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Area, perimeter and cocyclical polygons 面积、周长和共周期多边形
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2021-03-01 DOI: 10.32513/TMJ/1932200812
J. Leger
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引用次数: 0
The transformation of the involute curves using by lifts on $R^{3}$ to tangent space $TR^{3}$ 渐开线曲线在R^{3}$上的升力到切空间TR^{3}$的变换
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2021-03-01 DOI: 10.32513/TMJ/19322008110
Haşim Çayır
{"title":"The transformation of the involute curves using by lifts on\u0000 $R^{3}$ to tangent space $TR^{3}$","authors":"Haşim Çayır","doi":"10.32513/TMJ/19322008110","DOIUrl":"https://doi.org/10.32513/TMJ/19322008110","url":null,"abstract":"","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43583607","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 note on absolute matrix summability of infinite series 无穷级数绝对矩阵可和性的一个新注
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2021-03-01 DOI: 10.32513/TMJ/19322008114
H. Özarslan, A. Karakas
{"title":"A new note on absolute matrix summability of infinite\u0000 series","authors":"H. Özarslan, A. Karakas","doi":"10.32513/TMJ/19322008114","DOIUrl":"https://doi.org/10.32513/TMJ/19322008114","url":null,"abstract":"","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"14 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41450734","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
Coefficient inequalities of analytic functions equipped with conic domains involving $q$-analogue of Noor integral operator 含$q$的二次域解析函数的系数不等式——Noor积分算子的模拟
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2021-03-01 DOI: 10.32513/TMJ/1932200811
K. Noor, Ş. Altınkaya, S. Yalçın
{"title":"Coefficient inequalities of analytic functions equipped with\u0000 conic domains involving $q$-analogue of Noor integral operator","authors":"K. Noor, Ş. Altınkaya, S. Yalçın","doi":"10.32513/TMJ/1932200811","DOIUrl":"https://doi.org/10.32513/TMJ/1932200811","url":null,"abstract":"","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41586530","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
Existence and uniqueness of solutions to anti-periodic Riezs-Caputo impulsive fractional boundary value problems 反周期Riezs-Caputo脉冲分数边值问题解的存在唯一性
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2021-03-01 DOI: 10.32513/TMJ/1932200816
Şuayip Toprakseven
{"title":"Existence and uniqueness of solutions to anti-periodic\u0000 Riezs-Caputo impulsive fractional boundary value problems","authors":"Şuayip Toprakseven","doi":"10.32513/TMJ/1932200816","DOIUrl":"https://doi.org/10.32513/TMJ/1932200816","url":null,"abstract":"","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45716825","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 existence of unique range sets generated by non-critically injective polynomials and related issues 关于非临界内射多项式生成的唯一范围集的存在性及相关问题
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-12-01 DOI: 10.32513/tbilisi/1608606051
S. Mallick
{"title":"On the existence of unique range sets generated by non-critically injective polynomials and related issues","authors":"S. Mallick","doi":"10.32513/tbilisi/1608606051","DOIUrl":"https://doi.org/10.32513/tbilisi/1608606051","url":null,"abstract":"In this paper, we prove the existence of non-critically injective polynomials whose set of zeros form unique range sets that answers one of the most awaited and fundamental questions of uniqueness theory of entire and meromorphic functions. We also show that there exist some unique range sets and their generating polynomials which can not be characterized by any of the existing generalized results of unique range sets but as an application of our main theorems the same can be characterized. Moreover, as an application of our main results we prove that the cardinality of a unique range set does not always depend upon the number of distinct critical points of its generating polynomial.","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"81-101"},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43062663","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
High-order compact difference method for two-dimension elliptic and parabolic equations with mixed derivatives 含混合导数的二维椭圆型和抛物型方程的高阶紧致差分方法
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-12-01 DOI: 10.32513/tbilisi/1608606055
Tingfu Ma, Y. Ge
{"title":"High-order compact difference method for two-dimension elliptic and parabolic equations with mixed derivatives","authors":"Tingfu Ma, Y. Ge","doi":"10.32513/tbilisi/1608606055","DOIUrl":"https://doi.org/10.32513/tbilisi/1608606055","url":null,"abstract":"In this article, firstly, based on Taylor series expansion and truncation error correction technology, combined with the fourth-order Pade schemes of the first-order derivatives, a new fourth-order compact difference (CD) scheme is constructed to solve the two-dimensional (2D) linear elliptic equation a mixed derivative. In this new scheme, unknown function and its first-order derivatives are regarded as the unknown variables in calculation. Then, the method is extended to solve the 2D parabolic equation with a mixed derivative. To match the spatial fourth-order accuracy, The backward differentiation formula (BDF) is employed to gain the fourth-order accuracy for the temporal discretization. Truncation error is analyzed to display that the present scheme is fourth-order accuracy in space. In order to solve the resulting large-scale linear equations, a multigrid method is employed to accelerate the convergence speed of the conventional relaxation methods. Finally, numerical results indicate that the present schemes obtain fourth-order convergence and are more accurate than those in the literature.","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"141-167"},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49473217","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
Decay and blow up at infinite time of solutions for a logarithmic Petrovsky equation 对数Petrovsky方程解的无限时间衰减和爆炸
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-12-01 DOI: 10.32513/tbilisi/1608606053
E. Pişkin, Zeynep Çalişir
{"title":"Decay and blow up at infinite time of solutions for a logarithmic Petrovsky equation","authors":"E. Pişkin, Zeynep Çalişir","doi":"10.32513/tbilisi/1608606053","DOIUrl":"https://doi.org/10.32513/tbilisi/1608606053","url":null,"abstract":"In this work, we consider a logarithmic Petrovsky equation with strong damping with initial and boundary conditions in a bounded domain. Under suitable conditions, we prove decay of solutions. Also, we establish the blow up at infinite time of solutions.","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"113-127"},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42743335","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: 5
Comparison rate of convergence and data dependence for a new iteration method 一种新迭代方法的收敛速度和数据相关性比较
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-12-01 DOI: 10.32513/tbilisi/1608606050
Samet Maldar, Yunus Atalan, Kadri Doğan
{"title":"Comparison rate of convergence and data dependence for a new iteration method","authors":"Samet Maldar, Yunus Atalan, Kadri Doğan","doi":"10.32513/tbilisi/1608606050","DOIUrl":"https://doi.org/10.32513/tbilisi/1608606050","url":null,"abstract":"In this paper, we have defined hyperbolic type of some iteration methods. The new iteration has been investigated convergence for mappings satisfying certain condition in hyperbolic spaces. It has been proved that this iteration is equivalent in terms of convergence with another iteration method in the same spaces. The rate of convergence of these two iteration methods have been compared. We have investigated data dependence result using hyperbolic type iteration. Finally, we have given numerical examples about rate of convergence and data dependence.","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"65-79"},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46796681","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 behavior of two-dimensional difference equations system with two period coefficients 具有两个周期系数的二维差分方程组的全局行为
IF 0.5
Tbilisi Mathematical Journal Pub Date : 2020-12-01 DOI: 10.32513/tbilisi/1608606049
Merve Kara, D. T. Tollu, Y. Yazlik
{"title":"Global behavior of two-dimensional difference equations system with two period coefficients","authors":"Merve Kara, D. T. Tollu, Y. Yazlik","doi":"10.32513/tbilisi/1608606049","DOIUrl":"https://doi.org/10.32513/tbilisi/1608606049","url":null,"abstract":"","PeriodicalId":43977,"journal":{"name":"Tbilisi Mathematical Journal","volume":"13 1","pages":"49-64"},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46666632","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: 4
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