Some new inequalities involving \(\kappa \)-fractional integral for certain classes of functions and their applications (Q2179423)

Summary: In this article, we present several new inequalities involving the \(\kappa\)-fractional integral for the integrable function \(\mathcal{F}\) which satisfies one of the following conditions: (a) \(|\mathcal{F}|^q\) is preinvex for some \(q>1\); (b) \(\mathcal{F}'\) is bounded; (c) \(\mathcal{F}'\) is a Lipschitz function. As applications, we establish new inequalities for the weighted arithmetic and generalized logarithmic means.