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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.












