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A more accurate Hardy-Hilbert-type inequality with internal variables. (English) Zbl 1402.26015

Daras, Nicholas J. (ed.) et al., Modern discrete mathematics and analysis. With applications in cryptography, information systems and modeling. Cham: Springer (ISBN 978-3-319-74324-0/hbk; 978-3-319-74325-7/ebook). Springer Optimization and Its Applications 131, 485-504 (2018).
Summary: By the use of the way of weight coefficients, the technique of real analysis, and Hermite-Hadamard’s inequality, a more accurate Hardy-Hilbert-type inequality with internal variables and a best possible constant factor is given. The equivalent forms, the reverses, the operator expressions with the norm, and some particular cases are also considered.
For the entire collection see [Zbl 1403.05004].

MSC:

26D15 Inequalities for sums, series and integrals
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