On some inequalities for differentiable mappings and applications to special means of real numbers and to midpoint formula
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Some inequalities are presented here for differentiable convex mappings, using Hermite-Hadamard's integral inequality holding for convex functions. A parallel development is deduced for differentiable concave functions. Some applications to special means of real numbers are also given. Finally, some error estimates for the midpoint formula are obtained.
[1] C. E. M. Pearce,et al. Inequalities for differentiable mappings with application to special means and quadrature formulæ , 2000, Appl. Math. Lett..
[2] M. Emin Özdemir. A theorem on mappings with bounded derivatives with applications to quadrature rules and means , 2003, Appl. Math. Comput..
[3] S. Dragomir. Two Mappings in Connection to Hadamard's Inequalities , 1992 .
[4] Ravi P. Agarwal,et al. Two inequalities for differentiable mappings and applications to special means of real numbers and to trapezoidal formula , 1998 .