KASHURİ, ArtionLİKO, Rozana2021-11-032021-11-032019-02-01https://doi.org/10.31801/cfsuasmas.501430http://hdl.handle.net/20.500.12575/75856In this article, we first presented some integral inequalities for Gauss-Jacobi type quadrature formula involving generalized relative semi-(r;m,p,q,h₁,h₂)-preinvex mappings. And then, a new identity concerning (n+1)-differentiable mappings defined on m-invex set via Caputo k-fractional derivatives is derived. By using the notion of generalized relative semi-(r;m,p,q,h₁,h₂)-preinvexity and the obtained identity as an auxiliary result, some new estimates with respect to Ostrowski type inequalities via Caputo k-fractional derivatives are established. It is pointed out that some new special cases can be deduced from main results of the article.enOstrowski type inequalityHölder's inequalityMinkowski inequalityArticle6819739962618-6470