TY - JOUR ID - 701393 TI - Hermite-Hadamard, Trapezoid and Midpoint Type Inequalities Involving Generalized Fractional Integrals for Convex Functions JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Kara, Hasan AU - Erden, Samet AU - Budak, Huseyin AD - Department of Mathematics, Faculty of Science and Arts, Düzce University, Düzce-Türkiye. AD - Department of Mathematics, Faculty of Science, Bartın-Türkiye. Y1 - 2023 PY - 2023 VL - 20 IS - 2 SP - 85 EP - 107 KW - Hermite-Hadamard inequalities KW - Generalized fractional integrals KW - Convex functions DO - 10.22130/scma.2022.552775.1102 N2 - We first construct new Hermite-Hadamard type inequalities which include generalized fractional integrals for convex functions by using an operator which generates some significant fractional integrals such as Riemann-Liouville fractional and the Hadamard fractional integrals. Afterwards, Trapezoid and Midpoint type results involving generalized fractional integrals for functions whose the derivatives in modulus and their certain powers are convex are established. We also recapture the previous results in the particular situations of the inequalities which are given in the earlier works. UR - https://scma.maragheh.ac.ir/article_701393.html L1 - https://scma.maragheh.ac.ir/article_701393_ec91ff79aaabf4c7ab36e47b9de87e48.pdf ER -