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

Meftah Badreddine, Lakhdari Abdelghani, Saleh Wedad

Journal of Applied Analysis

2023

Vol. 29, nr 2

341--346

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 Radautype 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.