On a multiple Hilbert-type integral inequality involving the upper limit functions. (English) Zbl 1504.26081
Summary: By applying the weight functions, the idea of introducing parameters and the technique of real analysis, a new multiple Hilbert-type integral inequality involving the upper limit functions is given. The constant factor related to the gamma function is proved to be the best possible in a condition. A corollary about the case of the nonhomogeneous kernel and some particular inequalities are obtained.
Keywords:
weight function; Hilbert-type integral inequality; upper limit function; parameter; gamma functionReferences:
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