On Generalization of a Reverse Hilbert's Type Inequality
Gaowen Xi *
College of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing, 401331, P. R. China.
Zhengping Zhang
College of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing, 401331, P. R. China.
*Author to whom correspondence should be addressed.
Abstract
We establish an inequality of a weight coecient by introducing a parameter λ and using the Euler-Maclaurin expansion. Using this inequality, we derive a reverse of the Hilbert's type inequality. As an applications, an equivalent form is obtained.
Keywords: Hilbert's inequality, weight coecient, Euler-Maclaurin expansion, reverse