Cauchy’s functional equation and extensions: Goldie’s equation and inequality, the Gołąb–Schinzel equation and Beurling’s equation

Bingham, N. H.; and Ostaszewski, A. J.ORCID logo (2015) Cauchy’s functional equation and extensions: Goldie’s equation and inequality, the Gołąb–Schinzel equation and Beurling’s equation Aequationes Mathematicae, 89 (5). pp. 1293-1310. ISSN 0001-9054
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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.
Item Type Article
Keywords regular variations,Beurling regular variation,Beurling's equation,Gołąb–Schinzel functional equation
Departments Mathematics
DOI 10.1007/s00010-015-0350-6
Date Deposited 10 Jun 2015 13:54
URI https://researchonline.lse.ac.uk/id/eprint/62284

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