On the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier Series
Approximation theory is a very important field which has various applications in pure and applied mathematics. The present study deals with a new theorem on the approximation of functions of Lipschitz class by using Euler’s mean of conjugate series of Fourier series. In this paper, the degree of ap...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2013/508026 |
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| _version_ | 1832562405886918656 |
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| author | Jitendra Kumar Kushwaha |
| author_facet | Jitendra Kumar Kushwaha |
| author_sort | Jitendra Kumar Kushwaha |
| collection | DOAJ |
| description | Approximation theory is a very important field which has various applications in pure and applied mathematics. The present study deals with a new theorem on the approximation of functions of Lipschitz class by using Euler’s mean of conjugate series of Fourier series. In this paper, the degree of approximation by using Euler’s means of conjugate of functions belonging to class has been obtained. and classes are the particular cases of class. The main result of this paper generalizes some well-known results in this direction. |
| format | Article |
| id | doaj-art-5f8a19f638d648b79c7089a6524ab809 |
| institution | Kabale University |
| issn | 1537-744X |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-5f8a19f638d648b79c7089a6524ab8092025-02-03T01:22:46ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/508026508026On the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier SeriesJitendra Kumar Kushwaha0Department of Pure & Applied Mathematics, Guru Ghasidas University, Koni, Bilaspur 495009, IndiaApproximation theory is a very important field which has various applications in pure and applied mathematics. The present study deals with a new theorem on the approximation of functions of Lipschitz class by using Euler’s mean of conjugate series of Fourier series. In this paper, the degree of approximation by using Euler’s means of conjugate of functions belonging to class has been obtained. and classes are the particular cases of class. The main result of this paper generalizes some well-known results in this direction.http://dx.doi.org/10.1155/2013/508026 |
| spellingShingle | Jitendra Kumar Kushwaha On the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier Series The Scientific World Journal |
| title | On the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier Series |
| title_full | On the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier Series |
| title_fullStr | On the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier Series |
| title_full_unstemmed | On the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier Series |
| title_short | On the Approximation of Generalized Lipschitz Function by Euler Means of Conjugate Series of Fourier Series |
| title_sort | on the approximation of generalized lipschitz function by euler means of conjugate series of fourier series |
| url | http://dx.doi.org/10.1155/2013/508026 |
| work_keys_str_mv | AT jitendrakumarkushwaha ontheapproximationofgeneralizedlipschitzfunctionbyeulermeansofconjugateseriesoffourierseries |