Gao, Mingzhe; Hsu, L. C. A survey of various refinements and generalizations of Hilbert’s inequalities. (English) Zbl 1079.26017 J. Math. Res. Expo. 25, No. 2, 227-243 (2005). In this paper, a survey of some recent refinements and generalizations of Hilbert’s inequalities in the last one and half decades are presented. In addition, many open problems on Hilbert’s inequalities are posed. Reviewer: James Adedayo Oguntuase (Abeokuta) Cited in 1 ReviewCited in 9 Documents MSC: 26D15 Inequalities for sums, series and integrals Keywords:Hilbert inequalities; Hardy-Hilbert inequalities; weight function; Gram matrix; double series PDFBibTeX XMLCite \textit{M. Gao} and \textit{L. C. Hsu}, J. Math. Res. Expo. 25, No. 2, 227--243 (2005; Zbl 1079.26017)