Extensions of Regular Variation, I: Uniformity and Quatifiers

DOI10.1112/plms/s3-44.3.473zbMath0486.26001OpenAlexW2070825887MaRDI QIDQ3946358

Charles M. Goldie, Nicholas H. Bingham

Publication date: 1982

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-44.3.473

zbMATH Keywords

representationsuniformityregularly varying functions of Karamata and generalizationsvariation indices

Mathematics Subject Classification ID

Monotonic functions, generalizations (26A48) Rate of growth of functions, orders of infinity, slowly varying functions (26A12)

Related Items (14)

Homomorphisms from functional equations: the Goldie equation ⋮ On a subclass of regularly varying functions ⋮ Riesz means and self-neglecting functions ⋮ On the order of functions at infinity ⋮ Category-measure duality: convexity, midpoint convexity and Berz sublinearity ⋮ Homomorphisms from Functional Equations in Probability ⋮ Cauchy's functional equation and extensions: Goldie's equation and inequality, the Gołąb-Schinzel equation and Beurling's equation ⋮ Regular variation without limits ⋮ On Valiron and circle convergence ⋮ Stable laws and Beurling kernels ⋮ General regular variation, Popa groups and quantifier weakening ⋮ Dichotomy and infinite combinatorics: the theorems of Steinhaus and Ostrowski ⋮ Infinite combinatorics and the foundations of regular variation ⋮ Beurling regular variation, Bloom dichotomy, and the Gołąb-Schinzel functional equation

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