Presentation of Young's inequality
Zlatko Pavić
Abstract
Zlatko Pavić
Abstract
The paper presents different forms of Young's inequality. Main results include generalizations of the discrete and integral form. Issues on inequalities are studied using the geometric-arithmetic mean inequality, integral method and Jensen's inequality. A functional approach to Young's inequality is also considered.
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The paper presents different forms of Young's inequality. Main results include generalizations of the discrete and integral form. Issues on inequalities are studied using the geometric-arithmetic mean inequality, integral method and Jensen's inequality. A functional approach to Young's inequality is also considered.
Key concepts: Inequality, Mathematics, Log sum inequality, Young's inequality, Kantorovich inequality, Ky Fan inequality, Inequality of arithmetic and geometric means, Rearrangement inequality