发布求助
文献互助 智能选刊 最新文献

Dnipro University Mathematics Bulletin最新文献

筛选
英文 中文
On the convergence of multidimensional regular C-fractions with independent variables 具有自变量的多维正则c分数的收敛性
Dnipro University Mathematics Bulletin Pub Date : 2018-06-25 DOI: 10.15421/241803
R. Dmytryshyn
{"title":"On the convergence of multidimensional regular C-fractions with independent variables","authors":"R. Dmytryshyn","doi":"10.15421/241803","DOIUrl":"https://doi.org/10.15421/241803","url":null,"abstract":"In this paper, we investigate the convergence of multidimensional regular С-fractions with independent variables, which are a multidimensional generalization of regular С-fractions. These branched continued fractions are an efficient tool for the approximation of multivariable functions, which are represented by formal multiple power series. We have shown that the intersection of the interior of the parabola and the open disk is the domain of convergence of a multidimensional regular С-fraction with independent variables. And, in addition, we have shown that the interior of the parabola is the domain of convergence of a branched continued fraction, which is reciprocal to the multidimensional regular С-fraction with independent variables.","PeriodicalId":339757,"journal":{"name":"Dnipro University Mathematics Bulletin","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122326306","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
On interpolation of operators of weak type $$$(phi_0, psi_0, phi_1, psi_1)$$$ in Lorentz spaces in borderline cases 边界情况下洛伦兹空间中弱类型$$$(phi_0， psi_0， phi_1， psi_1)$$$的插值
Dnipro University Mathematics Bulletin Pub Date : 2018-06-25 DOI: 10.15421/241809
B. I. Peleshenko, T. N. Semirenko
{"title":"On interpolation of operators of weak type $$$(phi_0, psi_0, phi_1, psi_1)$$$ in Lorentz spaces in borderline cases","authors":"B. I. Peleshenko, T. N. Semirenko","doi":"10.15421/241809","DOIUrl":"https://doi.org/10.15421/241809","url":null,"abstract":"The quaslinear operators of weak type $$$(phi_0, psi_0, phi_1, psi_1)$$$, analogs of the Calderon, Bennett operators in the case of concave and convex functions $$$phi_0(t)$$$, $$$psi_0(t)$$$, $$$phi_1(t)$$$, $$$psi_1(t)$$$ are considered. The theorems of interpolation of these operators from the Lorentz space $$$Lambda_{psi, b}(mathbb{R}^n)$$$ into the space $$$Lambda_{psi, a}(mathbb{R}^n)$$$ in cases when $$$0 < b leqslant a leqslant 1$$$ and relation of function $$$phi^{frac{1}{b}}(t)$$$ to one of functions $$$phi_1(t)$$$, $$$phi_2(t)$$$ is slowly varying function are proved.","PeriodicalId":339757,"journal":{"name":"Dnipro University Mathematics Bulletin","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132242489","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
Inequalities of various metrics for the norms $$$|x|_{p,delta} = sup bigl{ | x |_{L_p[a,b]} colon a,bin mathbb{R}, b-aleqslant delta bigr}$$$ of differentiable functions on the real domain 实域上可微函数$$$|x|_{p，delta} = sup bigl{|x|_{L_p[a,b]} 冒号a,bin mathbb{R}， b-aleqslant delta bigr}$$$的各种度量不等式
Dnipro University Mathematics Bulletin Pub Date : 2018-06-25 DOI: 10.15421/241806
V. Kofanov
{"title":"Inequalities of various metrics for the norms $$$|x|_{p,delta} = sup bigl{ | x |_{L_p[a,b]} colon a,bin mathbb{R}, b-aleqslant delta bigr}$$$ of differentiable functions on the real domain","authors":"V. Kofanov","doi":"10.15421/241806","DOIUrl":"https://doi.org/10.15421/241806","url":null,"abstract":"We prove sharp inequalities of various metrics for the norms $$$| x |_{p, delta}$$$ of differentiable functions defined on the real line, trigonometric polynomials and periodic splines.","PeriodicalId":339757,"journal":{"name":"Dnipro University Mathematics Bulletin","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130560347","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
The best polynomial approximations of some classes of analytic functions in the Hardy spaces Hardy空间中几类解析函数的最佳多项式逼近
Dnipro University Mathematics Bulletin Pub Date : 2018-06-25 DOI: 10.15421/241802
S. Vakarchuk, V. I. Zabutna, M. Vakarchuk
{"title":"The best polynomial approximations of some classes of analytic functions in the Hardy spaces","authors":"S. Vakarchuk, V. I. Zabutna, M. Vakarchuk","doi":"10.15421/241802","DOIUrl":"https://doi.org/10.15421/241802","url":null,"abstract":"Problems of the best polynomial approximation of classes of analytic functions $$$H^m_{p,R}$$$, $$$min mathbb{Z}_+$$$, $$$R geqslant 1$$$, $$$1 leqslant p leqslant infty$$$, have been investigated in the Hardy spaces $$$H_p$$$. The best linear methods of approximation were constructed on the indicated classes.","PeriodicalId":339757,"journal":{"name":"Dnipro University Mathematics Bulletin","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131535803","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 one property of zeros of polynomials of the least $$$(alpha; beta)$$$-deviation from zero in weighted space $$$L_p$$$ 关于最小$$$( α;beta)$$$-加权空间$$$L_p$$$ $偏离零
Dnipro University Mathematics Bulletin Pub Date : 2018-06-25 DOI: 10.15421/241810
