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  Volume 10, Issue 1, Article 11
Necessary and Sufficient Conditions for Joint Lower and Upper Estimates

    Authors: Laszlo Leindler,  
    Keywords: Sequences and series, inequalities, power-monotonicity.  
    Date Received: 28/02/08  
    Date Accepted: 17/01/09  
    Subject Codes:

40A30, 40A99.

    Editors: Sever S. Dragomir,  

Necessary and sufficient conditions are given for joint lower and upper estimates of the following sums $ sum^m_1gamma_n n^{-1}$ and $ sum^infty_mgamma_n n^{-1}$. An application of the results yields necessary and sufficient conditions for a pleasant and useful lemma of Sagher.

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