engleski

On Van de Lune-Alzer's inequality

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 diff erent methods in proving Van de Lune - Alzer’ s inequality and generalizations in a several directions, is given. Some results and proofs are corrected, refi ned and extended. New results, inspired by the generalization of Van de Lune - Alzer’ s inequality for increasing convex sequences presented by N. Elezovic and J. Pecaric, are obtained.

sequences; convex functions; inequalities

nije evidentirano