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http://dx.doi.org/10.11568/kjm.2015.23.4.655

APPLICATIONS OF TAYLOR SERIES FOR CARLEMAN'S INEQUALITY THROUGH HARDY INEQUALITY  

IDDRISU, MOHAMMED MUNIRU (Department of Mathematics University for Development Studies)
OKPOTI, CHRISTOPHER ADJEI (Department of Mathematics University of Education)
Publication Information
Korean Journal of Mathematics / v.23, no.4, 2015 , pp. 655-664 More about this Journal
Abstract
In this paper, we prove the discrete Hardy inequality through the continuous case for decreasing functions using elementary properties of calculus. Also, we prove the Carleman's inequality through limiting the discrete Hardy inequality with applications of Taylor series.
Keywords
Hardy inequality; Carleman's inequality; Applications; Taylor series;
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