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On Some Integral Inequalities Related to Hardy's

Published online by Cambridge University Press:  20 November 2018

Christopher Olutunde Imoru
Christopher Olutunde Imoru*
Affiliation:
Dept. of Math., University of Ife, Ile-Ife Western State, Nigeria
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Abstract

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We obtain mainly by using Jensen's inequality for convex functions an integral inequality, which contains as a special case Shun's generalization of Hardy's inequality.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 20 , Issue 3 , 01 September 1977 , pp. 307 - 312
Copyright
Copyright © Canadian Mathematical Society 1977

References

1. Boas, R. P. Jr; Integrability Theorems for Trigonometric Transforms. Ergebnisse der Mathematik und ihrer Grenzgebiete, Vol. 38, (1967).Google Scholar
2. Boas, R. P. Jr; Some Integral Inequalities Related to Hardy's Inequality. Journal d'analyse Math. 23 (1970), 53-63.Google Scholar
3. Hardy, G. H., Littlewood, J. E. and Pόlya, G: Inequalities. Second edition, Cambridge (1952).Google Scholar
4. Izumi, M, Izumi, S. and Peterson, G: On Hardy's inequality and its Generalizations. Tohoku Math. J. 21 (1969) 601-613.Google Scholar
5. Németh, J: Generalizations of Hardy-Littlewood Inequality 11. Acta Sci. Math. 32 (1971), 295-299.Google Scholar
6. Shum, D. T: On Integral Inequalities Related to Hardy's. Can. Math. Bull. 14 (2) (1971), 225-230.Google Scholar