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Some novel fractional Milne-type inequalities for twice differentiable s-convex functions in the second sense
(Univ Nis, Fac Sci Math, 2025) Aslan, Sinan; Demir, Umit; Karaduman, Ebru; Akdemir, Ahmet Ocak
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, Holder 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.