By introducing independent parameters and applying the weight coefficients, we use Hermite-Hadamard's inequality and give a more accurate Hardy-Hilbert's inequality in the whole plane with a best possible constant factor. Furthermore, the equivalent forms, a few particular cases and the operator expressions are considered.
Huang, Q., Yang, B. (2021). On a more accurate Hardy-Hilbert's inequality in the whole plane. International Journal of Nonlinear Analysis and Applications, 12(1), 1167-1179. doi: 10.22075/ijnaa.2018.13571.1705
MLA
Qiliang Huang; Bicheng Yang. "On a more accurate Hardy-Hilbert's inequality in the whole plane". International Journal of Nonlinear Analysis and Applications, 12, 1, 2021, 1167-1179. doi: 10.22075/ijnaa.2018.13571.1705
HARVARD
Huang, Q., Yang, B. (2021). 'On a more accurate Hardy-Hilbert's inequality in the whole plane', International Journal of Nonlinear Analysis and Applications, 12(1), pp. 1167-1179. doi: 10.22075/ijnaa.2018.13571.1705
VANCOUVER
Huang, Q., Yang, B. On a more accurate Hardy-Hilbert's inequality in the whole plane. International Journal of Nonlinear Analysis and Applications, 2021; 12(1): 1167-1179. doi: 10.22075/ijnaa.2018.13571.1705
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