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On the symmetric Hilbert’s inequality and its applications. (English) Zbl 1013.26012

Summary: It is shown that some improvements of Hilbert’s inequality for double series can be established by means of Schwarz’s inequality; Hilbert-Ingham’s inequality can be sharpened, Hardy-Littlewood’s inequality and Fejér-Riesz’s inequality can be refined.

MSC:

26D15 Inequalities for sums, series and integrals
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