Yang, Bicheng 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 Keywords:Hardy-Hilbert-type inequality; weight coefficient; equivalent form; reverse; operator PDFBibTeX XMLCite \textit{B. Yang}, Springer Optim. Appl. 131, 485--504 (2018; Zbl 1402.26015) Full Text: DOI