16 citations · 94 across the 35 of their papers we have counts for
4 papers · 2 filters
Logarithmic moving averages
N. H. Bingham, Bujar Gashi
We introduce a moving average summability method, which is proved to be equivalent with the logarithmic -method. Several equivalence and Tauberian theorems are given. A stron…
Beurling moving averages and approximate homomorphisms
N. H. Bingham, A. J. Ostaszewski
The theory of regular variation, in its Karamata and Bojanić-Karamata/de Haan forms, is long established and makes essential use of homomorphisms. Both forms are subsumed within th…
Cauchy's functional equation and extensions: Goldie's equation and inequality, the Gołąb-Schinzel equation and Beurling's equation
N. H. Bingham, A. J. Ostaszewski
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 f…
Additivity, subadditivity and linearity: automatic continuity and quantifier weakening
N. H. Bingham, A. J. Ostaszewski
We study the interplay between additivity (as in the Cauchy functional equation), subadditivity and linearity. We obtain automatic continuity results in which additive or subadditi…