Abstract
Some generalizations of Hardy’s Inequality-were given by J. Kadlec and A. Kufner in 1967, and several more of a different kind by E.T. Copson in 1976. In this paper a generalization is given which contains typical inequalities of both kinds as quite special cases, and which estimates a norm of a fairly general integral transform.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
E.T. Copson, Some integral inequalities. Proc. Roy. Soc. Edinburgh 75A (1975-76), 157–164.
G.H. Hardy, J.E. Littlewood and G. Pólya, Inequalities. Cambridge, 1934.
J. Kadlec and A. Kufner, Characterization of functions with zero traces by integrals with weight functions II. Časopis Pěst. Mat. 92 1967), 16–28.
E.C. Titchmarsh, The theory of functions. Oxford, 2nd edition, 1939.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1984 Springer Basel AG
About this chapter
Cite this chapter
Love, E.R. (1984). Links Between Some Generalizations of Hardy’s Integral Inequality. In: Walter, W. (eds) General Inequalities 4. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 71. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6259-2_5
Download citation
DOI: https://doi.org/10.1007/978-3-0348-6259-2_5
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-6261-5
Online ISBN: 978-3-0348-6259-2
eBook Packages: Springer Book Archive