Approximation of functions in the generalized Zygmund class using Hausdorff means
Abstract In this paper we investigate the degree of approximation of a function belonging to the generalized Zygmund class Z p ( ω ) $Z_{p}^{(\omega)}$ ( p ≥ 1 $p \ge1$ ) by Hausdorff means of its Fourier series. We also deduce a corollary and mention a few applications of our main results.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2017-05-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-017-1361-8 |
| Summary: | Abstract In this paper we investigate the degree of approximation of a function belonging to the generalized Zygmund class Z p ( ω ) $Z_{p}^{(\omega)}$ ( p ≥ 1 $p \ge1$ ) by Hausdorff means of its Fourier series. We also deduce a corollary and mention a few applications of our main results. |
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| ISSN: | 1029-242X |