Extensions of Regular Variation, II: Rerpresentations and Indices

DOI10.1112/plms/s3-44.3.497zbMath0486.26002OpenAlexW1994932809MaRDI QIDQ3946359

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/s3-44.3.497

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)

Beurling moving averages and approximate homomorphisms ⋮ On a subclass of regularly varying functions ⋮ On the maximal distance between two renewal epochs ⋮ Asymptotic properties of absolutely continuous functions and strong laws of large numbers for renewal processes ⋮ Probabilistic and Deterministic Averaging ⋮ Additivity, subadditivity and linearity: automatic continuity and quantifier weakening ⋮ Generic subadditive functions ⋮ Voronoi means, moving averages, and power series ⋮ A Generalization of Slowly Varying Functions ⋮ Regular variation without limits ⋮ Logarithmic moving averages ⋮ Infinite combinatorics and the foundations of regular variation ⋮ The story of majorizability as Karamata's condition of convergence for Abel summable series ⋮ Dominated variation and related concepts and Tauberian theorems for Laplace transforms

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