Hostname: page-component-78c5997874-xbtfd Total loading time: 0 Render date: 2024-11-02T21:49:30.172Z Has data issue: false hasContentIssue false

Inequalities for non-decreasing sequences

Published online by Cambridge University Press:  14 November 2011

Horst Alzer
Affiliation:
Morsbacher Str. 10, 51545 Waldbröl, Germany

Synopsis

In this paper we prove an extension of inequality (1.1) due to A. Meir.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1993

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Gerber, L.. An extension of Bernoulli's inequality. Amer. Math. Monthly 75 (1968), 875876.CrossRefGoogle Scholar
2Klamkin, M. S. and Newman, D. J.. Inequalities and identities for sums and integrals. Amer. Math. Monthly 83 (1976), 2630.CrossRefGoogle Scholar
3Meir, A.. An inequality for non-decreasing sequences. Rocky Mountain J. Math. 11 (1981), 577579.CrossRefGoogle Scholar
4Milovanović, G. V. and Milovanović, I. Ž.. A generalization of a result of A. Meir for non-decreasing sequences. Rocky Mountain J. Math. 16 (1986), 237239.CrossRefGoogle Scholar
5Pečarić, J. E.. An extension of an inequality for nondecreasing sequences. Rocky Mountain J. Math. 22 (1992), 329330.CrossRefGoogle Scholar