Degree of Approximation of Functions f~∈Hω Class by the (Np·E1) Means in the Hölder Metric
A new estimate for the degree of approximation of a function f˜∈Hω class by (Np·E1) means of its Fourier series has been determined. Here, we extend the results of Singh and Mahajan (2008) which in turn generalize the result of Lal and Yadav (2001). Some corollaries have also been deduced from our m...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2014/837408 |
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| author | Vishnu Narayan Mishra Kejal Khatri |
| author_facet | Vishnu Narayan Mishra Kejal Khatri |
| author_sort | Vishnu Narayan Mishra |
| collection | DOAJ |
| description | A new estimate for the degree of approximation of a function f˜∈Hω class by (Np·E1) means of its Fourier series has been determined. Here, we extend the results of Singh and Mahajan (2008) which in turn generalize the result of Lal and Yadav (2001). Some corollaries have also been deduced from our main theorem. |
| format | Article |
| id | doaj-art-671b80b04da845979bf52bdb65701e69 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-671b80b04da845979bf52bdb65701e692025-02-03T06:42:25ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252014-01-01201410.1155/2014/837408837408Degree of Approximation of Functions f~∈Hω Class by the (Np·E1) Means in the Hölder MetricVishnu Narayan Mishra0Kejal Khatri1Applied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat, Gujarat 395 007, IndiaApplied Mathematics and Humanities Department, Sardar Vallabhbhai National Institute of Technology, Ichchhanath Mahadev Dumas Road, Surat, Gujarat 395 007, IndiaA new estimate for the degree of approximation of a function f˜∈Hω class by (Np·E1) means of its Fourier series has been determined. Here, we extend the results of Singh and Mahajan (2008) which in turn generalize the result of Lal and Yadav (2001). Some corollaries have also been deduced from our main theorem.http://dx.doi.org/10.1155/2014/837408 |
| spellingShingle | Vishnu Narayan Mishra Kejal Khatri Degree of Approximation of Functions f~∈Hω Class by the (Np·E1) Means in the Hölder Metric International Journal of Mathematics and Mathematical Sciences |
| title | Degree of Approximation of Functions f~∈Hω Class by the (Np·E1) Means in the Hölder Metric |
| title_full | Degree of Approximation of Functions f~∈Hω Class by the (Np·E1) Means in the Hölder Metric |
| title_fullStr | Degree of Approximation of Functions f~∈Hω Class by the (Np·E1) Means in the Hölder Metric |
| title_full_unstemmed | Degree of Approximation of Functions f~∈Hω Class by the (Np·E1) Means in the Hölder Metric |
| title_short | Degree of Approximation of Functions f~∈Hω Class by the (Np·E1) Means in the Hölder Metric |
| title_sort | degree of approximation of functions f ∈hω class by the np·e1 means in the holder metric |
| url | http://dx.doi.org/10.1155/2014/837408 |
| work_keys_str_mv | AT vishnunarayanmishra degreeofapproximationoffunctionsfhōclassbythenpe1meansintheholdermetric AT kejalkhatri degreeofapproximationoffunctionsfhōclassbythenpe1meansintheholdermetric |