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Convexity is a fundamental concept in analysis. Over the past few decades, many significant error bounds have been established for various quadrature rules using different types of convexity. This paper focuses on the Gauss–Radau quadrature formula. Initially, we introduce a novel identity related to 2-point left Radau-type rule. Next, we derive several integral inequalities for functions whose first derivatives are  s -convex in the second sense. Finally, we present applications to special means to demonstrate the effectiveness of our results.

2-point left Radau-type inequalities via s -convexity