R. K. Murton

Scales in K(R)

In this paper, we shall extend the fine-structural analysis of scales in L(R) ([7]) and L(μ,R) ([1]) to models of the form L( ~ E,R), constructed over the reals from a coherent sequence ~ E of extenders. We shall show that in the natural hierarchy in an iterable model of the form L( ~ E,R) satisfying AD , the appearance of scales on sets of reals not previously admitting a scale is tied to the ...

K-convexity in R

We generalize the concept of K-convexity to an n-dimensional Euclidean space. The resulting concept of K-convexity is useful in addressing production and inventory problems where there are individual product setup costs and/or joint setup costs. We derive some basic properties of K-convex functions. We use the concept to derive the optimal policy in a deterministic case of two products with a j...

R . K . Hogberg

Parhi , K . K . , Chassaing , R . , Bitler , B .

Reducibility in a R ( K ) , C R ( K ) and a ( K )

Let K denote a compact real symmetric subset of C and let AR(K) denote the real Banach algebra of all real symmetric continuous functions on K which are analytic in the interior K of K, endowed with the supremum norm. We characterize all unimodular pairs (f, g) in AR(K) 2 which are reducible. In addition, for an arbitrary compact K in C, we give a new proof (not relying on Banach algebra theory...