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 -