Gruss type integral inequalities for generalized Riemann-Liouville k-fractional integrals

Integral inequalities are considered to be important as they have many applications described by a number of researchers. Moreover, the theory of fractional calculus is used in solving differential, integral, and integro-differential equations and also in various other problems involving special functions. In this research article, we present the improved version of generalizations for a Gruss type integral inequality by taking a generalized Riemann-Liouville fractional integral in terms of a new parameter k > 0. We contribute in the on going research by providing mathematical results that can be verified easily.