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Abstract
By applying the weight functions and the idea of introduced parameters we give a new Hilbert-type integral inequality involving the upper limit functions and the beta and gamma functions. We consider equivalent statements of the best possible constant factor related to a few parameters. As applications, we obtain a corollary in the case of a nonhomogeneous kernel and some particular inequalities.
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Details
1 Jishou University, College of Mathematics and Statistics, Jishou, P.R. China (GRID:grid.411912.e) (ISNI:0000 0000 9232 802X)
2 Guangdong University of Education, Department of Mathematics, Guangzhou, China (GRID:grid.440716.0)