Certain Hermite-Hadamard type inequalities via generalizedk-fractional integrals.
Some Hermite-Hadamard type inequalities for generalizedk-fractional integrals (which are also named [Formula: see text]-Riemann-Liouville fractional integrals) are obtained for a fractional integral, and an important identity is established. Also, by using the obtained identity, we get a Hermite-Hadamard type inequality.
Department of Mathematics, Anand International College of Engineering, Jaipur, 303012 India.
Praveen
P
Agarwal
Department of Mathematics, King Saud University, Riyadh, 11451 Kingdom of Saudi Arabia.
Mohamed
M
Jleli
Department of Mathematics, Faculty of Arts and Sciences, Ordu University, Ordu, 52200 Turkey.
Muharrem
M
Tomar
Hermite-Hadamard inequality; [Formula: see text]-Riemann-Liouville fractional integral; [Formula: see text]-fractional integral; generalized k-fractional integral