On Generalized Carleson Operators of Periodic Wavelet Packet Expansions
Three new theorems based on the generalized Carleson operators for the periodic Walsh-type wavelet packets have been established. An application of these theorems as convergence a.e. for the periodic Walsh-type wavelet packet expansion of block function with the help of summation by arithmetic means...
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| Main Authors: | , |
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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/10.1155/2013/379861 |
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| _version_ | 1832559880913813504 |
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| author | Shyam Lal Manoj Kumar |
| author_facet | Shyam Lal Manoj Kumar |
| author_sort | Shyam Lal |
| collection | DOAJ |
| description | Three new theorems based on the generalized Carleson operators for the periodic Walsh-type wavelet packets have been established. An application of these theorems as convergence a.e. for the periodic Walsh-type wavelet packet expansion of block function with the help of summation by arithmetic means has been studied. |
| format | Article |
| id | doaj-art-11e9f10523dd4a789d5773c589f8a4b1 |
| 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-11e9f10523dd4a789d5773c589f8a4b12025-02-03T01:28:56ZengWileyThe Scientific World Journal1537-744X2013-01-01201310.1155/2013/379861379861On Generalized Carleson Operators of Periodic Wavelet Packet ExpansionsShyam Lal0Manoj Kumar1Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi 221005, IndiaDepartment of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi 221005, IndiaThree new theorems based on the generalized Carleson operators for the periodic Walsh-type wavelet packets have been established. An application of these theorems as convergence a.e. for the periodic Walsh-type wavelet packet expansion of block function with the help of summation by arithmetic means has been studied.http://dx.doi.org/10.1155/2013/379861 |
| spellingShingle | Shyam Lal Manoj Kumar On Generalized Carleson Operators of Periodic Wavelet Packet Expansions The Scientific World Journal |
| title | On Generalized Carleson Operators of Periodic Wavelet Packet Expansions |
| title_full | On Generalized Carleson Operators of Periodic Wavelet Packet Expansions |
| title_fullStr | On Generalized Carleson Operators of Periodic Wavelet Packet Expansions |
| title_full_unstemmed | On Generalized Carleson Operators of Periodic Wavelet Packet Expansions |
| title_short | On Generalized Carleson Operators of Periodic Wavelet Packet Expansions |
| title_sort | on generalized carleson operators of periodic wavelet packet expansions |
| url | http://dx.doi.org/10.1155/2013/379861 |
| work_keys_str_mv | AT shyamlal ongeneralizedcarlesonoperatorsofperiodicwaveletpacketexpansions AT manojkumar ongeneralizedcarlesonoperatorsofperiodicwaveletpacketexpansions |