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    Öğe
    New trapezoid type inequalities for differentiable functions
    (Univ Nis, 2023) Yavuz, Melike; Budak, Hüseyin; Bas, Umut
    In this paper, we first establish that an identity involving generalized fractional integrals for twice differentiable functions. By using this equality, we obtain some trapezoid type inequalities for the functions whose second derivatives in absolute value are convex.
  • Küçük Resim
    Öğe
    On some new generalized fractional inequalities for twice differentiable functions
    (Springer Heidelberg, 2022) Budak, Hüseyin; Yavuz, Melike; Kara, Hasan
    In this paper, we establish an identity involving Sarikaya fractional integrals for twice differentiable functions. We obtain some new generalized fractional inequalities for the functions whose second derivatives in absolute value are convex by utilizing obtained equality. Utilizing the new inequalities obtained, some new inequalities for Riemann-Liouville fractional integrals and k-Riemann-Liouville fractional integrals are obtained. In addition, some of these results generalize ones obtained in earlier works.