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Acta et Commentationes Universitatis Tartuensis de Mathematica最新文献

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A new approach in topology via elements of an ideal 一种基于理想元素的拓扑学新方法
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2019-08-09 DOI: 10.12697/ACUTM.2019.23.09
E. Ekici
{"title":"A new approach in topology via elements of an ideal","authors":"E. Ekici","doi":"10.12697/ACUTM.2019.23.09","DOIUrl":"https://doi.org/10.12697/ACUTM.2019.23.09","url":null,"abstract":"New approaches in topology or related branches of mathematics have contributed in a valuable way to the science, and have yielded various new topics for investigation. The main goal of this paper is to examine a new approach and so a new form of open sets via elements of an ideal. The concept of α*ɪ-open sets is introduced and discussed.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"144 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81792998","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
Notes on certain analytic functions concerning some subordinations 关于某些从属关系的某些分析函数的注释
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2019-08-09 DOI: 10.12697/ACUTM.2019.23.08
Ş. Altınkaya, S. Owa, S. Yalçın
{"title":"Notes on certain analytic functions concerning some subordinations","authors":"Ş. Altınkaya, S. Owa, S. Yalçın","doi":"10.12697/ACUTM.2019.23.08","DOIUrl":"https://doi.org/10.12697/ACUTM.2019.23.08","url":null,"abstract":"By making use of the principle of subordination, we investigate a certain subclass of analytic functions. Such results as subordination and superordination are given. The related sandwich-type results are also presented.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"227 3 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73165076","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
An Eneström–Kakeya theorem for new classes of polynomials 新多项式类的Eneström-Kakeya定理
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2019-08-09 DOI: 10.12697/ACUTM.2019.23.11
William Frazier, R. Gardner
{"title":"An Eneström–Kakeya theorem for new classes of polynomials","authors":"William Frazier, R. Gardner","doi":"10.12697/ACUTM.2019.23.11","DOIUrl":"https://doi.org/10.12697/ACUTM.2019.23.11","url":null,"abstract":"<jats:p>See PDF</jats:p>","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"41 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79982376","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
About the convergence type of improper integrals defining fractional derivatives 关于定义分数阶导数的反常积分的收敛型
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2019-08-09 DOI: 10.12697/ACUTM.2019.23.10
B. Kalam, G. Vainikko
{"title":"About the convergence type of improper integrals defining fractional derivatives","authors":"B. Kalam, G. Vainikko","doi":"10.12697/ACUTM.2019.23.10","DOIUrl":"https://doi.org/10.12697/ACUTM.2019.23.10","url":null,"abstract":"This article continues the analysis of the class of fractionally differentiable functions. We complete the main result of [4] that characterises the class of fractionally differentiable functions in terms of the pointwise convergence of certain improper integrals containing these functions. Our aim is to present an example, which shows that in order to obtain all fractionally differentiable functions, one may not replace the conditional convergence of those integrals by their absolute convergence.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"45 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88908001","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 characterization of symplectic groups C2(3n) 辛群C2(3n)的一个新表征
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2019-08-09 DOI: 10.12697/ACUTM.2019.23.12
B. Ebrahimzadeh, R. Mohammadyari
{"title":"A new characterization of symplectic groups C2(3n)","authors":"B. Ebrahimzadeh, R. Mohammadyari","doi":"10.12697/ACUTM.2019.23.12","DOIUrl":"https://doi.org/10.12697/ACUTM.2019.23.12","url":null,"abstract":"We prove that symplectic groups C2(3n), where n = 2k (k ≥ 0) and (32n + 1)=2 is a prime number, can be uniquely determined by the order of the group and the number of elements with the same order.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"28 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78656170","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
Natural vibrations of stepped nanobeams with defects 带有缺陷的阶梯纳米梁的自然振动
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2019-08-09 DOI: 10.12697/ACUTM.2019.23.14
J. Lellep, A. Lenbaum
{"title":"Natural vibrations of stepped nanobeams with defects","authors":"J. Lellep, A. Lenbaum","doi":"10.12697/ACUTM.2019.23.14","DOIUrl":"https://doi.org/10.12697/ACUTM.2019.23.14","url":null,"abstract":"Exact solutions for the transverse vibration of nanobeams based on the nonlocal theory of elasticity are presented. The nanobeams under consideration have piecewise constant dimensions of cross sections and are weakened with crack-like defects. It is assumed that the stationary cracks occur at the re-entrant corners of steps and that the mechanical behaviour of the nanomaterial can be modelled with the Eringen's nonlocal theory. The influence of cracks on the natural vibration is prescribed with the aid of additional local compliance at the weakened cross section. The local compliance is coupled with the stress intensity factor at the crack tip. A general algorithm for determination of eigenfrequencies is developed. It can be used in the case of an arbitrary finite number of steps and cracks.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"1 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78546157","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: 7
