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Transactions of A Razmadze Mathematical Institute最新文献

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The method of probabilistic solution for 3D Dirichlet ordinary and generalized harmonic problems in finite domains bounded with one surface 一个曲面有界的有限域中三维Dirichlet常调和和广义调和问题的概率解方法
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2018-12-01 DOI: 10.1016/j.trmi.2018.08.005
Mamuli Zakradze, Badri Mamporia, Murman Kublashvili, Nana Koblishvili
{"title":"The method of probabilistic solution for 3D Dirichlet ordinary and generalized harmonic problems in finite domains bounded with one surface","authors":"Mamuli Zakradze,&nbsp;Badri Mamporia,&nbsp;Murman Kublashvili,&nbsp;Nana Koblishvili","doi":"10.1016/j.trmi.2018.08.005","DOIUrl":"10.1016/j.trmi.2018.08.005","url":null,"abstract":"<div><p>The Dirichlet ordinary and generalized harmonic problems for some 3D finite domains are considered. The term “generalized” indicates that a boundary function has a finite number of first kind discontinuity curves. An algorithm of numerical solution by the method of probabilistic solution (MPS) is given, which in its turn is based on a computer simulation of the Wiener process. Since, in the case of 3D generalized problems there are none exact test problems, therefore, for such problems, the way of testing of our method is suggested. For examining and to illustrate the effectiveness and simplicity of the proposed method five numerical examples are considered on finding the electric field. In the role of domains are taken ellipsoidal, spherical and cylindrical domains and both the potential and strength of the field are calculated. Numerical results are presented.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2018.08.005","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42020961","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Certain fractional kinetic equations involving generalized k-Bessel function 某些涉及广义k-贝塞尔函数的分数阶动力学方程
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2018-12-01 DOI: 10.1016/j.trmi.2018.03.001
Gurmej Singh , Praveen Agarwal , Mehar Chand , Shilpi Jain
{"title":"Certain fractional kinetic equations involving generalized k-Bessel function","authors":"Gurmej Singh ,&nbsp;Praveen Agarwal ,&nbsp;Mehar Chand ,&nbsp;Shilpi Jain","doi":"10.1016/j.trmi.2018.03.001","DOIUrl":"10.1016/j.trmi.2018.03.001","url":null,"abstract":"<div><p>We develop a new and further generalized form of the fractional kinetic equation involving generalized <span><math><mi>k</mi></math></span>-Bessel function. The manifold generality of the generalized <span><math><mi>k</mi></math></span>-Bessel function is discussed in terms of the solution of the fractional kinetic equation in the present paper. The results obtained here are quite general in nature and capable of yielding a very large number of known and (presumably) new results.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2018.03.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45645326","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 9
Comprehensive subclasses of multivalent functions with negative coefficients defined by using a q-difference operator 用q差分算子定义的带负系数的多价函数的综合子类
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2018-12-01 DOI: 10.1016/j.trmi.2018.04.002
A.H. El-Qadeem , M.A. Mamon
{"title":"Comprehensive subclasses of multivalent functions with negative coefficients defined by using a q-difference operator","authors":"A.H. El-Qadeem ,&nbsp;M.A. Mamon","doi":"10.1016/j.trmi.2018.04.002","DOIUrl":"10.1016/j.trmi.2018.04.002","url":null,"abstract":"<div><p>Motivated by q-analogue theory, we define here q-analogue of p-valent Salagean differential operator. Then we introduce a new subclass of starlike and convex functions with negative coefficients, for which we obtain some properties such as coefficient estimates, distortion theorem, radii of starlikeness, convexity and close-to-convexity for functions belonging to these subclasses. Also, we introduce the modified-Hadamard product theorems. Finally, we give an application of the q-fractional calculus.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2018.04.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45374021","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 11
Professor Gvanji Mania (1918–1985) Gvanji Mania教授（1918–1985）
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2018-12-01 DOI: 10.1016/j.trmi.2018.09.001
E. Nadaraya, O. Purtukhia
{"title":"Professor Gvanji Mania (1918–1985)","authors":"E. Nadaraya,&nbsp;O. Purtukhia","doi":"10.1016/j.trmi.2018.09.001","DOIUrl":"10.1016/j.trmi.2018.09.001","url":null,"abstract":"","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2018.09.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45267830","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Linear criteria for hypotheses testing 假设检验的线性准则
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2018-12-01 DOI: 10.1016/j.trmi.2018.07.004
Z. Zerakidze, M. Mumladze
{"title":"Linear criteria for hypotheses testing","authors":"Z. Zerakidze,&nbsp;M. Mumladze","doi":"10.1016/j.trmi.2018.07.004","DOIUrl":"10.1016/j.trmi.2018.07.004","url":null,"abstract":"<div><p>In the present paper we prove necessary and sufficient conditions for the existence of linear consistent criteria.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2018.07.004","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46316102","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Several series identities involving the Catalan numbers 几个涉及加泰罗尼亚数的级数恒等式
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2018-12-01 DOI: 10.1016/j.trmi.2018.07.001
Li Yin , Feng Qi
