Improvement of some inequalities of Euler-Grüss type (Q597264)

The key result of this paper is a Grüss type inequality which improves Lemma 1 from [\textit{Lj. Dedić, M. Matić} and \textit{J. Pečarić}, Comput. Math. Appl. 41, No. 7-8, 843--856 (2001; Zbl 0984.26011)]. The author applies this key result in order to improve all the Euler-Grüss type inequalities from the above mentioned paper. All the improved inequalities are sharp.