Abstract
In this article, an identity is proved for the case of twice-differentiable functions whose second derivatives in absolute value are convex. With the help of this equality, several corrected Euler–Maclaurin-type inequalities are established using the Riemann–Liouville fractional integrals. Several important fractional inequalities are obtained by taking advantage of the convexity, the Hölder inequality, and the power mean inequality. Furthermore, the results are presented using special cases of obtained theories.
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Hezenci, F. Fractional inequalities of corrected Euler–Maclaurin-type for twice-differentiable functions. Comp. Appl. Math. 42, 92 (2023). https://doi.org/10.1007/s40314-023-02235-8
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DOI: https://doi.org/10.1007/s40314-023-02235-8