It is shown that the Hilbert inequality for double series can be improved by introducing the positive real number where and . The coefficient of the classical Hilbert inequality is proved not to be the best possible if or is finite. A similar result for the Hubert integral inequality is also proved.
Cite this article
Gao Mingzhe, On the Hubert Inequality . Z. Anal. Anwend. 18 (1999), no. 4, pp. 1117–1122DOI 10.4171/ZAA/932