2013Journal of Inequalities and ApplicationsOpen access

On a half-discrete Hilbert-type inequality similar to Mulholland’s inequality

Zhenxiao Huang, Bicheng Yang

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Abstract

By using the way of weight functions and Hadamard’s inequality, a half-discrete Hilbert-type inequality similar to Mulholland’s inequality with a best constant factor is given. The extension with multi-parameters, the equivalent forms as well as the operator expressions are also considered. MSC: 26D15.

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By using the way of weight functions and Hadamard’s inequality, a half-discrete Hilbert-type inequality similar to Mulholland’s inequality with a best constant factor is given. The extension with multi-parameters, the equivalent forms as well as the operator expressions are also considered. MSC: 26D15.

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Available abstract

By using the way of weight functions and Hadamard’s inequality, a half-discrete Hilbert-type inequality similar to Mulholland’s inequality with a best constant factor is given. The extension with multi-parameters, the equivalent forms as well as the operator expressions are also considered. MSC: 26D15.

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

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