Applications of Hankel and Regular Matrices in Fourier Series
Recently, Alghamdi and Mursaleen (2013) used the Hankel matrix to determine the necessary and suffcient condition to find the sum of the Walsh-Fourier series. In this paper, we propose to use the Hankel matrix as well as any general nonnegative regular matrix to obtain the necessary and sufficient c...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/947492 |
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| _version_ | 1832560455949746176 |
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| author | Abdullah Alotaibi M. Mursaleen |
| author_facet | Abdullah Alotaibi M. Mursaleen |
| author_sort | Abdullah Alotaibi |
| collection | DOAJ |
| description | Recently, Alghamdi and Mursaleen (2013) used the Hankel matrix to determine the necessary and suffcient condition to find the sum of the Walsh-Fourier series. In this paper, we propose
to use the Hankel matrix as well as any general nonnegative regular matrix to obtain the necessary
and sufficient conditions to sum the derived Fourier series and conjugate Fourier series. |
| format | Article |
| id | doaj-art-e1031e699b444cbdb9b8f5c8d6538a1e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e1031e699b444cbdb9b8f5c8d6538a1e2025-02-03T01:27:35ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/947492947492Applications of Hankel and Regular Matrices in Fourier SeriesAbdullah Alotaibi0M. Mursaleen1Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, IndiaRecently, Alghamdi and Mursaleen (2013) used the Hankel matrix to determine the necessary and suffcient condition to find the sum of the Walsh-Fourier series. In this paper, we propose to use the Hankel matrix as well as any general nonnegative regular matrix to obtain the necessary and sufficient conditions to sum the derived Fourier series and conjugate Fourier series.http://dx.doi.org/10.1155/2013/947492 |
| spellingShingle | Abdullah Alotaibi M. Mursaleen Applications of Hankel and Regular Matrices in Fourier Series Abstract and Applied Analysis |
| title | Applications of Hankel and Regular Matrices in Fourier Series |
| title_full | Applications of Hankel and Regular Matrices in Fourier Series |
| title_fullStr | Applications of Hankel and Regular Matrices in Fourier Series |
| title_full_unstemmed | Applications of Hankel and Regular Matrices in Fourier Series |
| title_short | Applications of Hankel and Regular Matrices in Fourier Series |
| title_sort | applications of hankel and regular matrices in fourier series |
| url | http://dx.doi.org/10.1155/2013/947492 |
| work_keys_str_mv | AT abdullahalotaibi applicationsofhankelandregularmatricesinfourierseries AT mmursaleen applicationsofhankelandregularmatricesinfourierseries |