Degree of approximation of signals in certain Lipschitz classes by the Zweier-Euler product summability method of Fourier series. (English) Zbl 1471.42003
Summary: The paper introduces the notion of a new product summability method, which is obtained by superimposing the Zweier method on the Euler method. This method is applied to obtain the degree of approximation of Fourier series of signals (functions) belonging to certain Lipschitz classes.
MSC:
| 42A10 | Trigonometric approximation |
| 42A24 | Summability and absolute summability of Fourier and trigonometric series |
| 40G05 | Cesàro, Euler, Nörlund and Hausdorff methods |
| 94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |
| 41A25 | Rate of convergence, degree of approximation |
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