engleski

On Van de Lune - Alzer's inequality

In this paper it is shown that the inequality known in the literature as Alzer’ s inequality (1993), has already been known since 1975. and is due to Jan van de Lune. A review of different methods in proving Van de Lune - Alzer’ s inequality and generalizations in a several directions, is given. It is shown how some results and proofs can be corrected, refined and extended. New results, inspired by the generalization of Van de Lune - Alzer’ s inequality for increasing convex sequences presented by N. Elezović and J. Pečarić, are obtained.

sequences ; convex functions ; inequalities

nije evidentirano