Some Extensions of Hardy's Inequality
Canadian mathematical bulletin, Tome 22 (1979) no. 2, pp. 165-169

Voir la notice de l'article provenant de la source Cambridge University Press

This note is concerned with some new integral inequalities which are extensions of the results in [2]. The method by which these results are obtained is due to D. C. Benson [1]. Throughout the present note we shall assume 1<p<∞ and f(x) a non-negative measurable function.
Chan, Ling-Yau. Some Extensions of Hardy's Inequality. Canadian mathematical bulletin, Tome 22 (1979) no. 2, pp. 165-169. doi: 10.4153/CMB-1979-023-5
@article{10_4153_CMB_1979_023_5,
     author = {Chan, Ling-Yau},
     title = {Some {Extensions} of {Hardy's} {Inequality}},
     journal = {Canadian mathematical bulletin},
     pages = {165--169},
     year = {1979},
     volume = {22},
     number = {2},
     doi = {10.4153/CMB-1979-023-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-023-5/}
}
TY  - JOUR
AU  - Chan, Ling-Yau
TI  - Some Extensions of Hardy's Inequality
JO  - Canadian mathematical bulletin
PY  - 1979
SP  - 165
EP  - 169
VL  - 22
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-023-5/
DO  - 10.4153/CMB-1979-023-5
ID  - 10_4153_CMB_1979_023_5
ER  - 
%0 Journal Article
%A Chan, Ling-Yau
%T Some Extensions of Hardy's Inequality
%J Canadian mathematical bulletin
%D 1979
%P 165-169
%V 22
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1979-023-5/
%R 10.4153/CMB-1979-023-5
%F 10_4153_CMB_1979_023_5

[1] 1. Benson, D. C., Inequalities involving integrals of functions and their derivatives, J. Math. Anal. Appl. 17 (1967),292-308. Google Scholar

[2] 2. Shum, D. T., On integral inequalities related to Hardy's, Canad. Math. Bull. 14 (1971),225-230. Google Scholar

[3] 3. Zygmund, A., Trigonometric series, I, 2nd edition, Cambridge, 1968. Google Scholar

Cité par Sources :