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A few equivalent statements of a Hilbert-type integral inequality with the Riemann-Zeta function |
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| Authors: | Weiliang Wu Bicheng Yang |
| Affiliation: | Department of Mathematics, Jiayin University, and Jiayin, Guangdong 514015, P. R. China; Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China |
| Abstract: | By using the way of real analysis and the weight functions, a few equivalent statements of a Hilbert-type integral inequality in the whole plane with the internal variables and the best possible constant factor related to the Riemann-zeta function is proved. The operator expression and some particular cases are considered. |
| Keywords: | Hilbert-type integral inequality weight function internal variable equivalent statement operator Riemann-zeta function. |
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