Some Novel Fractional Milne-type inequalities for twice differentiable $s-$convex functions in the second sense

Abstract

In this paper, a special identity for twice differentiable functions, which is available in the literature, is utilized. By combining this identity with Riemann-Liouville fractional integrals, various fractional Milne-type inequalities are obtained for functions whose second derivatives in absolute value are s-convex in the second sense. Moreover, Hölder and Young inequalities are used to prove the different and original results. These approaches contribute to the analysis of s-convex functions and offer new perspectives in the field of fractional analysis.