Hostname: page-component-84b7d79bbc-fnpn6 Total loading time: 0 Render date: 2024-07-29T09:19:28.114Z Has data issue: false hasContentIssue false
  • English
  • Français

On an extension of Hölder's inequality

Published online by Cambridge University Press:  17 April 2009

C.E.M. Pearce  and
J. Peĉarić
C.E.M. Pearce
Affiliation:
Applied Mathematics Department, The University of Adelaide, Adelaide SA 5005, Australia
J. Peĉarić
Affiliation:
Faculty of Textile Technology, University of Zagreb, Zagreb, Croatia, and Applied Mathematics Department, The University of Adelaide, Adelaide, SA 5005, Australia
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

An new extension of Hölder's inequality is derived. This is shown to follow from a generalisation of Steffensen's inequality.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 51 , Issue 3 , June 1995 , pp. 453 - 458
Copyright
Copyright © Australian Mathematical Society 1995

References

[1]Freimer, M. and Mudholkar, G.S., ‘A class of generalizations of Hölder's inequality’, in Inequalities in statistics and probability, IMS Lecture Notes, Monograph Series 5, 1984, pp. 59–67.CrossRefGoogle Scholar
[2]Iwamoto, S., Tomkins, R.D. and Wang, C.L., ‘Inequalities and mathematical programming, III’, in General inequalities 5, (Walter, W., Editor) (Basle, Boston, 1987), pp. 419–432.CrossRefGoogle Scholar
[3]Mitrinović, D.S. and Peĉarić, J.E., ‘On the Bellman generalization of Steffensen's inequality, III’, J. Math. Anal. Appl. 135 (1988), 342–345.CrossRefGoogle Scholar
[4]Mudholkar, G.S., Freimer, M. and Subbaiah, P., ‘An extension of Holder's inequality’, J. Math. Anal. Appl. 102 (1984), 435–441.CrossRefGoogle Scholar