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

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

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.