@article{Kashuri_Liko_Dragomir_2018, title={Some new Gauss-Jacobi and Hermite-Hadamard type inequalities concerning $(n+1)$-differentiable generalized $((h_{1},h_{2});(\eta_{1},\eta_{2}))$-convex mappings}, volume={49}, url={https://journals.math.tku.edu.tw/index.php/TKJM/article/view/2772}, DOI={10.5556/j.tkjm.49.2018.2772}, abstractNote={In this article, we first introduced a new class of generalized $((h_{1},h_{2});(\eta_{1},\eta_{2}))$-convex mappings and two interesting lemmas regarding Gauss-Jacobi and\\ Hermite-Hadamard type integral inequalities. By using the notion of generalized\\ $((h_{1},h_{2});(\eta_{1},\eta_{2}))$-convexity and the first lemma as an auxiliary result, some new estimates with respect to Gauss-Jacobi type integral inequalities are established. Also, using the second lemma, some new estimates with respect to Hermite-Hadamard type integral inequalities via Caputo $k$-fractional derivatives are obtained. It is pointed out that some new special cases can be deduced from main results of the article.}, number={4}, journal={Tamkang Journal of Mathematics}, author={Kashuri, Artion and Liko, Rozana and Dragomir, Silvestru Sever}, year={2018}, month={Dec.}, pages={317-337} }