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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.