140 citations · 765 across the 48 of their papers we have counts for
52 papers
Ergodic behaviour of a Douglas-Rachford operator away from the origin
Jonathan M. Borwein, Ohad Giladi
It is shown that away from the origin, the Douglas-Rachford operator with respect to a sphere and a convex set in a Hilbert space can be approximated by a another operator which sa…
Gamma and Factorial in the Monthly
Jonathan M. Borwein, Robert M. Corless
The Monthly has published roughly fifty papers on the function or Stirling's formula. We survey those papers (discussing only our favourites in any detail) and place them in th…
Dynamics of the Douglas-Rachford Method for Ellipses and p-Spheres
Jonathan M. Borwein, Scott B. Lindstrom, Brailey Sims +2
We expand upon previous work that examined behavior of the iterated Douglas-Rachford method for a line and a circle by considering two generalizations: that of a line and an ellips…
Generalized Continued Logarithms and Related Continued Fractions
Jonathan M. Borwein, Kevin G. Hare, Jason G. Lynch
We study continued logarithms as introduced by Bill Gosper and studied by J. Borwein et. al.. After providing an overview of the type I and type II generalizations of binary contin…
Some remarks on convex analysis in topological groups
Jonathan M. Borwein, Ohad Giladi
We discuss some key results from convex analysis in the setting of topological groups and monoids. These include separation theorems, Krein-Milman type theorems, and minimax theore…
Convex analysis in groups and semigroups: a sampler
Jonathan M. Borwein, Ohad Giladi
We define convexity canonically in the setting of monoids. We show that many classical results from convex analysis hold for functions defined on such groups and semigroups, rather…