Extended Grüss type inequalities for generalized (l, m)-fractional integrals with applications

The main motivation of this paper is to establish certain Grüss type inequalities by using the new generalized (l, m)-Riemman-Liouville fractional integrals. We obtain the related results for the geometric, arithmetic, and harmonic (l, m)-Riemman-Liouville fractional integrals as special cases of our general results. Also, we apply the Young’s and Cauchy-Schwarz inequalities to obtain the variety of some related estimates. Our findings have potential applications in various fields of mathematical analysis and its related disciplines.