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L1-convergence of Fourier series
| Content Provider | Scilit |
|---|---|
| Author | Chen, Chang-Pao |
| Copyright Year | 1986 |
| Description | For an integrable function f on T, we introduce a modified partial sum and establish its $L^{1}$-convergence property. The relation between the sum and $L^{1}$-convergence classes is also established. As a corollary, a new $L^{1}$-convergence class is obtained. It is shown that this class covers all known $L^{1}$-convergence classes. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/D765892FB9772FF6CE04D43647BB771D/S144678870003384Xa.pdf/div-class-title-span-class-italic-l-span-span-class-sup-1-span-convergence-of-fourier-series-div.pdf |
| Ending Page | 390 |
| Page Count | 15 |
| Starting Page | 376 |
| ISSN | 02636115 |
| DOI | 10.1017/s144678870003384x |
| Journal | Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics |
| Issue Number | 3 |
| Volume Number | 41 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1986-12-01 |
| Access Restriction | Open |
| Subject Keyword | Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics Applied Mathematics 42 A 20 42 A 32 convergence of Fourier Series convergence Classes. |
| Content Type | Text |
| Resource Type | Article |
