A Class of Hilbert-Type Inequalities Obtained Via the Improved Young Inequality

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• 作者：Mario Krnić ; Predrag Vuković
• 关键词：Hilbert inequality ; Hardy inequality ; Young inequality ; Hölder inequality ; refinement
• 刊名：Results in Mathematics
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：71
• 期：1-2
• 页码：185-196
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics, general;
• 出版者：Springer International Publishing
• ISSN：1420-9012
• 卷排序：71

文摘

In this article we establish a class of more accurate Hilbert-type inequalities based on an improved form of the Young inequality, known from the literature. We obtain refined and reversed relations in a general multidimensional case. As an application, we give improved versions of the classical Hilbert and Hardy inequalities.