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 Ε½ . x 1993 , 396α402 . An open problem is prop
β¦ LIBER β¦
On a question of H. Alzer
β Scribed by Weiyu Chen
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 219 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Generalization of H. Alzer's Inequality
β
Feng Qi
π
Article
π
1999
π
Elsevier Science
π
English
β 47 KB
On an Inequality of Alzer
β
J. Sandor
π
Article
π
1995
π
Elsevier Science
π
English
β 39 KB
On a question of H. KraljeviΔ
β
Miljenko Crnjac; Boris GuljaΕ‘; Harry I. Miller
π
Article
π
1990
π
Springer
π
English
β 522 KB
On a question of H. Kraljevic
β
H. I. Miller
π
Article
π
1990
π
Springer
π
English
β 17 KB
On an inequality of Horst Alzer
β
Malcolm T. McGregor
π
Article
π
1996
π
Elsevier Science
π
English
β 146 KB
A general form of Alzer's inequality
β
Zengkun Xu; Dapeng Xu
π
Article
π
2002
π
Elsevier Science
π
English
β 434 KB
Let {u,,}?=~ be a strictly increasing positive sequence, and let m be a natural number and r a positive number. In this paper, we prove n-1 ll(n-1) an -< ( > il=', ai an+1 -( > fi@ l/n ' i=l for n 2 2, then < for 71 1 1. An open problem proposed in [l], which concerns the sequence of natural number