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. c © 2006 Elsevier Ltd. All rights reserved.

diabetes is considered as a global affecting disease with an increasing contribution to both mortality rate and cost damage in the society. therefore, tight control of blood glucose levels has gained significant attention over the decades. this paper proposes a method for blood glucose level regulation in type 1 diabetics. the control strategy is based on combining the fuzzy logic theory and si...

Abstract In this paper, we define new higher order Kantorovich-type Szász–Mirakjan operators, give some approximation properties of these operators in terms various moduli continuity. We prove a local theorem, Korovkin-type and Voronovskaja-type theorem. also weighted theorems for operators.