IJPAM: Volume 50, No. 4 (2009)
Department of Mathematics and Computer Science
Jishou, Hunan, 416000, P.R. CHINA
Abstract.In this paper it is shown that the Hardy inequality for discrete form can be improved by means of a sharpening of Hölder's inequality. A similar result for the Hardy integral inequality is also proved. And the coefficient of the classical Hardy inequality is further discussed.
Received: February 20, 2008
AMS Subject Classification: 26D15
Key Words and Phrases: Hardy's inequality, Hölder's inequality, parametric variable vector, integration by parts
Source: International Journal of Pure and Applied Mathematics