科研之友
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摘要
There are many versions of inequalities due to Hilbert and Hardy. Many extensions to nontrivial cases are now available. We present and derive a new Hilbert-type inequality for both sums and integrals. In our setup, the matrix elements associated with the quadratic form are ratios of differences of powers of an increasing function. This inequality contains some known results as special cases.
- 出版日期2015-10
