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On Hilbert’s inequality. (English) Zbl 0757.26020

The author establishes some improvements of Hilbert’s inequalities [cf. Chapter IX of G. H.Hardy, J. E. Littlewood and G. Pólya: “Inequalities” (1st ed. 1934; Zbl 0010.10703, 2nd ed. 1952; Zbl 0047.053, reprint of the 2nd ed. 1988; Zbl 0634.26008)] and of Widder’s theorem [cf. D. V. Widder, J. Lond. Math. Soc. 4, 194-198 (1929)].
Reviewer: B.Opic (Praha)

MSC:

26D15 Inequalities for sums, series and integrals
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