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Still more generalizations of Hardy's inequality

Part of: Inequalities

Published online by Cambridge University Press:  09 April 2009

J. E. Pečarić  and
E. R. Love
J. E. Pečarić
Affiliation:
Faculty of Textile Technology, University of Zagreb, Zagreb, Croatia
E. R. Love
Affiliation:
Department of Mathematics, The University of Melbourne, Parkville, Victoria 3052, Australia
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Abstract

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These generalizations of Hardy's Integral Inequality are generalizations of some inequalities of B. G. Pachpatte.

MSC classification

Secondary: 26D15: Inequalities for sums, series and integrals

Information

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 59 , Issue 2 , October 1995 , pp. 214 - 224
Copyright
Copyright © Australian Mathematical Society 1995

References

[1]Copson, E. T., ‘Some integral inequalities’, Proc. Roy. Soc. Edinburgh Sect. A 75 (1975–1976), 157–164.CrossRefGoogle Scholar
[2]Kadlec, J. and Kufner, A., ‘Characterization of functions with zero traces by integrals with weight functions II’, Časopis Pěst. Mat. 92 (1967), 16–28.CrossRefGoogle Scholar
[3]Levinson, N., ‘Generalizations of an inequality of Hardy’, Duke Math. J. 21 (1964), 389–394.Google Scholar
[4]Love, E. R., ‘Generalizations of Hardy's Integral Inequality’, Proc. Roy. Soc. Edinburgh Sect. A 100 (1985), 237–262.CrossRefGoogle Scholar
[5]Pachpatte, B. G., ‘A note on certain inequalities related to Hardy's Inequality’, unpublished manuscript.Google Scholar