title: On a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of arc tangent function.
abstract: By means of weight functions and Hermite-Hadamard's inequality, and introducing a discrete interval variable, a more accurate half-discrete Hardy-Hilbert-type inequality related to the kernel of arc tangent function and a best possible constant factor is given, which is an extension of a published result. The equivalent forms and the operator expressions are also considered.
authors: Department of Computer Science, Guangdong University of Education, Guangzhou, 51003 Guangdong People's Republic of China.
authors: Qiang
authors: Q
authors: Chen
authors: Department of Mathematics, Guangdong University of Education, Guangzhou, 51003 Guangdong People's Republic of China.
authors: Bicheng
authors: B
authors: Yang
keywords: Equivalent form; Hardy–Hilbert-type inequality; Hermite–Hadamard’s inequality; Operator; Weight function