A NEW EXTENSION ON THE HARDY-HILBERT INEQUALITY Zhou, Yu; Gao, Mingzhe;
A new Hardy-Hilbert type integral inequality for double series with weights can be established by introducing a parameter (with >) and a weight function of the form (with > 1). And the constant factors of new inequalities established are proved to be the best possible. In particular, for case = 2, a new Hilbert type inequality is obtained. As applications, an equivalent form is considered.
Hardy-Hilbert type inequality;double series;Euler-Maclaurin summation formula;weight function;
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