On exponential approximation
Applications of Mathematics, Tome 30 (1985) no. 5, pp. 321-331.
Voir la notice de l'article dans Czech Digital Mathematics Library
One has to find a real function $y(x_1,x_2,\dots ,x_n)$ of variables $x_i$, $i=1,2,\dots,x_n). If the distribution of the values has an exponential character, then it is of advantage to choose the approximation function in the form $y(x;i)=\Pi^p_{j=0}a(i^j)^{\Pi(x_1,\dots,x_n)}$ which gives better results than other functions (e.g. polynomials). In this paper 3 methods are given: 1. The least squares method adapted for the exponential behaviour of the function. 2. The cumulated values method, following the so-called King's formula. 3. The polynomial method mentioned only for comparison. A numerical example is given in which the accuracy of all the three methods is compared.
@article{10_21136_AM_1985_104160,
author = {Hu\v{t}a, Anton},
title = {On exponential approximation},
journal = {Applications of Mathematics},
pages = {321--331},
publisher = {mathdoc},
volume = {30},
number = {5},
year = {1985},
doi = {10.21136/AM.1985.104160},
mrnumber = {0806830},
zbl = {0593.41017},
language = {en},
url = {https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104160/}
}
Huťa, Anton. On exponential approximation. Applications of Mathematics, Tome 30 (1985) no. 5, pp. 321-331. doi : 10.21136/AM.1985.104160. https://geodesic-test.mathdoc.fr/articles/10.21136/AM.1985.104160/
Cité par Sources :