Degree of convergence of the functions of trigonometric series in Sobolev spaces and its applications
Abstract In this paper, we study the degree of convergence of the functions of Fourier series and conjugate Fourier series in Sobolev spaces using Riesz means. We also study some applications of our main results and observe that our results are much better than earlier results.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-05-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13660-022-02794-0 |
| _version_ | 1811338864067870720 |
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| author | H. K. Nigam Saroj Yadav |
| author_facet | H. K. Nigam Saroj Yadav |
| author_sort | H. K. Nigam |
| collection | DOAJ |
| description | Abstract In this paper, we study the degree of convergence of the functions of Fourier series and conjugate Fourier series in Sobolev spaces using Riesz means. We also study some applications of our main results and observe that our results are much better than earlier results. |
| first_indexed | 2024-04-13T18:17:51Z |
| format | Article |
| id | doaj.art-46798bbf1af34f3fb20f6a71c2f18f93 |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-04-13T18:17:51Z |
| publishDate | 2022-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-46798bbf1af34f3fb20f6a71c2f18f932022-12-22T02:35:37ZengSpringerOpenJournal of Inequalities and Applications1029-242X2022-05-012022112110.1186/s13660-022-02794-0Degree of convergence of the functions of trigonometric series in Sobolev spaces and its applicationsH. K. Nigam0Saroj Yadav1Department of Mathematics, Central University of South BiharDepartment of Mathematics, Central University of South BiharAbstract In this paper, we study the degree of convergence of the functions of Fourier series and conjugate Fourier series in Sobolev spaces using Riesz means. We also study some applications of our main results and observe that our results are much better than earlier results.https://doi.org/10.1186/s13660-022-02794-0Degree of convergenceModulus of smoothnessSobolev spacesRiesz meansFourier seriesDerived Fourier series |
| spellingShingle | H. K. Nigam Saroj Yadav Degree of convergence of the functions of trigonometric series in Sobolev spaces and its applications Journal of Inequalities and Applications Degree of convergence Modulus of smoothness Sobolev spaces Riesz means Fourier series Derived Fourier series |
| title | Degree of convergence of the functions of trigonometric series in Sobolev spaces and its applications |
| title_full | Degree of convergence of the functions of trigonometric series in Sobolev spaces and its applications |
| title_fullStr | Degree of convergence of the functions of trigonometric series in Sobolev spaces and its applications |
| title_full_unstemmed | Degree of convergence of the functions of trigonometric series in Sobolev spaces and its applications |
| title_short | Degree of convergence of the functions of trigonometric series in Sobolev spaces and its applications |
| title_sort | degree of convergence of the functions of trigonometric series in sobolev spaces and its applications |
| topic | Degree of convergence Modulus of smoothness Sobolev spaces Riesz means Fourier series Derived Fourier series |
| url | https://doi.org/10.1186/s13660-022-02794-0 |
| work_keys_str_mv | AT hknigam degreeofconvergenceofthefunctionsoftrigonometricseriesinsobolevspacesanditsapplications AT sarojyadav degreeofconvergenceofthefunctionsoftrigonometricseriesinsobolevspacesanditsapplications |