Masatoshi Fujii, Ritsuo Nakamoto
Abstract
We refine the Hölder-McCarthy inequality. The point is the convexity of the function induced by Hölder-McCarthy inequality. Also we discuss the equivalent between refined Hölder-McCarthy inequality and refined Young inequality with type of Kittaneh and Manasrah.
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We refine the Hölder-McCarthy inequality. The point is the convexity of the function induced by Hölder-McCarthy inequality. Also we discuss the equivalent between refined Hölder-McCarthy inequality and refined Young inequality with type of Kittaneh and Manasrah.
Key concepts: Hölder's inequality, Inequality, Log sum inequality, Kantorovich inequality, Rearrangement inequality, Convexity, Young's inequality, Ky Fan inequality