We have established sufficient conditions of uniform convergence of the series of the form $sumlimits_{k,l=1} a_{k,l} sin kx sin ly$ in the strip: $-infty < x < +infty$, $delta leqslant y leqslant 2pi - delta$ ($delta$ is a fixed number, $0 < delta < pi$).
在条形中建立了形式为$sumlimits_{k,l=1} a_{k,l} sin kx sin ly$的级数一致收敛的充分条件:$-infty < x < +infty$, $delta leqslant y leqslant 2pi - delta$ ($delta$为固定数，$0 < delta < pi$)。
{"title":"On uniform convergence of one class of double trigonometric series","authors":"M. I. Alkhimov","doi":"10.15421/247713","DOIUrl":"https://doi.org/10.15421/247713","url":null,"abstract":"We have established sufficient conditions of uniform convergence of the series of the form $sumlimits_{k,l=1} a_{k,l} sin kx sin ly$ in the strip: $-infty < x < +infty$, $delta leqslant y leqslant 2pi - delta$ ($delta$ is a fixed number, $0 < delta < pi$).","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87121561","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 solving paired integral equations by means of $p$-analytic functions.
用解析函数求解配对积分方程。
{"title":"On solving paired integral equations by means of $p$-analytic functions","authors":"A. A. Busurulov","doi":"10.15421/246703","DOIUrl":"https://doi.org/10.15421/246703","url":null,"abstract":"On solving paired integral equations by means of $p$-analytic functions.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75248408","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 convergence of trigonometric polynomials of the best mean-square approximation.
最佳均方近似下三角多项式的收敛性。
{"title":"On convergence of trigonometric polynomials of the best mean-square approximation","authors":"Ye.I. Kostenko","doi":"10.15421/246908","DOIUrl":"https://doi.org/10.15421/246908","url":null,"abstract":"On convergence of trigonometric polynomials of the best mean-square approximation.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84896849","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}
Trigonometric polynomials that approximate the function in the best way at given set of points.
在给定的一组点上以最佳方式逼近函数的三角多项式。
{"title":"Trigonometric polynomials that approximate the function in the best way at given set of points","authors":"Ye.I. Kostenko","doi":"10.15421/246711","DOIUrl":"https://doi.org/10.15421/246711","url":null,"abstract":"Trigonometric polynomials that approximate the function in the best way at given set of points.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81227525","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 differential properties of one class of nonlinear singular integral operators.
一类非线性奇异积分算子的微分性质。
{"title":"On differential properties of one class of nonlinear singular integral operators","authors":"D. Chernyshenko","doi":"10.15421/246722","DOIUrl":"https://doi.org/10.15421/246722","url":null,"abstract":"On differential properties of one class of nonlinear singular integral operators.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72615130","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 interrelation between some methods of series summation.
级数求和几种方法的相互关系。
{"title":"On interrelation between some methods of series summation","authors":"N. Novikova","doi":"10.15421/246911","DOIUrl":"https://doi.org/10.15421/246911","url":null,"abstract":"On interrelation between some methods of series summation.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82280404","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 sharp upper bound for coefficients of some trigonometric polynomials.
某些三角多项式系数的尖锐上界。
{"title":"On sharp upper bound for coefficients of some trigonometric polynomials","authors":"I. V. Shcherbakov","doi":"10.15421/246723","DOIUrl":"https://doi.org/10.15421/246723","url":null,"abstract":"On sharp upper bound for coefficients of some trigonometric polynomials.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82614305","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":"Congruences of disks of constant curvature","authors":"M. Vydra, E. F. Lishchinskii","doi":"10.15421/246902","DOIUrl":"https://doi.org/10.15421/246902","url":null,"abstract":"Congruences of disks of constant curvature.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80426473","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}
To construction of Green matrices of edge problems of theory of flat hulls with cyclic periodicity.
具有循环周期的平壳理论边缘问题Green矩阵的构造。
{"title":"To construction of Green matrices of edge problems of theory of flat hulls with cyclic periodicity","authors":"S. P. Gavelia","doi":"10.15421/246903","DOIUrl":"https://doi.org/10.15421/246903","url":null,"abstract":"To construction of Green matrices of edge problems of theory of flat hulls with cyclic periodicity.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88427375","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 realization of generalized separated differences in vector spaces.
向量空间中广义分离差分的实现。
{"title":"On realization of generalized separated differences in vector spaces","authors":"V. Ogneva, V. Chernyshenko","doi":"10.15421/246912","DOIUrl":"https://doi.org/10.15421/246912","url":null,"abstract":"On realization of generalized separated differences in vector spaces.","PeriodicalId":52827,"journal":{"name":"Researches in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81790893","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}
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