High order Ostrowski type inequalities


We generalize Ostrowski inequality for higher order derivatives, by using a generalized Euler type identity. Some of the inequalities produced are sharp, namely attained by basic functions. The rest of the estimates are tight. We give applications to trapezoidal and mid-point rules. Estimates are given with respect to L∞ norm. © 2006 Elsevier Ltd. All rights reserved.

Publication Title

Applied Mathematics Letters