𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On an inequality of Horst Alzer

✍ Scribed by Malcolm T. McGregor


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
146 KB
Volume
7
Category
Article
ISSN
0019-3577

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


On an inequality of Ky Fan
✍ Horst Alzer πŸ“‚ Article πŸ“… 1989 πŸ› Elsevier Science 🌐 English βš– 160 KB
On an Inequality of Alzer
✍ J. Sandor πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 39 KB
On Alzer's Inequality
✍ N ElezoviΔ‡; J PečariΔ‡ πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 77 KB

A generalization of Alzer's inequality is proved. It is shown that this inequality is satisfied for a large class of increasing convex sequences.

Generalization of H. Alzer's Inequality
✍ Feng Qi πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 47 KB

Using the mathematical induction and Cauchy's mean-value theorem, for any , where n and m are natural numbers, k is a nonnegative integer. The lower bound is best w possible. This inequality generalizes the Alzer's inequality J. Math. Anal. Appl. 179 Ž . x 1993 , 396᎐402 . An open problem is prop

Refinement of an inequality of G. Bennet
✍ Horst Alzer πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 334 KB

We prove: Let n>O be an integer. Then we have for all real numbers r >O: where both bounds are best possible. The right-hand side of (\*) refines an inequality of Bennett.