tabirca","doi":"10.31926/but.mif.2024.4.66.1.15","DOIUrl":"https://doi.org/10.31926/but.mif.2024.4.66.1.15","url":null,"abstract":"This paper presents some theoretical results on the smaller number Nk(a, b, c) of sensors to achieve k coverage for the 3D rectangular area [0, a] × [0, b] × [0, c]. The first properties outline some theoretical results for the numbers Nk(a, b, c), including symmetry, subadditivity, and monotony on each variable. We use then these results to establish some lower and upper bounds for Nk(a, b, c). The main contribution proposes a result concerning the minimal density of sensors to achieve k-coverage.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"55 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140972179","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
Almost η-Ricci solitons on two classes of almost Kenmotsu manifolds 两类近 Kenmotsu 流形上的近η-Ricci 孤子
D. Dey, P. Majhi
{"title":"Almost η-Ricci solitons on two classes of almost Kenmotsu manifolds","authors":"D. Dey, P. Majhi","doi":"10.31926/but.mif.2024.4.66.1.3","DOIUrl":"https://doi.org/10.31926/but.mif.2024.4.66.1.3","url":null,"abstract":"The object of the present paper is to characterize two classes of almost Kenmotsu manifolds admitting almost η-Ricci solitons. In this context, we have shown that in a (k, µ) and (k, µ)' -almost Kenmotsu manifold admitting an almost η-Ricci soliton the curvature conditions (i) the manifold is Einstein, (ii) the manifold is Ricci symmetric (∇S = 0), (iii) the manifold is Ricci semisymmetric (R · S = 0) and (iv) the manifold is projective Ricci semisymmetric (P · S = 0) are equivalent. Also, we have shown that the curvature condition Q · P = 0 in a (k, µ)-almost Kenmotsu manifold admitting an almost η-Ricci soliton holds if and only if the manifold is locally isometric to the hyperbolic space H2n+1(−1) and if a (k, µ)' -almost Kenmotsu manifold admitting an almost η-Ricci soliton satisfies the curvature condition Q · R = 0, then it is locally isometric to the Riemannian product H n+1(−4) × ℝn.\u0000n.","PeriodicalId":505295,"journal":{"name":"Bulletin of the Transilvania University of Brasov. Series III: Mathematics and Computer Science","volume":"57 9","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140972504","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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