Summability of Fourier Series and its Derived Series by Matrix Means
ThisPaper introduces the concept of matrix operators and establishes two newtheorems on matrix summability of Fourier series and its derived series. theresults obtained in the paper further extend several known results on linearoperators. Various types of criteria, under varying conditions, for the...
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| Format: | Article |
| Language: | English |
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Naim Çağman
2019-01-01
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| Series: | Journal of New Theory |
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| Online Access: | https://dergipark.org.tr/en/download/article-file/616008 |
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| _version_ | 1850079714326085632 |
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| author | Abdelhadi Mohammad Karazon Mohammad Mahmoud Amer |
| author_facet | Abdelhadi Mohammad Karazon Mohammad Mahmoud Amer |
| author_sort | Abdelhadi Mohammad Karazon |
| collection | DOAJ |
| description | ThisPaper introduces the concept of matrix operators and establishes two newtheorems on matrix summability of Fourier series and its derived series. theresults obtained in the paper further extend several known results on linearoperators. Various types of criteria, under varying conditions, for the matrix summabilityof the Fourier series, In this paper quite a different and general type ofcriterion for summability of the Fourier Series has been obtained, in thetheorem function is integrable in the sense ofLebesgue to the interval [-\pi,\pi] and period with period 2\pi. |
| format | Article |
| id | doaj-art-5c02b946423343dca6d014bfb81af3a6 |
| institution | DOAJ |
| issn | 2149-1402 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Naim Çağman |
| record_format | Article |
| series | Journal of New Theory |
| spelling | doaj-art-5c02b946423343dca6d014bfb81af3a62025-08-20T02:45:08ZengNaim ÇağmanJournal of New Theory2149-14022019-01-012654632425Summability of Fourier Series and its Derived Series by Matrix MeansAbdelhadi Mohammad KarazonMohammad Mahmoud AmerThisPaper introduces the concept of matrix operators and establishes two newtheorems on matrix summability of Fourier series and its derived series. theresults obtained in the paper further extend several known results on linearoperators. Various types of criteria, under varying conditions, for the matrix summabilityof the Fourier series, In this paper quite a different and general type ofcriterion for summability of the Fourier Series has been obtained, in thetheorem function is integrable in the sense ofLebesgue to the interval [-\pi,\pi] and period with period 2\pi.https://dergipark.org.tr/en/download/article-file/616008summabilitymatrix summabilityfourier seriesderived fourier series |
| spellingShingle | Abdelhadi Mohammad Karazon Mohammad Mahmoud Amer Summability of Fourier Series and its Derived Series by Matrix Means Journal of New Theory summability matrix summability fourier series derived fourier series |
| title | Summability of Fourier Series and its Derived Series by Matrix Means |
| title_full | Summability of Fourier Series and its Derived Series by Matrix Means |
| title_fullStr | Summability of Fourier Series and its Derived Series by Matrix Means |
| title_full_unstemmed | Summability of Fourier Series and its Derived Series by Matrix Means |
| title_short | Summability of Fourier Series and its Derived Series by Matrix Means |
| title_sort | summability of fourier series and its derived series by matrix means |
| topic | summability matrix summability fourier series derived fourier series |
| url | https://dergipark.org.tr/en/download/article-file/616008 |
| work_keys_str_mv | AT abdelhadimohammadkarazon summabilityoffourierseriesanditsderivedseriesbymatrixmeans AT mohammadmahmoudamer summabilityoffourierseriesanditsderivedseriesbymatrixmeans |