Matching parameters conditions for the best semi-discrete Hilbert-type inequality with a class of non-homogeneous kernels
By using the real analysis techniques and weight function method,the matching parameters was chosen to obtain semi-discrete Hilbert-type inequalities with non-homogeneous kernel G(xλ1yλ2)(λ1λ2＞0)and the best constant factor is discussed.Necessary and sufficient conditions for the optimal combination of parameters are obtained.A fundamental theoretical problem of Hilbert-type inequality is solved,and their applications are discussed.
semi-discrete Hilbert-type inequalitynon-homogeneous kernelthe best constant factorthe best matching parameteroperator norm
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