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Öğe Hermite-Hadamard type Inequality for phi(h)-convex stochastic processes(Amer Inst Physics, 2016) Sarıkaya, Mehmet Zeki; Kiriş, Mehmet Eyüp; Çelik, NuriThe main aim of the present paper is to introduce phi(h)-convex stochastic processes and we investigate main properties of these mappings. Moreover, we prove the Hadamard-type inequalities for phi(h)-convex stochastic processes. We also give some new general inequalities for phi(h)-convex stochastic processes.Öğe (k, s)-Riemann-Liouville fractional integral and applications(Hacettepe Univ, Fac Sci, 2016) Sarıkaya, Mehmet Zeki; Dahmani, Zoubir; Kiriş, Mehmet Eyüp; Ahmad, FarooqIn this paper, we introduce a new approach on fractional integration, which generalizes the Riemann-Liouville fractional integral. We prove some properties for this new approach. We also establish some new integral inequalities using this new fractional integration.Öğe On Hermite-Hadamard-Fejer-type inequalities for co-ordinated trigonometrically rho-convex functions(World Scientific Publ Co Pte Ltd, 2023) Kara, Hasan; Budak, Hüseyin; Kiriş, Mehmet EyüpIn this paper, we first obtain Hermite-Hadamard-Fejer inequalities for co-ordinated trigonometrically rho-convex functions. By using these obtained inequalities, we give some inequalities involving Riemann-Liouville fractional integrals. The inequalities presented in this study provide generalizations of some results given in earlier works.Öğe On Ostrowski Type Inequalities and Cebysev Type Inequalities with Applications(Univ Nis, Fac Sci Math, 2015) Kiriş, Mehmet Eyüp; Sarıkaya, Mehmet ZekiIn this paper, we obtain some new Ostrowski type inequalities and Cebysev type inequalities for functions whose second derivatives absolute value are convex and second derivatives belongs to L-p spaces. Applications to a composite quadrature rule, to probability density functions, and to special means are also given.Öğe On some generalized integral inequalities for phi-convex functions(Univ Babes-Bolyai, 2015) Sarıkaya, Mehmet Zeki; Büyükeken, Meltem; Kiriş, Mehmet EyüpThe main goal of the paper is to state and prove some new general inequalities for phi-convex function.Öğe On Some Generalized Integral Inequalities for Riemann-Liouville Fractional Integrals(Univ Nis, Fac Sci Math, 2015) Sarıkaya, Mehmet Zeki; Filiz, Hatice; Kiriş, Mehmet EyüpIn this paper, we give a generalized Montogomery identities for the Riemann-Liouville fractional integrals. We also use this Montogomery identities to establish some new Ostrowski type integral inequalities.Öğe On some inequalities related to fractional Hermite-Hadamard type for differentiable convex functions(Univ Craiova, 2021) Budak, Hüseyin; Kara, Hasan; Ali, Muhammad Aamir; Kiriş, Mehmet EyüpIn this paper, we shall offer some new inequalities related to Hermite-Hadamard inequalities for differentiable convex functions involving generalized fractional integrals. Some of our new results are the extension of the previously established results.Öğe SOME NEW INEQUALITIES OF HERMITE-HADAMARD TYPE FOR s- CONVEX FUNCTIONS(Univ Miskolc Inst Math, 2015) Sarıkaya, Mehmet Zeki; Kiriş, Mehmet EyüpSome new results related of the left-hand side of the Hermite-Hadamard type inequalities for the class of mappings whose second derivatives at certain powers are s-convex in the second sense are established. Also, some applications to special means of real numbers are provided.Öğe Some new inequalities of hermite-hadamard type for s-convex functions(University of Miskolc, 2015) Sarıkaya, Mehmet Zeki; Kiriş, Mehmet EyüpSome new results related of the left-hand side of the Hermite-Hadamard type inequalities for the class of mappings whose second derivatives at certain powers are s-convex in the second sense are established. Also, some applications to special means of real numbers are provided.