Ekinci, AlperAkdemir, Ahmet Ocak2023-10-202023-10-202019Ekinci, A. vd. (2019). "Some new integral inequalities for functions whose derivatives of absolute values are convex and concave". TWMS Journal Of Pure And Applied Mathematics,10(2), 212-224.2076-25852219-1259https://doi.org/10.12691/tjant-7-3-3http://pubs.sciepub.com/tjant/7/3/3/index.htmlhttp://hdl.handle.net/11452/34471In this paper, we prove some new inequalities for the functions whose derivatives' absolute values are convex and concave by dividing the interval [a, b] to n + 1 equal even sub-intervals. We obtain some new results involving intermediate values of vertical bar f'vertical bar in [a, b] by using some classical inequalities like Hermite-Hadamard, Holder and Power-Mean.eninfo:eu-repo/semantics/closedAccessConvex functionsConcave functionsHermite-hadamard inequalityPower-mean inequalityMathematicsSome new integral inequalities for functions whose derivatives of absolute values are convex and concaveArticle000493787200006212224102Mathematics, appliedMathematics