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On an Inequality of Alzer

✍ Scribed by J. Sandor


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
39 KB
Volume
192
Category
Article
ISSN
0022-247X

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

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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