On a new Hilbert’s type inequality. (English) Zbl 1242.26025

Chen, Guangsheng

Afr. Diaspora J. Math. 10, No. 2, 145-152 (2010).

Summary: By introducing some parameters and estimating the weight coefficient, we establish a new Hilbert’s type inequality with a best constant factor. As applications, the reverse form, some particular results and the equivalent form are considered.

MSC:

26D15

Inequalities for sums, series and integrals

Keywords:

Hilbert’s inequality; Hölder’s inequality; weight coefficient