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http://dx.doi.org/10.7858/eamj.2018.002

ON HARDY-BENNETT INEQUALITY

Kwon, Ern Gun (Department of Math-Education, Andong National University)

Publication Information

East Asian mathematical journal / v.34, no.1, 2018 , pp. 17-20 More about this Journal

Abstract

Hardy-Bennett inequality is an inequality of Hardy-type having logarithmic weight. It appeared in 1973, and several generalizations followed. We, in this note, present another generalization with a simple proof.

Keywords

Hardy inequality; Hardy-Bennett inequality;

Citations & Related Records

Reference

1	G. H. Hardy, Notes on some points in the integral calculus, LXIV. Further inequalities between integrals, Messenger Math. 57 (1928), 12-16.
2	G. H. Hardy, J. E. Littlewood, and G. Polya, Inequalities, 2nd ed., Cambridge University Press, 1952.
3	C. Bennett, Intermediate spaces and the class $Llog^+L$ , Ark. Math. 11 (1973), 215-228. DOI
4	Sorina Barza, Lars-Erik Persson and Natasha Samko, Some new sharp limit Hardy-type inequalities via convexity, J. Inequal. App. 2014 (2014), Article ID 6.