Note on Alzer's inequality
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Abstract
If the sequence {ai}∞i=1 satisfies △ai=ai+1−ai<0, △2ai=△(△ai)=ai+2−2ai+1+ai⩾0, i=0,1,2,…, a0=0. Then
anan+1<(1ann∑i=1ari/1an+1n+1∑i=1ari)1/r
for all natural numbers n, and all real r>0.
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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
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