2011Taiwanese Journal of MathematicsOpen access

Subadditivity of Some Functionals Associated to Jensen's Inequality with Applications

Sever S Dragomir, Y. J. Cho, J. K. Kim

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Abstract

Some new results related to Jensen’s celebrated inequality for convex functions defined on convex sets in linear spaces are given. Applications for the arithmetic mean-geometric mean inequality are provided as well.

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Some new results related to Jensen’s celebrated inequality for convex functions defined on convex sets in linear spaces are given. Applications for the arithmetic mean-geometric mean inequality are provided as well.

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OpenAlex reports 6 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Some new results related to Jensen’s celebrated inequality for convex functions defined on convex sets in linear spaces are given. Applications for the arithmetic mean-geometric mean inequality are provided as well.

Key concepts: Subadditivity, Mathematics, Jensen's inequality, Inequality of arithmetic and geometric means, Inequality, Regular polygon, Convex function, Ky Fan inequality

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