<p>Based on the fundamental concepts of (<i>p</i>, <i>q</i>)-calculus, this paper introduces a key lemma that successfully generalizes the classical Anderson inequality to the (<i>p</i>, <i>q</i>)-calculus framework. We further investigate the (<i>p</i>, <i>q</i>)-Anderson-type inequality for <i>s</i>-Breckner convex functions, which extends the classical notion of convexity. Numerical experiments are provided to validate the theoretical results, demonstrating the correctness and applicability of the proposed inequalities. The findings not only enrich the theoretical system of (<i>p</i>, <i>q</i>)-calculus but also offer new analytical tools for studying generalized convexity and related integral inequalities.</p>