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Generalization of the notions of a numerical series and infinite product 数值级数和无穷积概念的推广
Mathematics in Modern Technical University Pub Date : 2018-12-03 DOI: 10.20535/mmtu-2018.1-055
Viktor Yuskovych
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引用次数: 0
On different types of uniform convergence of functional series 关于函数级数的不同类型的一致收敛
Mathematics in Modern Technical University Pub Date : 2018-12-03 DOI: 10.20535/mmtu-2018.1-101
V. Haidey, L. B. Fedorova
{"title":"On different types of uniform convergence of functional series","authors":"V. Haidey, L. B. Fedorova","doi":"10.20535/mmtu-2018.1-101","DOIUrl":"https://doi.org/10.20535/mmtu-2018.1-101","url":null,"abstract":"","PeriodicalId":134977,"journal":{"name":"Mathematics in Modern Technical University","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127564730","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
Cauchy problem for the heat equation with Laplacian with respect to a measure 关于一个测度的拉普拉斯热方程的柯西问题
Mathematics in Modern Technical University Pub Date : 2018-12-03 DOI: 10.20535/mmtu-2018.1-047
D. Yakymets
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引用次数: 0
Some comments on the paper "O jednom O-inverznom stavu" by Vojislav G. Avakumović 对Vojislav G. avakumovovic论文“O jednom O-inverznom stavu”的几点评论
Mathematics in Modern Technical University Pub Date : 2018-12-03 DOI: 10.20535/mmtu-2018.1-005
O. Klesov, J. Steinebach
{"title":"Some comments on the paper \"O jednom O-inverznom stavu\" by Vojislav G. Avakumović","authors":"O. Klesov, J. Steinebach","doi":"10.20535/mmtu-2018.1-005","DOIUrl":"https://doi.org/10.20535/mmtu-2018.1-005","url":null,"abstract":"Some comments concerning the origin of the (R–O) notion for real functions are given, which has been used in the paper above, but was first introduced by Avakumović (1935). Moreover, some later extensions and generalizations of such functions are briefly discussed.","PeriodicalId":134977,"journal":{"name":"Mathematics in Modern Technical University","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114436160","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
Approximation of analytic functions by linear methods of summation of Taylor series 用泰勒级数求和的线性方法逼近解析函数
Mathematics in Modern Technical University Pub Date : 2018-12-03 DOI: 10.20535/mmtu-2018.1-033
Mykola A. Veremii, M. V. Haevskyi, P. Zaderei
{"title":"Approximation of analytic functions by linear methods of summation of Taylor series","authors":"Mykola A. Veremii, M. V. Haevskyi, P. Zaderei","doi":"10.20535/mmtu-2018.1-033","DOIUrl":"https://doi.org/10.20535/mmtu-2018.1-033","url":null,"abstract":"","PeriodicalId":134977,"journal":{"name":"Mathematics in Modern Technical University","volume":"81 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126986882","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
Scientific heritage of Ukrainian mathematician V. K. Dzyadyk (to the centennial of the birth) 乌克兰数学家v·k·季亚季克的科学遗产(纪念他诞辰100周年)
Mathematics in Modern Technical University Pub Date : 2018-12-03 DOI: 10.20535/mmtu-2018.1-117
P. Zaderei, N. Zaderei, G. Nefodova
{"title":"Scientific heritage of Ukrainian mathematician V. K. Dzyadyk (to the centennial of the birth)","authors":"P. Zaderei, N. Zaderei, G. Nefodova","doi":"10.20535/mmtu-2018.1-117","DOIUrl":"https://doi.org/10.20535/mmtu-2018.1-117","url":null,"abstract":"","PeriodicalId":134977,"journal":{"name":"Mathematics in Modern Technical University","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128205876","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
Dirichlet problem in a ball for Laplace’s equation with Laplacian with respect to a measure 球上的狄利克雷问题，关于一个测度的拉普拉斯方程
Mathematics in Modern Technical University Pub Date : 2018-12-03 DOI: 10.20535/mmtu-2018.1-011
V. Shram
{"title":"Dirichlet problem in a ball for Laplace’s equation with Laplacian with respect to a measure","authors":"V. Shram","doi":"10.20535/mmtu-2018.1-011","DOIUrl":"https://doi.org/10.20535/mmtu-2018.1-011","url":null,"abstract":"In this article, we study a Dirichlet problem for a generalized Laplace’s equation. We consider a construction of Laplacian with respect to a measure, that generalizes the classical Laplace’s operator to the case of an arbitrary measure. Certain properties of the constructed Laplacian are studied and a Dirichlet problem for Laplace’s equation with this new Laplacian is set. We propose a general solution construction framework for the Dirichlet problem in a ball in 2- and 3-dimensional spaces in the case of densities, that are invariant to orthogonal transforms. Using this framework we find explicit solutions for several important and rich families of densities, with the Gaussian density among them.","PeriodicalId":134977,"journal":{"name":"Mathematics in Modern Technical University","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132677306","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
Alternative construction of surface measure on a finite-dimensional space 有限维空间表面测度的可选构造
Mathematics in Modern Technical University Pub Date : 2018-12-03 DOI: 10.20535/mmtu-2018.1-019
B. M. Snizhko
{"title":"Alternative construction of surface measure on a finite-dimensional space","authors":"B. M. Snizhko","doi":"10.20535/mmtu-2018.1-019","DOIUrl":"https://doi.org/10.20535/mmtu-2018.1-019","url":null,"abstract":"","PeriodicalId":134977,"journal":{"name":"Mathematics in Modern Technical University","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125678428","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
Methods for identification of probability distribution of random variables from data samples with R statistical computing language 用R统计计算语言从数据样本中识别随机变量概率分布的方法
Mathematics in Modern Technical University Pub Date : 2018-12-03 DOI: 10.20535/mmtu-2018.1-091
O. Dykhovychnyi, N. Kruglova, Olha I. Virstiuk
{"title":"Methods for identification of probability distribution of random variables from data samples with R statistical computing language","authors":"O. Dykhovychnyi, N. Kruglova, Olha I. Virstiuk","doi":"10.20535/mmtu-2018.1-091","DOIUrl":"https://doi.org/10.20535/mmtu-2018.1-091","url":null,"abstract":"","PeriodicalId":134977,"journal":{"name":"Mathematics in Modern Technical University","volume":"39 4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114125683","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: 3
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