On the study of Hilbert-type inequalities with multi-parameters: a Survey | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 3، دوره 2، شماره 1، 2011، صفحه 21-34 اصل مقاله (269.84 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2011.90 | ||
| نویسندگان | ||
| B. Yang* 1؛ Th. M. Rassias2 | ||
| 1Department of Mathematics, Guangdong Education Institute, Guangzhou, Guangdong 510303, P. R. China | ||
| 2Department of Mathematics, National Technical University of Athens, Zografou, Campus 15780 Athens, Greece | ||
| چکیده | ||
| In this paper, we provide a short account of the study of Hilbert-type inequalities during the past almost 100 years by introducing multi-parameters and using the method of weight coefficients. A basic theorem of Hilbert-type inequalities with the homogeneous kernel of −$\lambda$−degree and parameters is proved. | ||
| کلیدواژهها | ||
| Hilbert-type inequality؛ weight coefficient؛ parameter؛ kernel؛ operator | ||
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