Wavelet approximation of a function using Chebyshev wavelets
Abstract In this paper, we estimate the best wavelet approximations of a function f having bounded second derivatives and bounded higher-order derivatives using Chebyshev wavelets of third and fourth kinds.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-07-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-020-02453-2 |
| _version_ | 1818552537137020928 |
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| author | H. K. Nigam R. N. Mohapatra K. Murari |
| author_facet | H. K. Nigam R. N. Mohapatra K. Murari |
| author_sort | H. K. Nigam |
| collection | DOAJ |
| description | Abstract In this paper, we estimate the best wavelet approximations of a function f having bounded second derivatives and bounded higher-order derivatives using Chebyshev wavelets of third and fourth kinds. |
| first_indexed | 2024-12-12T09:14:29Z |
| format | Article |
| id | doaj.art-818280cf2f7a4abeb58021d74c08c0ba |
| institution | Directory Open Access Journal |
| issn | 1029-242X |
| language | English |
| last_indexed | 2024-12-12T09:14:29Z |
| publishDate | 2020-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-818280cf2f7a4abeb58021d74c08c0ba2022-12-22T00:29:25ZengSpringerOpenJournal of Inequalities and Applications1029-242X2020-07-012020111410.1186/s13660-020-02453-2Wavelet approximation of a function using Chebyshev waveletsH. K. Nigam0R. N. Mohapatra1K. Murari2Department of Mathematics, Central University of South BiharDepartment of Mathematics, University of Central FloridaDepartment of Mathematics, Central University of South BiharAbstract In this paper, we estimate the best wavelet approximations of a function f having bounded second derivatives and bounded higher-order derivatives using Chebyshev wavelets of third and fourth kinds.http://link.springer.com/article/10.1186/s13660-020-02453-2Wavelet approximationChebyshev waveletsAdmissibility conditionsFunctions of bounded derivatives |
| spellingShingle | H. K. Nigam R. N. Mohapatra K. Murari Wavelet approximation of a function using Chebyshev wavelets Journal of Inequalities and Applications Wavelet approximation Chebyshev wavelets Admissibility conditions Functions of bounded derivatives |
| title | Wavelet approximation of a function using Chebyshev wavelets |
| title_full | Wavelet approximation of a function using Chebyshev wavelets |
| title_fullStr | Wavelet approximation of a function using Chebyshev wavelets |
| title_full_unstemmed | Wavelet approximation of a function using Chebyshev wavelets |
| title_short | Wavelet approximation of a function using Chebyshev wavelets |
| title_sort | wavelet approximation of a function using chebyshev wavelets |
| topic | Wavelet approximation Chebyshev wavelets Admissibility conditions Functions of bounded derivatives |
| url | http://link.springer.com/article/10.1186/s13660-020-02453-2 |
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