Necessary conditions of extremality in one problem of approximation theory.
近似理论中一个问题极值性的必要条件。
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Estimate of error of cubature formula for the class of differentiable $2pi$-periodic functions of two variables.
二元可微$2pi$-周期函数的数学公式误差估计。
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Development of researches on geometry in Dnipropetrovsk State University.
第聂伯罗彼得罗夫斯克国立大学几何学研究的发展。
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To synthesis of optimizing digital-analog device by dynamic programming method in continuously-discrete form.
用连续离散形式的动态规划方法综合优化数模器件。
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On the best approximation of two-variable functions of class $Z_2$ by some linear operators.
Z_2$类两变量函数的一些线性算子的最佳逼近。
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{"title":"On one generalization of cut surfaces","authors":"B. S. Vakarchuk, P. T. Stepanenko","doi":"10.15421/246919","DOIUrl":"https://doi.org/10.15421/246919","url":null,"abstract":"On one generalization of cut surfaces.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":"50 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90608277","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}
{"title":"Tauberian theorems for absolute summability","authors":"K. M. Slepenchuk","doi":"10.15421/246716","DOIUrl":"https://doi.org/10.15421/246716","url":null,"abstract":"Tauberian theorems for absolute summability.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":"127 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89001649","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}
On approximation of two-variable function by linear positive polynomial operators.
二元函数的线性正多项式逼近。
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Longitudinal oscillations of relaxating rod with free endpoints.
具有自由端点的松弛杆的纵向振荡。
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{"title":"Screw surfaces in Lobachevskii space","authors":"A. A. Vakarchuk, P. T. Stepanenko","doi":"10.15421/246705","DOIUrl":"https://doi.org/10.15421/246705","url":null,"abstract":"Screw surfaces in Lobachevskii space.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":"299 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74999606","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}