Hostname: page-component-cd9895bd7-hc48f Total loading time: 0 Render date: 2024-12-23T14:26:26.140Z Has data issue: false hasContentIssue false
  • English
  • Français

Integral inequalities resembling Copson's inequality

Part of: Inequalities

Published online by Cambridge University Press:  09 April 2009

R. N. Mohapatra  and
K. Vajavelu
R. N. Mohapatra
Affiliation:
University of Central FloridaOrlando, Florida 32816, U.S.A.
K. Vajavelu
Affiliation:
University of Central FloridaOrlando, Florida 32816, U.S.A.
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.

The present paper deals with two inequalities which resemble Copson's integral inequalities. From our theorems, we obtain two interesting corollaries.

MSC classification

Secondary: 26D15: Inequalities for sums, series and integrals
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 48 , Issue 1 , February 1990 , pp. 124 - 132
Copyright
Copyright © Australian Mathematical Society 1990

References

[1]Beesack, P. R., ‘On some integral inequalities of E. T. Copson’, General inequalities II, pp. 151–159 (Birkhäuser, Basel, 1980).Google Scholar
[2]Boas, R. P., ‘Some integral inequalities related to Hardy's inequality’, J. Analyse Math. 23 (1970), 53–63.CrossRefGoogle Scholar
[3]Boas, R. P. and Imoru, C. O., ‘Elementary convolution inequalities’, SIAM J. Math. Anal. 6 (1973), 457–471.Google Scholar
[4]Copson, E. T., ‘Some integral inequalities’, Proc. Roy. Soc. Edinburgh. Sect. A 75 (1975/1976), 157–164.CrossRefGoogle Scholar
[5]Hardy, G. H., Littlewood, J. E. and Polya, G., Inequalities, (University Press, Cambridge, 1934).Google Scholar
[6]Love, E. R., ‘Links between some generalizations of Hardy's integral inequality’, General inequalities IV, pp. 47–57 (Proc 4th. Internat. Conf. on General Inequalities, Oberwolfach, Basel, 1984).Google Scholar
[7]Love, E. R., ‘Generalization of Hardy's integral inequalities’, Proc. Roy. Soc. Edinburgh, Sect. A 100 (1985), nos. 3–4, 237–262.CrossRefGoogle Scholar
[8]Mohapatra, R. N. and Russell, D. C., ‘Intergral inequalities related to Hardy's inequality’, Aequationes Math. 28 (1985), 199–207.Google Scholar