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Researches in Mathematics最新文献

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Sharp estimates of approximation of classes of differentiable functions by entire functions 整函数对可微函数类近似的尖锐估计
Researches in Mathematics Pub Date : 2021-10-06 DOI: 10.15421/247701
V. Babenko, A.Yu. Gromov
{"title":"Sharp estimates of approximation of classes of differentiable functions by entire functions","authors":"V. Babenko, A.Yu. Gromov","doi":"10.15421/247701","DOIUrl":"https://doi.org/10.15421/247701","url":null,"abstract":"In the paper, we find the sharp estimate of the best approximation, by entire functions of exponential type not greater than $sigma$, for functions $f(x)$ from the class $W^r H^{omega}$ such that $limlimits_{x rightarrow -infty} f(x) = limlimits_{x rightarrow infty} f(x) = 0$,$$A_{sigma}(W^r H^{omega}_0)_C = frac{1}{sigma^{r+1}} intlimits_0^{pi} Phi_{pi, r}(t)omega'(t/sigma)dt$$for $sigma > 0$, $r = 1, 2, 3, ldots$ and concave modulus of continuity.Also, we calculate the supremum$$suplimits_{substack{fin L^{(r)}f ne const}} frac{sigma^r A_{sigma}(f)_L}{omega (f^{(r)}, pi/sigma)_L} = frac{K_L}{2}$$","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":"617 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77621209","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 algorithm of covering a graph by heterogeneous chains 用异构链覆盖图的一种算法
Researches in Mathematics Pub Date : 2021-10-06 DOI: 10.15421/247731
N.A. Likholat
{"title":"On one algorithm of covering a graph by heterogeneous chains","authors":"N.A. Likholat","doi":"10.15421/247731","DOIUrl":"https://doi.org/10.15421/247731","url":null,"abstract":"In the paper, we propose the algorithm of covering a graph by chains of types that satisfy bounds for length and total weight of a chain.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":"75 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77680735","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 regular movements of a material rod 材料棒的有规律的运动
Researches in Mathematics Pub Date : 2021-10-06 DOI: 10.15421/247724
L. Boiko
{"title":"On regular movements of a material rod","authors":"L. Boiko","doi":"10.15421/247724","DOIUrl":"https://doi.org/10.15421/247724","url":null,"abstract":"We study the equations of movement of a rod and other simplest rectilinear bodies. We have found some of their regular solutions, which can be used to construct periodic solutions, close to these regular ones.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":"205 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77471588","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
Absolute summability of power $p$ of series, associated with conjugate Fourier series, by triangular matrix methods 用三角矩阵法求共轭傅里叶级数的幂p的绝对可和性
Researches in Mathematics Pub Date : 2021-10-06 DOI: 10.15421/247715
N. I. Volkova, N. Novikova
{"title":"Absolute summability of power $p$ of series, associated with conjugate Fourier series, by triangular matrix methods","authors":"N. I. Volkova, N. Novikova","doi":"10.15421/247715","DOIUrl":"https://doi.org/10.15421/247715","url":null,"abstract":"We establish conditions of absolute summability of powers of series that are associated with conjugate Fourier series, by triangular matrix methods, and provide the application of the theorems proved to Voronoi-Nerlund method.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":"3 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86163910","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
Absolute summability of conjugate Fourier integrals by Voronoi-Nerlund method 用Voronoi-Nerlund方法求共轭傅里叶积分的绝对可和性
Researches in Mathematics Pub Date : 2021-10-06 DOI: 10.15421/247716
N. I. Volkova, N.P. Ogol
{"title":"Absolute summability of conjugate Fourier integrals by Voronoi-Nerlund method","authors":"N. I. Volkova, N.P. Ogol","doi":"10.15421/247716","DOIUrl":"https://doi.org/10.15421/247716","url":null,"abstract":"We establish conditions of absolute summability of Fourier integrals and conjugate Fourier integrals by Voronoi-Nerlund method.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":"87 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81387266","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
Algorithm of search identification with forced search for extremum 基于强制极值搜索的搜索识别算法
Researches in Mathematics Pub Date : 2021-10-06 DOI: 10.15421/247732
A. Mikhalev, L. V. Korol
{"title":"Algorithm of search identification with forced search for extremum","authors":"A. Mikhalev, L. V. Korol","doi":"10.15421/247732","DOIUrl":"https://doi.org/10.15421/247732","url":null,"abstract":"We provide one of possible ways to reduce the time of transitive process of models tuning in the identification problems, which is: forced search for extremum of system state criterion.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":"43 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86209002","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 multidimensional Jackson's theorem 关于多维杰克逊定理
Researches in Mathematics Pub Date : 2021-10-06 DOI: 10.15421/247708
S. Pichugov
{"title":"On multidimensional Jackson's theorem","authors":"S. Pichugov","doi":"10.15421/247708","DOIUrl":"https://doi.org/10.15421/247708","url":null,"abstract":"We have found the best linear polynomial methods of approximation of continuous periodic functions of multiple variables in uniform metric with concave modulus of continuity.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":"2 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87251082","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
Exact values of approximation by infinitely differentiable splines on some classes of functions 用无穷可微样条逼近某些函数的精确值
Researches in Mathematics Pub Date : 2021-10-06 DOI: 10.15421/247703
V. L. Velikіn
{"title":"Exact values of approximation by infinitely differentiable splines on some classes of functions","authors":"V. L. Velikіn","doi":"10.15421/247703","DOIUrl":"https://doi.org/10.15421/247703","url":null,"abstract":"We have found exact values of approximation in uniform metric by interpolative infinitely differentiable splines on the classes $W^r_{L_p}$.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":"64 3","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72579677","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
Asymptotic research of deformations and stresses of the ring that sustains the seam of elliptic bottom and conic shell 椭圆底与圆锥壳接缝支承环变形与应力的渐近研究
Researches in Mathematics Pub Date : 2021-10-06 DOI: 10.15421/247736
B. N. Yakovlev
{"title":"Asymptotic research of deformations and stresses of the ring that sustains the seam of elliptic bottom and conic shell","authors":"B. N. Yakovlev","doi":"10.15421/247736","DOIUrl":"https://doi.org/10.15421/247736","url":null,"abstract":"In the paper, we consider stress-deformed state of elastic system that consists of the elliptic bottom, the ring, and the conic shell. The ring is under arbitrary load, which acts in its plane.On the base of the principal differential dependencies of design of the planar circular ring, we obtain the expressions for tensions, momentum, and the angle of rotation of lateral section.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":"182 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81941483","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 approximation, in the strong sense, of functions of two variables by trigonometric polynomials 在强意义上，用三角多项式近似两个变量的函数
Researches in Mathematics Pub Date : 2021-10-06 DOI: 10.15421/247706
V. V. Lipovik, N. P. Khoroshko
{"title":"On approximation, in the strong sense, of functions of two variables by trigonometric polynomials","authors":"V. V. Lipovik, N. P. Khoroshko","doi":"10.15421/247706","DOIUrl":"https://doi.org/10.15421/247706","url":null,"abstract":"In the paper, we have found order asymptotic estimates of approximations, in the strong sense, relative to given matrix of classes of continuous periodic functions of two variables by some trigonometric polynomials.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":"14 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90442149","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
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