Abstract In the article, we present a new ( p , q ) (p,q) -integral identity for the first-order ( p , q ) (p,q) -differentiable functions and establish several new ( p , q ) (p,q) -quantum error estimations for various integral inequalities via ( α , m ) (\alpha ,m) -convexity. We also compare our results with the previously known results and provide two examples to show the superiority of our obtained results.

中文翻译：

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通过 (α, m)-凸映射对不同类型的积分不等式进行新的 (p, q)-估计

摘要 在文章中，我们为一阶 ( p , q ) (p,q) - 可微函数提出了一个新的 ( p , q ) (p,q) - 积分恒等式，并建立了几个新的 ( p , q ) ( p,q) - 通过 ( α , m ) (\alpha , m) -凸性对各种积分不等式进行量子误差估计。我们还将我们的结果与之前已知的结果进行了比较，并提供了两个例子来展示我们获得的结果的优越性。