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  Volume 5, Issue 1, Article 9
On Two Problems Posed by Kenneth Stolarsky

    Authors: Edward Neuman,  
    Keywords: Shape preserving approximation, Exponomials, Hyperbolic functions, Gini means, Stolarsky means, Inequalities.  
    Date Received: 23/09/03  
    Date Accepted: 23/01/04  
    Subject Codes:

Primary 41A29; Secondary 26D07.

    Editors: Kenneth B. Stolarsky,  

Solutions of two slightly more general problems than those posed by Kenneth B. Stolarsky in [10] are presented. The latter deal with a shape preserving approximation, in the uniform norm, of two functions $ (1/x) \log \cosh x$ and $ (1/x) \log (\sinh x/x)$, $ x \ge 0$, by ratios of exponomials. The main mathematical tools employed include Gini means and the Stolarski means.

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