Two proofs and a corrected procedure for the generalized exponential function

Abstract

In a previous article we developed the generalized exponential function as a new growth function. Here we complement that article in three ways: It is proven that any three points of quantities q3 > q2 > q1 at times t3 > t2 > t1 can be connected with a single generalized exponential function. We also prove that any two real quantities of logarithmic relative growth, yi at time ti and yi+1 at time ti+1 , can be connected with the generalized exponential function. Finally, we provide a corrected procedure for the generalized exponential function to convert a sequence of data points yi(ti) into a segmented continuous curve q(t).

Published in

International Journal of Applied Mathematics
2020, volume: 50, number: 2, pages: 279-284
Publisher: International Association of Engineers

SLU Authors

• von Rosen, Dietrich

  • Department of Energy and Technology, Swedish University of Agricultural Sciences
    
  • Linköping University

UKÄ Subject classification

Probability Theory and Statistics

Permanent link to this page (URI)

https://res.slu.se/id/publ/129873