APPLIED MATHEMATICS AND COMPUTATION, vol.141, no.2-3, pp.579-588, 2003 (Journal Indexed in SCI)
Article / Article
Title of Journal :
APPLIED MATHEMATICS AND COMPUTATION
local modulus of continuity, Taylor theorem, univariate continuously differentiable functions, quadrature formulae
This article will focus on, and extend, the part of the earlier study that concerns with the inequalities in Theorems 1 and 2 [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. (C) 2002 Published by Elsevier Science Inc.