Continuous analogue of Alzer's inequality

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Published: Jun 30, 2006
DOI: https://doi.org/10.5556/j.tkjm.37.2006.153

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Su-Ling Zhang
Chao-Ping Chen
Feng Qi

Abstract

Let $ b

$$ \frac{b}{b+\delta}<\biggl(\frac1{b-a}\int_a^bx^r\td x\bigg/ \frac1{b+\delta-a}\int_a^{b+\delta}x^r\td x\biggr)^{1/r}<1. $$

Both bounds are best possible.

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How to Cite
Zhang, S.-L., Chen, C.-P., & Qi, F. (2006). Continuous analogue of Alzer’s inequality. Tamkang Journal of Mathematics, 37(2), 105–108. https://doi.org/10.5556/j.tkjm.37.2006.153
Issue
Vol. 37 No. 2 (2006)
Section
Papers
Author Biographies

Su-Ling Zhang

Department of Basic Courses, Jiaozuo University, Jiaozuo City, Henan 454003, China.

Chao-Ping Chen

Department of Applied Mathematics and Informatics, Research Institute of Applied Mathematics, Henan Polytechnic University, #142, Mid-Jiefang Road, Jiaozuo City, Henan 454000, China.

Feng Qi

Department of Applied Mathematics and Informatics, Research Institute of Applied Mathematics, Henan Polytechnic University, #142, Mid-Jiefang Road, Jiaozuo City, Henan 454000, China.

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