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Many results about statistical convergence in a general setting can be derived by consideration of the convergence free space of null sequences and its related cofilter and filter. We derive algebraic and order properties, preservation under uniform convergence, Cauchy properties, and properties of cluster points. We also show that for certain types of… (More)

- William H. Ruckle, Robert Fennell, Paul T. Holmes, Charles Fennemore
- Operations Research
- 1976

- William H. Ruckle
- Operations Research
- 1981

- William H. Ruckle
- Operations Research
- 1992

- Kensaku Kikuta, William H. Ruckle
- European Journal of Operational Research
- 2007

- William H. Ruckle, John R. Reay
- Operations Research
- 1981

- William H. Ruckle
- Math. Oper. Res.
- 1982

Let C be a field of subsets of a set I. It is well known that the space FA of all the finitely additive games of bounded variation on C is the norm dual of the space of all simple functions on C. In this paper we prove that the space BV of all the games of bounded variation on C is the norm dual of the space of all simple games on C. This result is… (More)

- Kensaku Kikuta, William H. Ruckle
- European Journal of Operational Research
- 2010

−In a rendezvous problem on a discrete line two players are placed at points on the line. At each moment of time each player can move to an adjacent point or remain at the point at which it stands. The goal is for both players to reach the same point in the least expected time time. This paper contains results that refer to both general and specific… (More)