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Some remarks on reverse Hilbert and Hardy-Hilbert type inequalities

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Abstract

In this paper we obtain an extension of discrete Hilbert’s inequality, by using some numerical methods. We shall obtain, in a similar way as Yang did in [10], that the parameter from the kernel can be taken from the interval [3/2, 3). We also compare our findings with existing results, known from the literature.

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Krnić, M., Pečarić, J. & Vuković, P. Some remarks on reverse Hilbert and Hardy-Hilbert type inequalities. Rend. Circ. Mat. Palermo 56, 349–357 (2007). https://doi.org/10.1007/BF03032088

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