Title of article
Generalizations of Some Reverse Integral Inequalities
Author/Authors
Gou-Sheng Yang، نويسنده , , Dah-Yan Hwang، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 1999
Pages
12
From page
193
To page
204
Abstract
We establish the inequality
1rp 1rq 1 a p 1 a q Hr x.f x. dx/ Hr x.f x. dx/ R a.0 R a.0
a nq1 1rp
F ,
a yn a y1.
where a sCK, nsprq, qy1q u9 x.R x.ru2 x.r x..GqrK and R x.s
H0xr t.u t. dt, which is sharper than that obtained by B. Mond, J. Pecaric, and I.
Peric J. Math. Anal. Appl. 203 1996., 381]387..
Keywords
reverse mean integral inequality , Hardy’s inequality
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
1999
Journal title
Journal of Mathematical Analysis and Applications
Record number
932694
Link To Document