Two proofs and a corrected procedure for the generalized exponential function

Sammanfattning

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).

Publicerad i

International Journal of Applied Mathematics
2020, volym: 50, nummer: 2, sidor: 279-284
Utgivare: International Association of Engineers

SLU författare

• von Rosen, Dietrich

  • Institutionen för energi och teknik, Sveriges lantbruksuniversitet
    
  • Linköpings universitet

UKÄ forskningsämne

Sannolikhetsteori och statistik

Permanent länk till denna sida (URI)

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