Butt, Saad IhsanOzdemir, M. EminUmar, Muhammad2024-06-242024-06-242021-09-011793-5571https://doi.org/10.1142/S1793557121501503https://hdl.handle.net/11452/42293In this paper, we establish several new integral inequalities involving Caputo k-fractional derivatives for eta-quasi-convex and s-Godunova-Levin convex. In order to obtain our results, we use some classical inequalities such as Holder's inequality and its power mean and weighted versions.eninfo:eu-repo/semantics/openAccessConvex functionEta-quasi-convexS-convexS-godunova-levin typeCaputo k-fractional integralHermite-hadamard inequalityHolder inequalityWeighted holder inequalityPower mean inequalityScience & technologyPhysical sciencesMathematicsMathematicsSeveral new integral inequalities via caputo k-fractional derivative operatorsArticle000692043300011140910.1142/S1793557121501503