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  • Author or Editor: Lokenath Debnath x
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Summary The general form of Hilbert’s inequality and its converses are established. The integral analogues of such inequalities are also given.  They are significant improvements and generalizations of many known results.

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Abstract  

Using classical analytic techniques, a double inequality for differences of power means and geometric means in two variables is generalized and sharpened. A new inequality for differences of power means involving four parameters is established.

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