On inequalities of Hilbert's type

By Yongjin Li, Bing He. Bulletin of the Australian Mathematical Society, 2007

73 citations recorded by the source corpus.

By introducing the function 1/(min{x, y}), we establish several new inequalities similar to Hilbert's type inequality. Moreover, some further unification of Hardy-Hilbert's and Hardy-Hilbert's type integral inequality and its equivalent form with the best constant factor are proved, which contain the classic Hilbert's inequality as special case.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/5045a43ae65bc1ff25a2b820bbc7fc485ed4a4b7

Citations in the corpus

• A HALF-DISCRETE HILBERT-TYPE INEQUALITY WITH A GENERAL HOMOGENEOUS KERNEL OF DEGREE 0 (2012, unknown): “For some recent results in the above mentioned directions, the reader is referred, for example, to papers [1], [2], [4], [6], [7], [8], [11], [14], [16], [21].”