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  • MakaleAçık Erişim2025Scopus SJRQ2
    Some novel fractional Milne-type inequalities for twice differentiable s−convex functions in the second sense

    Aslan, Sinan; Demir, Ümit; 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, 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.

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