In this work, by using an integral identity together with both the Hölder and the Power-mean integral inequalities we establish several new inequalities for n-times differentiable convex and concave mappings.

In this study, s-convex stochastic processes in the second sense are presented and some well-known results concerning s-convex functions are extended to s-convex stochastic processes in the second sense. Also, we investigate relation between s-convex stochastic processes in the second sense and convex stochastic processes.

In this paper, we introduce some new concepts to the field of probability theory: (k, s)-RiemannLiouville fractional expectation and variance functions. Some generalized integral inequalities are established for (k, s)-Riemann-Liouville expectation and variance functions. Mathematics Subject Classification

In this paper, firstly the authors establish Hermite-Hadamard inequality for p-convex functions via Katugampola fractional integrals. Then a new identity involving Katugampola fractional integrals is proved. By using this identity, some new Hermite-Hadamard type inequalities for classes of p-convex functions are obtained.

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