Fractal and Fractional (Oct 2023)
Fractional Simpson-like Inequalities with Parameter for Differential <i>s</i>-<i>tgs</i>-Convex Functions
Abstract
In this paper, we first prove a new parameterized identity. Based on this identity we establish some parametrized Simpson-like type symmetric inequalities, for functions whose first derivatives are s-tgs-convex via Reimann–Liouville frational operators. Some special cases are discussed. Applications to numerical quadrature are provided.
Keywords