RESULTS ON THE HADAMARD-SIMPSON'S INEQUALITIES

Abstract

It is well known that inequalities enable us to analyze and solve complex problemswith precision and efficiency. The inequalities provide powerful tools for establishing bounds,optimizing solutions, and deepening our understanding of mathematical concepts, paving theway for advancements in areas such as optimization, analysis, and probability theory. In thispaper, we present some properties for Hadamard-Simpsons type inequalities in the classic integral and Riemann-Liouville fractional integral. We use the convexity of the given function and its first derivative.