Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 7 1 2016 01 01 On a Hardy-Hilbert-Type Inequality with a General Homogeneous Kernel 249 269 323 10.22075/ijnaa.2015.323 EN Michael Th. Rassias Institute of Mathematics, University of Zurich, CH - 8057, Zurich, Switzerland & Institute for Advanced Study, Program in Interdisciplinary Studies, 1 Einstein Dr, Princeton, NJ 08540, USA Bicheng Yang Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China Journal Article 2015 06 07 By the method of weight coefficients and techniques of real analysis, a Hardy-Hilbert-type inequality with a general homogeneous kernel and a best possible constant factor is given. The equivalent forms, the operator expressions with the norm, the reverses and some particular examples are also considered. Hardy-Hilbert-type inequality, weight coefficient, equivalent form, reverse operator https://ijnaa.semnan.ac.ir/article_323_fdd0e926c44dc6c795dd27dfb4bef204.pdf