Abstract
This paper is mainly concerned with a discrete inequality bearing some resemblance to recent inequalities of Heinig and of Cochran and Lee. These are typified by
under appropriate conditions. The products on the left are replaced, in this paper, by geometric means with more general weights, and the factors mk-1 on both sides by factors r-m for suitably small r. Some inequalities having an analogous character are first discussed, since they led the way into this study.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
J.A. Cochran and C.-S. Lee, Inequalities related to Hardy’s and Heinig’s. Math. Proc. Cambridge Phil. Soc. 96 (1984), 1–7.
G.H. Hardy, J.E. Littlewood and G. Pólya, Inequalities. Cambridge, 1934.
H.P. Heinig, Some extensions of Hardy’s inequality. SIAM J. Math. Anal. 6 (1975), 698–713.
E.R. Love, Inequalities related to those of Hardy and of Cochran and Lee. To appear in Math. Proc. Cambridge Phil.Soc.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Birkhäuser Verlag Basel
About this chapter
Cite this chapter
Love, E.R. (1987). Some Inequalities for Geometric Means. In: Walter, W. (eds) General Inequalities 5. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik Série internationale d’Analyse numérique, vol 80. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-7192-1_6
Download citation
DOI: https://doi.org/10.1007/978-3-0348-7192-1_6
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-0348-7194-5
Online ISBN: 978-3-0348-7192-1
eBook Packages: Springer Book Archive