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An extension of the operator Kantorovich inequality 算子Kantorovich不等式的推广
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-12-01 DOI: 10.32513/tbilisi/1608606057
Y. Khatib, M. Hassani, M. Amyari
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引用次数: 0
On generalized Pentanacci quaternions 关于广义Pentanacci四元数
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-12-01 DOI: 10.32513/tbilisi/1608606056
Y. Soykan, Nejla Özmen, Melih Göcen
{"title":"On generalized Pentanacci quaternions","authors":"Y. Soykan, Nejla Özmen, Melih Göcen","doi":"10.32513/tbilisi/1608606056","DOIUrl":"https://doi.org/10.32513/tbilisi/1608606056","url":null,"abstract":"In this paper, we introduce the generalized Pentanacci quaternions and we present Binet's formulas, generating functions and the summation formulas for these quaternions and as special case for Pentanacci and Pentanacci-Lucas quaternions. Furthermore, we present matrices related to generalized Pentanacci quaternions.","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"169-181"},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47877795","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
On $B^*$-clopen continuity, oscillation and convergence 关于$B^*$-开连续性、振荡性和收敛性
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-12-01 DOI: 10.32513/tbilisi/1608606054
P. Jain, C. Basu, V. Panwar
{"title":"On $B^*$-clopen continuity, oscillation and convergence","authors":"P. Jain, C. Basu, V. Panwar","doi":"10.32513/tbilisi/1608606054","DOIUrl":"https://doi.org/10.32513/tbilisi/1608606054","url":null,"abstract":"In this paper a new generalization of $B^*$-continuity has been defined, to be called as $B^*$-clopen continuity and many of its properties have been studied including the convergence behaviour of sequences of such functions. Also a new type of oscillation function, called cl-oscillation has been defined, which characterizes the $B^*$-clopen continuity.","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","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":"45751510","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
A note on integer powers of a companion matrix and applications 伴矩阵的整数幂及其应用
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-12-01 DOI: 10.32513/tbilisi/1608606052
D. Caratelli, P. Ricci
{"title":"A note on integer powers of a companion matrix and applications","authors":"D. Caratelli, P. Ricci","doi":"10.32513/tbilisi/1608606052","DOIUrl":"https://doi.org/10.32513/tbilisi/1608606052","url":null,"abstract":"","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43334040","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
Hyers-Ulam stability quintic functional equation in F-spaces: direct method F空间中的Hyers-Ulam稳定性五次函数方程：直接法
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-12-01 DOI: 10.32513/tbilisi/1608606046
A. Raj, S. Pinelas, P. DivyaKumari
{"title":"Hyers-Ulam stability quintic functional equation in F-spaces: direct method","authors":"A. Raj, S. Pinelas, P. DivyaKumari","doi":"10.32513/tbilisi/1608606046","DOIUrl":"https://doi.org/10.32513/tbilisi/1608606046","url":null,"abstract":"","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"13-21"},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43025101","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
Certain subclass of meromorphic functions involving generalized differential operator 涉及广义微分算子的亚纯函数的某些子类
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-12-01 DOI: 10.32513/tbilisi/1608606045
B. Venkateswarlu, P. Reddy, N. Rani
{"title":"Certain subclass of meromorphic functions involving generalized differential operator","authors":"B. Venkateswarlu, P. Reddy, N. Rani","doi":"10.32513/tbilisi/1608606045","DOIUrl":"https://doi.org/10.32513/tbilisi/1608606045","url":null,"abstract":"In this paper we introduce and study a new subclass of meromorphically uniformly convex functions with positive coefficients defined by a differential operator and obtain coefficient estimates, growth and distortion theorem, radius of convexity,integral transforms, convex linear combinations, convolution properties and $delta$-neighborhoods for the class $Sigma_{p}(alpha , beta )$.","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"1-11"},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43610564","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
Existence of solutions for infinite systems of regular fractional Sturm-Liouville problems in the spaces of tempered sequences 正则分数Sturm-Liouville问题无穷系统在缓变序列空间中解的存在性
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-12-01 DOI: 10.32513/tbilisi/1608606058
K. R. Prasad, M. Khuddush, D. Leela
{"title":"Existence of solutions for infinite systems of regular fractional Sturm-Liouville problems in the spaces of tempered sequences","authors":"K. R. Prasad, M. Khuddush, D. Leela","doi":"10.32513/tbilisi/1608606058","DOIUrl":"https://doi.org/10.32513/tbilisi/1608606058","url":null,"abstract":"","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"193-209"},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48317875","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
Lopsided modified Euler-extrapolated Hermitian and skew-Hermitian splitting method for a class of complex symmetric linear systems 一类复对称线性系统的不平衡修正欧拉外推厄米和斜厄米分裂方法
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-12-01 DOI: 10.32513/tbilisi/1608606059
Xianwen Xie, Hou-biao Li
{"title":"Lopsided modified Euler-extrapolated Hermitian and skew-Hermitian splitting method for a class of complex symmetric linear systems","authors":"Xianwen Xie, Hou-biao Li","doi":"10.32513/tbilisi/1608606059","DOIUrl":"https://doi.org/10.32513/tbilisi/1608606059","url":null,"abstract":"In this paper, a lopsided modified Euler-extrapolated Hermitian and skew-Hermitian splitting (LME-HS) iteration method is introduced for solving the complex symmetric linear systems. Under a loose restriction on parameter $theta$, we demonstrate that LME-HS iteration method is convergent. Moreover, we present the optimal parameter ${theta}^{*}$ of the LME-HS method and discuss the spectral properties of corresponding preconditioned matrix. Finally, the numerical experiments are used to verify the effectiveness of the proposed method.","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"211-221"},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43989060","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
Generalized multivalued integral type contraction on weak partial metric space 弱部分度量空间上的广义多值积分型收缩
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-09-01 DOI: 10.32513/tbilisi/1601344904
Öztürk zlem Acar, Sümeyye Coşkun
{"title":"Generalized multivalued integral type contraction on weak partial metric space","authors":"Öztürk zlem Acar, Sümeyye Coşkun","doi":"10.32513/tbilisi/1601344904","DOIUrl":"https://doi.org/10.32513/tbilisi/1601344904","url":null,"abstract":"","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"145-151"},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49378625","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
Smarandache curves according to the Sabban frame belonging to spherical indicatrix curve of the Salkowski curve 根据Sabban框架的Smarandache曲线属于Salkowski曲线的球形指标曲线
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-09-01 DOI: 10.32513/tbilisi/1601344902
S. Şenyurt, Burak Öztürk
{"title":"Smarandache curves according to the Sabban frame belonging to spherical indicatrix curve of the Salkowski curve","authors":"S. Şenyurt, Burak Öztürk","doi":"10.32513/tbilisi/1601344902","DOIUrl":"https://doi.org/10.32513/tbilisi/1601344902","url":null,"abstract":"","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"111-131"},"PeriodicalIF":0.5,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43453729","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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