{"title":"Several series identities involving the Catalan numbers","authors":"Li Yin ,&nbsp;Feng Qi","doi":"10.1016/j.trmi.2018.07.001","DOIUrl":"10.1016/j.trmi.2018.07.001","url":null,"abstract":"<div><p>In the paper, the authors discover several series identities involving the Catalan numbers, the Catalan function, the Riemannian zeta function, and the alternative Hurwitz zeta function.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2018.07.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44377000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
A new collection which contains the topology via ideals 包含拓扑理想的新集合
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2018-12-01 DOI: 10.1016/j.trmi.2017.11.001
Erdal Ekici
{"title":"A new collection which contains the topology via ideals","authors":"Erdal Ekici","doi":"10.1016/j.trmi.2017.11.001","DOIUrl":"10.1016/j.trmi.2017.11.001","url":null,"abstract":"<div><p>In 1999, Dontchev studied the concept of pre-<span><math><mi>I</mi></math></span>-open sets (Dontchev, 1999). In 2002, Hatir and Noiri studied the concept of semi-<span><math><mi>I</mi></math></span>-open sets (Hatir and Noiri, 2002). In 2013, Ekici studied the concept of <span><math><msubsup><mrow><mi>C</mi></mrow><mrow><mi>I</mi></mrow><mrow><mo>∗</mo></mrow></msubsup></math></span>-sets (Ekici, 2013). In this paper, the concept of <span><math><mi>ζ</mi></math></span>-<span><math><mi>I</mi></math></span>-open sets is introduced. The concept of <span><math><mi>ζ</mi></math></span>-<span><math><mi>I</mi></math></span>-open sets is related to topology, pre-<span><math><mi>I</mi></math></span>-open sets, semi-<span><math><mi>I</mi></math></span>-open sets and <span><math><msubsup><mrow><mi>C</mi></mrow><mrow><mi>I</mi></mrow><mrow><mo>∗</mo></mrow></msubsup></math></span>-sets. Main properties of <span><math><mi>ζ</mi></math></span>-<span><math><mi>I</mi></math></span>-open sets are presented.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2017.11.001","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42598060","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Some fixed point results in ordered dualistic partial metric spaces 在有序对偶偏度量空间中存在不动点
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2018-12-01 DOI: 10.1016/j.trmi.2018.01.003
Muhammad Nazam, Muhammad Arshad
{"title":"Some fixed point results in ordered dualistic partial metric spaces","authors":"Muhammad Nazam,&nbsp;Muhammad Arshad","doi":"10.1016/j.trmi.2018.01.003","DOIUrl":"10.1016/j.trmi.2018.01.003","url":null,"abstract":"<div><p>In this paper, we introduce dominating dualistic contractive mappings and dominating weakly dualistic contractive mappings. We use these contractive mappings to establish two new fixed point theorems in an ordered dualistic partial metric space. These results generalize various comparable results existing in the current literature. We give examples to illustrate and to show usefulness of our results among corresponding fixed point theorems established in a partial metric space and a metric space.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2018.01.003","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46579910","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On the optimal stopping with incomplete data 关于不完全数据下的最优停止
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2018-12-01 DOI: 10.1016/j.trmi.2018.07.006
Petre Babilua, Besarion Dochviri, Zaza Khechinashvili
{"title":"On the optimal stopping with incomplete data","authors":"Petre Babilua,&nbsp;Besarion Dochviri,&nbsp;Zaza Khechinashvili","doi":"10.1016/j.trmi.2018.07.006","DOIUrl":"10.1016/j.trmi.2018.07.006","url":null,"abstract":"<div><p>The Kalman–Bucy continuous model of partially observable stochastic processes is considered. The problem of optimal stopping of a stochastic process with incomplete data is reduced to the problem of optimal stopping with complete data. The convergence of payoffs is proved when <span><math><msub><mrow><mi>ε</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>→</mo><mn>0</mn><mo>,</mo><msub><mrow><mi>ε</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>→</mo><mn>0</mn></math></span>, where <span><math><msub><mrow><mi>ε</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo></math></span> and <span><math><msub><mrow><mi>ε</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> are small perturbation parameters of the non observable and observable processes respectively.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2018.07.006","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41803797","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the integral relationship between the early exercise boundary and the value function of the American put option 美式看跌期权早期行权边界与价值函数的整体关系
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2018-12-01 DOI: 10.1016/j.trmi.2018.07.003
Malkhaz Shashiashvili
{"title":"On the integral relationship between the early exercise boundary and the value function of the American put option","authors":"Malkhaz Shashiashvili","doi":"10.1016/j.trmi.2018.07.003","DOIUrl":"10.1016/j.trmi.2018.07.003","url":null,"abstract":"<div><p>We prove in this paper a new integral relationship between the American put option early exercise boundary and its value function in the generalized Black–Scholes model. Based on this relationship we show that it is possible to construct the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-approximation to the unknown early exercise boundary provided that we have at hand any uniform approximation of the American put option value function.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2018.07.003","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48600523","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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