On Generalization of a Reverse Hilbert's Type Inequality

Gaowen Xi; Zhengping Zhang

doi:10.9734/ARJOM/2017/35514

Research Article Open access CC BY 4.0

On Generalization of a Reverse Hilbert's Type Inequality

Gaowen Xi, Zhengping Zhang

Asian Research Journal of Mathematics · pp. 1–7 · Published 8 Aug 2017

10.9734/ARJOM/2017/35514

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.

Hilbert's inequality weight coecient Euler-Maclaurin expansion reverse

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Gaowen Xi, Zhengping Zhang (2017). On Generalization of a Reverse Hilbert's Type Inequality. Asian Research Journal of Mathematics , 1–7. https://doi.org/10.9734/ARJOM/2017/35514

Affiliations

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.

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