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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 Epub Date: 2018-09-24 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":"172 3","pages":"Pages 453-465"},"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 Epub Date: 2018-04-30 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":"172 3","pages":"Pages 559-570"},"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
Numerical computation of charge carriers optical phonon scattering mobility in III–V semiconductor compounds III-V型半导体化合物中载流子光学声子散射迁移率的数值计算
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2018-12-01 Epub Date: 2018-07-31 DOI: 10.1016/j.trmi.2018.06.002
Revaz Kobaidze, Elza Khutsishvili, Nodar Kekelidze
{"title":"Numerical computation of charge carriers optical phonon scattering mobility in III–V semiconductor compounds","authors":"Revaz Kobaidze,&nbsp;Elza Khutsishvili,&nbsp;Nodar Kekelidze","doi":"10.1016/j.trmi.2018.06.002","DOIUrl":"10.1016/j.trmi.2018.06.002","url":null,"abstract":"<div><p>Optical phonon scattering mobility has been calculated using numerical methods, and a general program was developed in Matlab to calculate mobility due to scattering on optical phonons. Calculations were done for InAs material that was irradiated by fast neutrons.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"172 3","pages":"Pages 404-408"},"PeriodicalIF":0.2,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2018.06.002","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42569524","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: 4
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 Epub Date: 2018-09-24 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":"172 3","pages":"Pages 475-479"},"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
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 Epub Date: 2018-09-15 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":"172 3","pages":"Pages 293-298"},"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
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 Epub Date: 2018-03-31 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":"172 3","pages":"Pages 498-509"},"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
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 Epub Date: 2018-07-29 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":"172 3","pages":"Pages 466-474"},"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
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 Epub Date: 2018-08-14 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":"172 3","pages":"Pages 448-452"},"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
On the homogeneity test based on the kernel-type estimators of a distribution density 基于分布密度核估计的均匀性检验
IF 0.2
Transactions of A Razmadze Mathematical Institute Pub Date : 2018-12-01 Epub Date: 2018-08-16 DOI: 10.1016/j.trmi.2018.07.005
Petre Babilua, Elizbar Nadaraya
{"title":"On the homogeneity test based on the kernel-type estimators of a distribution density","authors":"Petre Babilua,&nbsp;Elizbar Nadaraya","doi":"10.1016/j.trmi.2018.07.005","DOIUrl":"https://doi.org/10.1016/j.trmi.2018.07.005","url":null,"abstract":"<div><p>The test of homogeneity is constructed by using kernel-type estimators of a distribution density. The limit power of the constructed test is found for close Pitman-type alternatives. The constructed test is compared with Pearson’s <span><math><mi>X</mi><mi>u</mi></math></span>-square test.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":"172 3","pages":"Pages 318-331"},"PeriodicalIF":0.2,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2018.07.005","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136519693","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
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 Epub Date: 2017-12-12 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":"172 3","pages":"Pages 372-377"},"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
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