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2011•Journal of Lvliang UniversityRequires access

Some Proofs of Hlder Inequality

Xuqin Wang

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Abstract

Hlder's inequality is one important inequality in theories of fundamental mathematics.In this paper the author analyzes series and integral forms of Hlder inequality and proves Hlder inequality by employing the generalized forms of Jensen inequality,Young inequality and mean value inequality.

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Hlder's inequality is one important inequality in theories of fundamental mathematics.In this paper the author analyzes series and integral forms of Hlder inequality and proves Hlder inequality by employing the generalized forms of Jensen inequality,Young inequality and mean value inequality.

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Available abstract

Hlder's inequality is one important inequality in theories of fundamental mathematics.In this paper the author analyzes series and integral forms of Hlder inequality and proves Hlder inequality by employing the generalized forms of Jensen inequality,Young inequality and mean value inequality.

Key concepts: Inequality, Hölder's inequality, Log sum inequality, Mathematics, Kantorovich inequality, Rearrangement inequality, Cauchy–Schwarz inequality, Mathematical proof

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