This paper gives a new generalization of Hilbert's inequality with a best constant factor involving the β function. An applications, we consider the equivalent form and some particular results.
基金Supported by the NSF of Guangdong Institutions of Higher Learning, College and University(0177).
文摘This paper gives a new generalization of Hilbert's inequality with a best constant factor involving the β function. An applications, we consider the equivalent form and some particular results.