TY - JOUR T1 - Some Inequalities Related to $\eta -$Strongly Convex Functions AU - Kılınç, Seda AU - Akkurt, Abdullah AU - Yıldırım, Hüseyin PY - 2018 DA - December JF - Turkish Journal of Mathematics and Computer Science JO - TJMCS PB - Matematikçiler Derneği WT - DergiPark SN - 2148-1830 SP - 207 EP - 214 VL - 10 LA - en AB - The aim of this paper, is to establish some new inequalities ofHermite-Hadamard type by using $\eta -$strongly convex function. Moreover,we also consider their relevances for other related known results. The aim of this paper, is to establish some new inequalities ofHermite-Hadamard type by using$\eta -$strongly convex function. Moreover, wealso consider their relevances for other related known results. KW - Hermite-Hadamard inequality KW - $\eta -$convex fuction KW - Riemann-Liouville CR - Aleman, A., On some generalizations of convex sets and convex functions, Anal. Numer.Theor. Approx., 14(1985), 1–6. CR - Bector, C.R., Singh, C., B-Vex functions, J. Optim. Theory. Appl., 71(2)(1991), 237–253. CR - De, B., . . . netti, Sulla strati. . . cazioni convesse, Ann. Math. Pura. Appl., 30(1949), 173–183. CR - Dragomir, S.S., Inequalities of Hermite-Hadamard type for $\lambda$ -convex functions on linear spaces, Preprint RGMIA Res. Rep. Coll. 17(2014), Art. 13, pp.18. [Online http://rgmia.org/papers/v17/v17a13.pdf]. CR - Fejer, L., Uberdie fourierreihen, II, Math. Naturwise. Anz Ungar. Akad. Wiss., 24(1906), 369–390. CR - Hanson, M.A., On sufficiency of the Kuhn-Tucker conditions, J. Math. Anal. Appl., 80(1981), 545–550. CR - Hyers, D.H., Ulam, S.M., Approximately convex functions, Proc. Amer. Math. Soc., 3(1952), 821–828. CR - Hsu, I., Kuller, R.G., Convexity of vector-valued functions, Proc. Amer. Math. Soc., 46(1974), 363–366. CR - Jensen, J.L.W.V., On konvexe funktioner og uligheder mellem middlvaerdier, Nyt. Tidsskr. Math. B., 16(1905), 49-69. CR - Luc, D.T., Theory of Vector Optimization, Springer-Verlag, Berlin, 1989. CR - Mangasarian, O.L., Pseudo-Convex functions, SIAM Journal on Control, 3(1965), 281–290. CR - Özdemir, M.E., Avci, M., Kavurmaci, H., Hermite-Hadamard-type inequalities via ( $\alpha $;m)-convexity, Comput. Math. Appl., 61(9)(2011), 2614–2620. CR - Peˇcari´c, J.E., Proschan, F., Tong, Y.L., Convex functions, Partial Orderings and Statistical Applications, Academic Press, Boston, 1992. CR - Polyak, B.T., Existence theorems and convergence of minimizing sequences in extremum problems with restrictions, Soviet Math. Dokl., 7(1966) 72–75. CR - Rajba, T., On strong delta-convexity and Hermite-Hadamard type inequalities for delta convex functions of higher order, Math. Inequal. Appl., 18(1)(2015), 267–293. CR - Robert, A.W., Varbeg, D.E., Convex Functions, Academic Press, 1973. UR - https://dergipark.org.tr/en/pub/tjmcs/issue//452143 L1 - https://dergipark.org.tr/en/download/article-file/615447 ER -