TY - JOUR
JF - IJMSI
JO - IJMSI
VL - 18
IS - 1
PY - 2023
Y1 - 2023/4/01
TI - On Fejér Type Inequalities for (η1,η2)-Convex Functions
TT -
N2 - In this paper we find a characterization type result for (η1,η2)-convex functions. The Fejér integral inequality related to (η1,η2)-convex functions is obtained as a generalization of Fejér inequality related to the preinvex and η-convex functions. Also some Fejér trapezoid and midpoint type inequalities are given in the case that the absolute value of the derivative of considered function is (η1,η2)-convex.
SP - 193
EP - 210
AU - Rostamian Delavar, M.
AU - Mohammadi Aslani, S.
AU - Vaezpour, S. M.
AD - Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran
KW - Generalized convex function
KW - Fejér inequality
KW - Trapezoid inequality
KW - Mid-point inequality.
UR - http://ijmsi.ir/article-1-1539-en.html
DO - 10.52547/ijmsi.18.1.193
ER -