On a half-discrete Hilbert-type inequality similar to Mulholland’s inequality
Zhenxiao Huang, Bicheng Yang
Abstract
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Zhenxiao Huang, Bicheng Yang
Abstract
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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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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