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ESTIMATION OF DIFFERENCE FROM H$\ddot{O}$LDER'S INEQUALITY  

Kim, Yong-In (DEPARTMENT OF MATHEMATICS, UNIVERSITY OF ULSAN)
Publication Information
The Pure and Applied Mathematics / v.17, no.2, 2010 , pp. 189-197 More about this Journal
Abstract
We give an upper bound for the estimation of the difference between both sides of the well-known H$\ddot{o}$lder's inequality. Moreover, an upper bound for the estimation of the difference of the integral form of H$\ddot{o}$lder's inequality is also obtained. The results of this paper are natural generalizations and refinements of those of [2-4].
Keywords
H$\ddot{o}$lder's inequality; concave function; estimation of difference;
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  • Reference
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