Cauchy’s functional equation and extensions: Goldie’s equation and inequality, the Gołąb–Schinzel equation and Beurling’s equation
Bingham, N. H. & Ostaszewski, A. J.
(2015).
Cauchy’s functional equation and extensions: Goldie’s equation and inequality, the Gołąb–Schinzel equation and Beurling’s equation.
Aequationes Mathematicae,
89(5), 1293-1310.
https://doi.org/10.1007/s00010-015-0350-6
(2015).
Cauchy’s functional equation and extensions: Goldie’s equation and inequality, the Gołąb–Schinzel equation and Beurling’s equation.
Aequationes Mathematicae,
89(5), 1293-1310.
https://doi.org/10.1007/s00010-015-0350-6
The Cauchy functional equation is not only the most important single functional equation, it is also central to regular variation. Classical Karamata regular variation involves a functional equation and inequality due to Goldie; we study this, and its counterpart in Beurling regular variation, together with the related Gołąb–Schinzel equation.