On the local property of \(\varphi-| \overline {N},p_ n;\delta| _ k\) summability of factored Fourier series. (English) Zbl 0886.40004
Summary: In this paper a theorem on the local property of \(\varphi- |\overline N, p_n; \delta |_k\) summability of factored Fourier series, which generalizes a result of H. Bor [J. Math. Anal. Appl. 163, No. 1, 220-226 (1992; Zbl 0764.42002)], has been proved.
MSC:
| 40D15 | Convergence factors and summability factors |
| 42A20 | Convergence and absolute convergence of Fourier and trigonometric series |
| 40F05 | Absolute and strong summability |
