Uniqueness for monotone reciprocals

General uniqueness and monotone iterative technique for fractional differential equations

In this paper, the general existence and uniqueness result is proved which exhibits the idea of comparison principle. This result is also valid for fractional differential equations in a Banach space. The well-known monotone iterative technique is then extended for fractional differential equations which provides computable monotone sequences that converge to the extremal solutions in a sector ...

Uniqueness of the maximum likelihood estimator for k-monotone densities

We prove uniqueness of the maximum likelihood estimator for the class of k−monotone densities. AMS 2000 subject classifications: Primary 62G07.

On Uniqueness of Conjugacy of Continuous and Piecewise Monotone Functions

Let I a, b , J c, d be closed, bounded, and nondegenerate i.e., neither of them consists of a single point real intervals, and let f : I → I, F : J → J be continuous functions. The aim of this paper is to discuss, under some additional assumptions on the maps f and F, the problem of topological conjugacy of f and F. More precisely, we investigate the existence and uniqueness of solutions φ : I ...

Existence and Uniqueness of Monotone Measure - Preserving Maps

Integer division using reciprocals

As logic density increases, more and more functionality is moving into hardware. Several years ago, it was uncommon to nd more than minimal support in a processor for integer multiplication and division. Now, several processors have multipliers included within the central processing unit on one integrated circuit [8, 12]. Integer division, due to its iterative nature, bene ts much less when imp...