Some (p, q)-analogues of Apostol type numbers and polynomials Apostol型数和多项式的一些(p, q)-类似物
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2019-08-09 DOI: 10.12697/ACUTM.2019.23.04
M. Acikgoz, S. Araci, U. Duran
{"title":"Some (p, q)-analogues of Apostol type numbers and polynomials","authors":"M. Acikgoz, S. Araci, U. Duran","doi":"10.12697/ACUTM.2019.23.04","DOIUrl":"https://doi.org/10.12697/ACUTM.2019.23.04","url":null,"abstract":"We consider a new class of generating functions of the generalizations of Bernoulli and Euler polynomials in terms of (p, q)-integers. By making use of these generating functions, we derive (p, q)-generalizations of several old and new identities concerning Apostol–Bernoulli and Apostol–Euler polynomials. Finally, we define the (p, q)-generalization of Stirling polynomials of the second kind of order v, and provide a link between the (p, q)-generalization of Bernoulli polynomials of order v and the (p, q)-generalization of Stirling polynomials of the second kind of order v.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"9 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87794164","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
Some Hermite–Hadamard and Ostrowski type inequalities for fractional integral operators with exponential kernel 指数核分数阶积分算子的一些Hermite-Hadamard和Ostrowski型不等式
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2019-08-09 DOI: 10.12697/ACUTM.2019.23.03
H. Budak, M. Sarıkaya, F. Usta, H. Yildirim
{"title":"Some Hermite–Hadamard and Ostrowski type inequalities for fractional integral operators with exponential kernel","authors":"H. Budak, M. Sarıkaya, F. Usta, H. Yildirim","doi":"10.12697/ACUTM.2019.23.03","DOIUrl":"https://doi.org/10.12697/ACUTM.2019.23.03","url":null,"abstract":"We rstly establish Hermite–Hadamard type integral inequalities for fractional integral operators. Secondly, we give new generalizations of fractional Ostrowski type inequalities through convex functions via Hölder and power means inequalities. In accordance with this purpose, we use fractional integral operators with exponential kernel.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"43 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90878407","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
Comparison of machine learning methods for crack localization 裂纹定位的机器学习方法比较
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2019-08-09 DOI: 10.12697/ACUTM.2019.23.13
H. Hein, L. Jaanuska
{"title":"Comparison of machine learning methods for crack localization","authors":"H. Hein, L. Jaanuska","doi":"10.12697/ACUTM.2019.23.13","DOIUrl":"https://doi.org/10.12697/ACUTM.2019.23.13","url":null,"abstract":"In this paper, the Haar wavelet discrete transform, the artificial neural networks (ANNs), and the random forests (RFs) are applied to predict the location and severity of a crack in an Euler–Bernoulli cantilever subjected to the transverse free vibration. An extensive investigation into two data collection sets and machine learning methods showed that the depth of a crack is more difficult to predict than its location. The data set of eight natural frequency parameters produces more accurate predictions on the crack depth; meanwhile, the data set of eight Haar wavelet coefficients produces more precise predictions on the crack location. Furthermore, the analysis of the results showed that the ensemble of 50 ANN trained by Bayesian regularization and Levenberg–Marquardt algorithms slightly outperforms RF.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"136 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80380631","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
Estimations of Riemann–Liouville k-fractional integrals via convex functions Riemann-Liouville k分数积分的凸函数估计
IF 0.3
Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2019-08-09 DOI: 10.12697/ACUTM.2019.23.07
G. Farid
{"title":"Estimations of Riemann–Liouville k-fractional integrals via convex functions","authors":"G. Farid","doi":"10.12697/ACUTM.2019.23.07","DOIUrl":"https://doi.org/10.12697/ACUTM.2019.23.07","url":null,"abstract":"The k-fractional integrals introduced by S. Mubeen and G. M. Habibullah in 2012 are a generalization of Riemann–Liouville fractional integrals. Some estimations of these fractional integrals via convexity have been established.","PeriodicalId":42426,"journal":{"name":"Acta et Commentationes Universitatis Tartuensis de Mathematica","volume":"35 1","pages":""},"PeriodicalIF":0.3,"publicationDate":"2019-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81255511","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: 10
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