Аннотация:
The main objective of this paper is to establish several new integral inequalities including $k$-Riemann–Liouville fractional integrals for convex, $s$-Godunova–Levin convex functions, quasi-convex, $\eta$-quasi-convex. In order to obtain our results, we have used classical inequalities as Hölder inequality, Power mean inequality and Weighted Hölder inequality. We also give some applications.
Ключевые слова:$\eta$-quasi-convex, $s$-Godunova–Levin type, $k$-Riemann–Liouville fractional integral, Hölder inequality, weighted Hölder inequality, power mean inequality.