Note on Alzer's inequality

Main Article Content

Chao-Ping Chen
Feng Qi

Abstract

If the sequence {ai}i=1 satisfies ai=ai+1ai<0, 2ai=(ai)=ai+22ai+1+ai0, i=0,1,2,, a0=0. Then

anan+1<(1anni=1ari/1an+1n+1i=1ari)1/r

for all natural numbers n, and all real r>0.

Article Details

How to Cite
Chen, C.-P., & Qi, F. (2006). Note on Alzer’s inequality. Tamkang Journal of Mathematics, 37(1), 11–14. https://doi.org/10.5556/j.tkjm.37.2006.175
Section
Papers
Author Biographies

Chao-Ping Chen

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

Feng Qi

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

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