{"title":"Degree of convergence of a function in generalized Zygmund space","authors":"H. K. Nigam, M. Mursaleen, M. Sah","doi":"10.3934/mfc.2022029","DOIUrl":null,"url":null,"abstract":"<p style='text-indent:20px;'>In this paper, we obtain the results on the degree of convergence of a function of Fourier series in generalized Zygmund space using deferred Cesàro-generalized Nörlund <inline-formula><tex-math id=\"M1\">\\begin{document}$ (D^{h}_{g}N^{a,b}) $\\end{document}</tex-math></inline-formula> transformation. Important corollaries are deduced from our main results. Some applications are also given in support of our main results.</p>","PeriodicalId":93334,"journal":{"name":"Mathematical foundations of computing","volume":"8 1","pages":"484-499"},"PeriodicalIF":1.3000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical foundations of computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/mfc.2022029","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we obtain the results on the degree of convergence of a function of Fourier series in generalized Zygmund space using deferred Cesàro-generalized Nörlund \begin{document}$ (D^{h}_{g}N^{a,b}) $\end{document} transformation. Important corollaries are deduced from our main results. Some applications are also given in support of our main results.
In this paper, we obtain the results on the degree of convergence of a function of Fourier series in generalized Zygmund space using deferred Cesàro-generalized Nörlund \begin{document}$ (D^{h}_{g}N^{a,b}) $\end{document} transformation. Important corollaries are deduced from our main results. Some applications are also given in support of our main results.