Abstract
In this article, it is shown that some new extensions on the Hardy-Hilbert inequality related to exponent function can be established by introducing a parameter λ (1 − q 1) and two exponent functions Aa x (A > 0,a > 1) and Bb y (B > 0,b > 1). In particular, for the case p = 2, an extension of the Hilbert integral inequality is built. As an application, a new Hardy-Littlewood integral inequality is given.
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