In this paper, we obtain some new weighted Hermite–Hadamard-type inequalities for (n+2)?convex functions by utilizing generalizations of Steffensen’s inequality via Taylor’s formula.

X iv :m at h/ 03 05 37 4v 1 [ m at h. N A ] 2 7 M ay 2 00 3 A GENERALISED TRAPEZOID TYPE INEQUALITY FOR CONVEX FUNCTIONS S.S. DRAGOMIR Abstract. A generalised trapezoid inequality for convex functions and applications for quadrature rules are given. A refinement and a counterpart result for the Hermite-Hadamard inequalities are obtained and some inequalities for pdf’s and (HH)−divergence measur...

In this paper, we introduce and study the concept of exponential type P-function establish Hermite-Hadamard's inequalities for functions. addition, obtain some new Hermite-Hadamard functions whose first derivative in absolute value is by using Hölder power-mean integral inequalities. We also extend our initial results to several variables. Next, point out applications give estimates approximati...

Abstract In this paper, we establish a new variant of q -Hermite-Hadamard inequality for convex functions via left and right -integrals. Moreover, prove some -midpoint -trapezoid type inequalities -differentiable functions. To illustrate the newly established inequalities, give particular examples

in this paper we establish several polynomials similar to bernstein's polynomials and several refinements of  hermite-hadamard inequality for convex functions.

We give some weighted double integral inequalities of Hermite-Hadamard type for co-ordinated convex functions in a rectangle from R2. The obtained provide generalizations result given earlier works.

Fej'{e}r  Hadamard  inequality is generalization of Hadamard inequality. In this paper we prove certain Fej'{e}r  Hadamard  inequalities for $k$-fractional integrals. We deduce Fej'{e}r  Hadamard-type  inequalities for Riemann-Liouville fractional integrals. Also as special case Hadamard inequalities for $k$-fractional as well as fractional integrals are given.

In this paper, we establish some Hermite-Hadamard type inequalities for s-convex functions in the first and second sense. Some applications to special means real numbers are also given.

In this paper, firstly we have established Hermite–Hadamard-Fejér inequality for fractional integrals. Secondly, an integral identity and some HermiteHadamard-Fejér type integral inequalities for the fractional integrals have been obtained. The some results presented here would provide extensions of those given in earlier works. Mathematics Subject Classification (2010): 26A51, 26A33, 26D10.