JIPAM

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,  
 
  Abstract:

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.;


This article was printed from JIPAM
http://jipam.vu.edu.au

The URL for this article is:
http://jipam.vu.edu.au/article.php?sid=361