O. V. Polyakov
{"title":"On one property of zeros of polynomials of the least $$$(alpha; beta)$$$-deviation from zero in weighted space $$$L_p$$$","authors":"O. V. Polyakov","doi":"10.15421/241810","DOIUrl":"https://doi.org/10.15421/241810","url":null,"abstract":"We prove the property of monotonity of zeros of polynomials of the least $$$(alpha; beta)$$$-deviation from zero in the space with integral metrics with weight.","PeriodicalId":339757,"journal":{"name":"Dnipro University Mathematics Bulletin","volume":"352 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126688057","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
Pointwise estimates of the best one-sided approximations of classes $$$W^r_{infty}$$$ for $$$0 < r < 1$$$ 类$$$W^r_{infty}$$$对于$$$0 < r < 1$$$ $的最佳单侧逼近的点态估计
Dnipro University Mathematics Bulletin Pub Date : 2018-06-25 DOI: 10.15421/241808
A. M. Pas'ko, V. D. Stefura
{"title":"Pointwise estimates of the best one-sided approximations of classes $$$W^r_{infty}$$$ for $$$0 < r < 1$$$","authors":"A. M. Pas'ko, V. D. Stefura","doi":"10.15421/241808","DOIUrl":"https://doi.org/10.15421/241808","url":null,"abstract":"The asymptotic pointwise estimation of the best one-sided approximations to the classes $$$W^r_{infty}$$$, $$$0 < r < 1$$$, has been established.","PeriodicalId":339757,"journal":{"name":"Dnipro University Mathematics Bulletin","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128949370","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 mean approximation of function and its derivatives 函数及其导数的均值逼近
Dnipro University Mathematics Bulletin Pub Date : 2018-06-25 DOI: 10.15421/241807
V. P. Motornyi
{"title":"On mean approximation of function and its derivatives","authors":"V. P. Motornyi","doi":"10.15421/241807","DOIUrl":"https://doi.org/10.15421/241807","url":null,"abstract":"Some properties of the functions being integrable on the segment were considered in this article. Estimates for approximation are obtained.","PeriodicalId":339757,"journal":{"name":"Dnipro University Mathematics Bulletin","volume":"135 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116547963","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
The order of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions 利用盒形分区上的调和样条，研究了有界拉普拉斯函数的最佳超限插值的阶数
Dnipro University Mathematics Bulletin Pub Date : 2018-06-25 DOI: 10.15421/241811
D. Skorokhodov
{"title":"The order of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions","authors":"D. Skorokhodov","doi":"10.15421/241811","DOIUrl":"https://doi.org/10.15421/241811","url":null,"abstract":"We show that the error of the best transfinite interpolation of functions with bounded laplacian with the help of harmonic splines on box partitions comprising $$$N$$$ elements has the order $$$N^{-2}$$$ as $$$N rightarrow infty$$$.","PeriodicalId":339757,"journal":{"name":"Dnipro University Mathematics Bulletin","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121355142","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
Grygorіj Oleksіjovych Gruzintsev: the man, the mathematician, the philosopher 格鲁津采夫:一个人，一个数学家，一个哲学家
Dnipro University Mathematics Bulletin Pub Date : 2018-06-25 DOI: 10.15421/241801
M. Vakarchuk, M. Tkachenko
{"title":"Grygorіj Oleksіjovych Gruzintsev: the man, the mathematician, the philosopher","authors":"M. Vakarchuk, M. Tkachenko","doi":"10.15421/241801","DOIUrl":"https://doi.org/10.15421/241801","url":null,"abstract":"The article describes the main milestones of the life of the professor of mathematics G. О. Gruzintsev and some aspects of his research work in mathematics and in the theory of science. The list of the main works of G. О. Gruzintsev is given.","PeriodicalId":339757,"journal":{"name":"Dnipro University Mathematics Bulletin","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128586994","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
The criterion of the best approximant for the multivariable functions in the space $$$L_{p_1,...,p_{i-1},1,p_{i+1},...,p_n}$$$ 空间$$$L_{p_1，…，p_{i-1}，1,p_{i+1}，…，p_n}$$$中多变量函数的最佳逼近准则
Dnipro University Mathematics Bulletin Pub Date : 2018-06-25 DOI: 10.15421/241812
V. M. Traktyns'ka, M. Tkachenko, D. O. Osennikova
{"title":"The criterion of the best approximant for the multivariable functions in the space $$$L_{p_1,...,p_{i-1},1,p_{i+1},...,p_n}$$$","authors":"V. M. Traktyns'ka, M. Tkachenko, D. O. Osennikova","doi":"10.15421/241812","DOIUrl":"https://doi.org/10.15421/241812","url":null,"abstract":"The questions of the characterization of the best approximant for the multivariable functions in the space with mixed integral metric were considered in this article. The criterion of the best approximant in space $$$L_{p_1,...,p_{i-1},1,p_{i+1},...,p_n}$$$ is obtained.","PeriodicalId":339757,"journal":{"name":"Dnipro University Mathematics Bulletin","volume":"6 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113962084","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
下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信