A Fractional Version of Corrected Dual-Simpson's Type Inequality via s−convex Function with Applications

Convexity plays a crucial role in mathematical analysis, offering profound insights into the behavior of functions and geometric shapes. Fractional integral operators generalize the classical concept of integration to non-integer orders. In this paper, we establish a new identity by using the Caputo--Fabrizio fractional integral operator. Then by using this new identity, we obtain the corrected dual Simpson's type inequalities for s−convex functions. By employing the well-known integral inequalities such as the Hölder's inequality and power-mean inequality, we obtain new error estimates. Furthermore, we discuss the applications to some special means and quadrature formula.