Izvorni znanstveni članak
Necessary and sufficient condition for $L^1$-convergence of cosine trigonometric series with δ-quasimonotone coefficients
Ž. Tomovski
Sažetak
For a cosine trigonometric series with coefficients in the class
S_p(δ), 1 < p ≤ 2, the necessary and sufficient condition for
L^1 -convergence is obtained.
Ključne riječi
δ-quasi-monotone sequence; cosine trigonometric series; Fourier series; Dirichlet kernel; Abel's transformation; Holder inequality; Hausdorff-Young inequality; L^1-convergence of Fourier series
Hrčak ID:
875
URI
Datum izdavanja:
11.12.1999.
Posjeta: 1.117 *