... Littiewood, and G. Polya, Inequalities, Cambridge University Pr ess, Cambridge, UK, 1934.3 B. C. Yang, “On a more accurate Hardy-Hilbert-type inequality and its applications,” Acta MathematicaSinica, ... Beijing, China, 2009.7 J. Kuang, Applied Inequalities, Shangdong Science and Technology Press, Jinan, China, 2004.Journal of Inequalities and Applications 53 By 2.5, 2.12, 2.13 ,and0 <λ<s, ... the applications, two new more accurate Hilbert-type inequalitiesincorporating the linear operator and the norm are deduced.Firstly, the improved Euler-Maclaurin’s summation formula 6 is introduced.Set...