Title of article :
INEQUALITIES GENERATED WITH RIEMANN-LIOUVILLE FRACTIONAL INTEGRAL OPERATOR
Author/Authors :
GURB UZ, M Department of Mathematics and Science Education - Faculty of Education - Agrı Ibrahim Cecen University - Agrı, Turkey , OZT URK, O Institute of Science and Technology - Agrı Ibrahim Cecen University - Agrı, Turkey
Abstract :
The primary objective of this study is to handle new generalized midpoint,
trapezoid and Simpson’s type inequalities with the help of Riemann-Liouville fractional
integral operator. In order to do this, a new fractional integral identity is obtained. Then
by using this identity, some inequalities for the class of functions whose derivatives in
absolute values at certain powers are convex are derived. It is observed that the obtained
inequalities are generalizations of some results exist in the literature.
Keywords :
Riemann-Liouville fractional integrals , Hadamard type inequalities , Simpson’s inequality , convex functions
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
