In this study, we generalize the converse of Hardy and Copson inequalities, which are known as Bennett and Leindler type inequalities, for nabla time scale calculus. This generalization allows us not only to unify all the related results existing in the literature for an arbitrary time scale but also to obtain new results which are analogous to the results of the delta time scale calculus.

中文翻译：

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Nabla时间尺度微积分的Bennett–Leindler型不等式

在这项研究中，我们对Nabla时间尺度演算推广了Hardy和Copson不等式的逆，即Bennett和Leindler型不等式。这种概括使我们不仅可以统一任意时间尺度上文献中存在的所有相关结果，而且还可以获得类似于增量时间尺度微积分结果的新结果。