Zeng, Fanfu; Gao, Mingzhe; He, Leping On the symmetric Hilbert’s inequality and its applications. (English) Zbl 1013.26012 Math. Inequal. Appl. 6, No. 1, 45-53 (2003). Summary: It is shown that some improvements of Hilbert’s inequality for double series can be established by means of Schwarz’s inequality; Hilbert-Ingham’s inequality can be sharpened, Hardy-Littlewood’s inequality and Fejér-Riesz’s inequality can be refined. Cited in 1 Document MSC: 26D15 Inequalities for sums, series and integrals Keywords:absolute convergence; decomposition theorem; Blaschke function; Hilbert’s inequality; double series; Schwarz’s inequality; Hilbert-Ingham’s inequality; Hardy-Littlewood’s inequality; Fejér-Riesz’s inequality PDFBibTeX XMLCite \textit{F. Zeng} et al., Math. Inequal. Appl. 6, No. 1, 45--53 (2003; Zbl 1013.26012)