Applications of Cesàro Submethod to Trigonometric Approximation of Signals (Functions) Belonging to Class Lip(α,p) in Lp-Norm
We prove two Theorems on approximation of functions belonging to Lipschitz class Lip(α,p) in Lp-norm using Cesàro submethod. Further we discuss few corollaries of our Theorems and compare them with the existing results. We also note that our results give sharper estimates than the estimates in some...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2016/9048671 |
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| author | M. L. Mittal Mradul Veer Singh |
| author_facet | M. L. Mittal Mradul Veer Singh |
| author_sort | M. L. Mittal |
| collection | DOAJ |
| description | We prove two Theorems on approximation of functions belonging to Lipschitz class Lip(α,p) in Lp-norm using Cesàro submethod. Further we discuss few corollaries of our Theorems and compare them with the existing results. We also note that our results give sharper estimates than the estimates in some of the known results. |
| format | Article |
| id | doaj-art-20105ed14f384d74998161238872982d |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-20105ed14f384d74998161238872982d2025-02-03T01:11:27ZengWileyJournal of Mathematics2314-46292314-47852016-01-01201610.1155/2016/90486719048671Applications of Cesàro Submethod to Trigonometric Approximation of Signals (Functions) Belonging to Class Lip(α,p) in Lp-NormM. L. Mittal0Mradul Veer Singh1Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, IndiaDepartment of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, IndiaWe prove two Theorems on approximation of functions belonging to Lipschitz class Lip(α,p) in Lp-norm using Cesàro submethod. Further we discuss few corollaries of our Theorems and compare them with the existing results. We also note that our results give sharper estimates than the estimates in some of the known results.http://dx.doi.org/10.1155/2016/9048671 |
| spellingShingle | M. L. Mittal Mradul Veer Singh Applications of Cesàro Submethod to Trigonometric Approximation of Signals (Functions) Belonging to Class Lip(α,p) in Lp-Norm Journal of Mathematics |
| title | Applications of Cesàro Submethod to Trigonometric Approximation of Signals (Functions) Belonging to Class Lip(α,p) in Lp-Norm |
| title_full | Applications of Cesàro Submethod to Trigonometric Approximation of Signals (Functions) Belonging to Class Lip(α,p) in Lp-Norm |
| title_fullStr | Applications of Cesàro Submethod to Trigonometric Approximation of Signals (Functions) Belonging to Class Lip(α,p) in Lp-Norm |
| title_full_unstemmed | Applications of Cesàro Submethod to Trigonometric Approximation of Signals (Functions) Belonging to Class Lip(α,p) in Lp-Norm |
| title_short | Applications of Cesàro Submethod to Trigonometric Approximation of Signals (Functions) Belonging to Class Lip(α,p) in Lp-Norm |
| title_sort | applications of cesaro submethod to trigonometric approximation of signals functions belonging to class lip α p in lp norm |
| url | http://dx.doi.org/10.1155/2016/9048671 |
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