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In this paper, we prove some new integral inequalities for functions whose second derivatives of absolute values are GG-convex functions. Several new generalizations have been obtained. For special selections of n and based on our main results, we give new estimations. [ABSTRACT FROM AUTHOR]

The object of this paper is to obtain certain Hermite-Hadamard type integral inequalities involving general class of fractional integral operators and the fractional integral operators with exponential kernel by using harmonically convex functions. [ABSTRACT FROM AUTHOR]

In this paper, we define a new class of convex functions which is called (r, s) -- convex functions. We also prove some Hadamard's type inequalities related to this new class of functions. [ABSTRACT FROM AUTHOR]

In this paper, we establish some new integral inequalities for quasi-convex and h-convex functions by using a kernel and fairly elementary analysis. [ABSTRACT FROM AUTHOR]

In this paper, we define a new class of convex functions which is called (r,m) - convex functions. We also prove some Hadamard's type inequalities based on this new definition. [ABSTRACT FROM AUTHOR]

In this paper, we obtain some new estimations of Iyengar-type inequality in which quasi-convex(quasi-concave) functions are involved. These estimations are improvements of some recently obtained estimations. Some error estimations for the trapezoidal formula are given. Applications for special means are also provided. [ABSTRACT FROM AUTHOR]

Several inequalities for a companion of Ostrowski inequality for absolutely continuous mappings whose first derivatives absolute value are convex (resp. concave) are established. Applications to a composite quadrature rule, to p.d.f.'s, and to special means are provided. [ABSTRACT FROM AUTHOR]

Abstract: In this paper, some inequalities are proved for mappings whose -th powers are -concave functions by using the Godunova–Levin inequality, Hölder’s inequality, Favard’s inequality, Chebyshev’s inequality and some other integral inequalities. [Copyright &y& Elsevier]

In this paper, we established a new Ostrowski-type inequality in- volving functions of two independent variables. [ABSTRACT FROM AUTHOR]

Abstract: In this paper we give some estimates to the right-hand side of Hermite–Hadamard inequality for functions whose absolute values of second derivatives raised to positive real powers are -convex. [Copyright &y& Elsevier]

We do not only give the extensions of the results given by Gill et al. (1997) for log-convex functions but also obtain some new Hadamard-type inequalities for log-convexm-convex, and (α,m)-convex functions. [ABSTRACT FROM AUTHOR]

An interesting connection exists between convex functions and uniformly continuous functions. This linkage leads to some interesting functional inequalities over the open interval which works well in quadrature rules and means. In this paper, we establish two new theorem which connect the Hermite–Hadamard type functions. [Copyright &y& Elsevier]

This article will focus on, and extend, the part of the earlier study that concerns with the inequalities in [Appl. Math. Lett. 12 (1999) 7]. In this paper, we establish a new inequality involving the first and second local modulus of continuity of a continuously differentiable function and applications to special means are investigated. [Copyright &y& Elsevier]

In this paper, we establish some weighted fractional inequalities for differentiable mappings whose derivatives in absolute value are convex. These results are connected with the celebrated Hermite–Hadamard–Fejér type integral inequality. The results presented here would provide extensions of those given in earlier works. [ABSTRACT FROM AUTHOR]