Аннотация:
A generalization of Hardy–Hilbert's integral inequality was given by B. Yang in [18]. The main purpose of the present article is to generalize the inequality. As applications, the reverse, the equivalent form of the inequality, some particular results and the generalization of Hardy–Littlewood inequalities are derived.
Ключевые слова и фразы:Hardy–Hilbert's integral inequality, $\beta$-function, Hölder's inequality, Hardy–Littlewood inequality.