Zheng ZENG, Zitian Xie. A Hilbert's Integral Inequality with a Best Constant Factor[J]. Journal of South China Normal University (Natural Science Edition), 2010, 1(3): 31-33 .
Citation:
Zheng ZENG, Zitian Xie. A Hilbert's Integral Inequality with a Best Constant Factor[J]. Journal of South China Normal University (Natural Science Edition), 2010, 1(3): 31-33 .
Zheng ZENG, Zitian Xie. A Hilbert's Integral Inequality with a Best Constant Factor[J]. Journal of South China Normal University (Natural Science Edition), 2010, 1(3): 31-33 .
Citation:
Zheng ZENG, Zitian Xie. A Hilbert's Integral Inequality with a Best Constant Factor[J]. Journal of South China Normal University (Natural Science Edition), 2010, 1(3): 31-33 .
A Hilbert's Integral Inequality with a Best Constant Factor
By introducing some parameters and estimating the weight function, a new Hilbert-type integral inequality with a best constant factor is given. The equivalent inequality and the reverse forms are also considered.