Certain Hermite-Hadamard type inequalities via generalized k-fractional integrals

Abstract

Abstract Some Hermite-Hadamard type inequalities for generalized k-fractional integrals (which are also named ( k , s ) $(k,s)$ -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.

Keywords

• Hermite-Hadamard inequality
• generalized k-fractional integral
• ( k , s ) $(k, s)$ -fractional integral
• ( k , s ) $(k, s)$ -Riemann-Liouville fractional integral