JIPAM

Inequalities for a Sum of Exponential Functions  
 
  Authors: Faiz Ahmad,  
  Keywords: Inequality, Exponential functions, Delay equation.  
  Date Received: 13/01/04  
  Date Accepted: 31/08/04  
  Subject Codes:

26D15

  
  Editors: Peter S. Bullen,  
 
  Abstract:

We generalize the result $ min_{x>0} {{frac{e^{tau x}}{x}}}=tau e$, $ (tau>0)$, to a function in which the numerator is the sum $ sum _{i=1}^n p_i e^{tau_i x}.$ Upper and lower estimates are close to the exact result when $ {frac{min_{1leq ileq n}tau_i}{max_{1leq ileq n}tau_i}}$ is not far from unity. Computational results are given to verify the main results.;


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