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On a more accurate Hardy-Hilbert's inequality in the whole plane | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 93، دوره 12، شماره 1، مرداد 2021، صفحه 1167-1179 اصل مقاله (399.89 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2018.13571.1705 | ||
| نویسندگان | ||
| Qiliang Huang* 1؛ Bicheng Yang2 | ||
| 1Department of Mathematics, Guangdong University of Education,Guangzhou, Guangdong, P.R.China | ||
| 2Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong, P.R.China | ||
| تاریخ دریافت: 12 دی 1396، تاریخ بازنگری: 25 فروردین 1397، تاریخ پذیرش: 29 فروردین 1397 | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Hardy-Hilbert's inequality؛ more accurate inequality؛ parameter؛ weight coefficient؛ equivalent form؛ operator expression | ||
| مراجع | ||
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