Hilbert's inequalities and their reverses

By Mario Krnic, Josip E. Pecaric. Publicationes mathematicae (Debrecen), 2005

75 citations recorded by the source corpus.

In this paper, we make some further generalizations of well known Hilbert's inequality and its equivalent form in both integral and discrete case. A reverses of Hilbert's inequality are also given in integral case. Several other results of this type in recent years, follows as a special case of our results.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/a98a0af019560537efb706e25d2bd2f95681161c

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].”