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

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Abstract

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.

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Correspondence to Mario Krnić.

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Krnić, M., Vuković, P. A Class of Hilbert-Type Inequalities Obtained Via the Improved Young Inequality. Results Math 71, 185–196 (2017). https://doi.org/10.1007/s00025-015-0506-7

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  • DOI: https://doi.org/10.1007/s00025-015-0506-7

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