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  Volume 5, Issue 4, Article 107
 
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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