On a more accurate half-discrete Hilbert's inequality

Qiliang Huang, Bicheng Yang

Type: Article

Publication Date: 2012-05-08

Citations: 6

DOI: https://doi.org/10.1186/1029-242x-2012-106

Abstract

By using the way of weight coefficients and the idea of introducing parameters and by means of Hadamard's inequality, we give a more accurate half-discrete Hilbert's inequality with a best constant factor. We also consider its best extension with parameters, the equivalent forms, the operator expressions as well as some reverses. 2000 Mathematics Subject Classification: 26D15; 47A07.

Locations

Journal of Inequalities and Applications - View - PDF

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+	On a Hilbert-type linear series operator and its applications	2010	Jianjun Jin Lokenath Debnath
+	On the extended Hardy–Hilbert's inequality	2002	Bicheng Yang Lokenath Debnath
+	On Hilbert's Integral Inequality	1998	Yang Bi-cheng
+	On Some Extensions of Hardy-Hilbert's Inequality and Applications	2008	Laith E. Azar
+	Compactness Framework ofLpApproximate Solutions for Scalar Conservation Laws	1998	Tong Yang Changjiang Zhu Huijiang Zhao