A generalization of Liapunov's inequality
β Scribed by Leon Kotin
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 530 KB
- Volume
- 102
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
In this paper we are concerned with the following conjecture. Conjecture: Let L be a collection of k positive integers and In particular, we show this conjecture is true when L consists of k consecutive positive integers. This generalizes a well-known inequality of Fisher's. Our proof simplifies an
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