Displaying similar documents to “On a Hilbert-type operator with a symmetric homogeneous kernel of - 1 -order and applications.”

A Hilbert-type integral inequality with a hybrid kernel and its applications

Qiong Liu, Dazhao Chen (2016)

Colloquium Mathematicae

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We prove a multi-parameter Hilbert-type integral inequality with a hybrid kernel. We describe the best constant in the inequality in terms of hypergeometric functions. Some equivalent forms of the inequalities are also studied. By specifying parameter values we obtain results proved by other authors as well as many new inequalities.