𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Total Positivity and Convexity Preservation

✍ Scribed by Michael S. Floater

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
196 KB
Volume
96
Category
Article
ISSN
0021-9045

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper we define convexity and rational convexity preservation of systems of functions and we show that total positivity and rational convexity preservation are equivalent. We also characterize certain convexity preserving systems in terms of weak Tchebycheff systems. Curve intersections and curvatures of Be zier curves are also studied.

πŸ“œ SIMILAR VOLUMES

Total dominating functions in trees: Min
Total dominating functions in trees: Minimality and convexity
✍ E. J. Cockayne; C. M. Mynhardt; Bo Yu πŸ“‚ Article πŸ“… 1995 πŸ› John Wiley and Sons 🌐 English βš– 380 KB

## Abstract A total dominating function (TDF) of a graph __G__ = (__V, E__) is a function __f__: __V__ ← [0, 1] such that for each __v__ Ο΅ V, Ξ£~uΟ΅N(v)~ f(u) β‰₯ 1 (where __N__(__v__) denotes the set of neighbors of vertex __v__). Convex combinations of TDFs are also TDFs. However, convex combinations

The anti-Specker property, positivity, a
The anti-Specker property, positivity, and total boundedness
✍ Douglas Bridges; Hannes Diener πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 109 KB

## Abstract Working within Bishop‐style constructive mathematics, we examine some of the consequences of the anti‐Specker property, known to be equivalent to a version of Brouwer's fan theorem. The work is a contribution to constructive reverse mathematics (Β© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA,

Convexity of minimal total dominating fu
Convexity of minimal total dominating functions in graphs
✍ Yu, Bo πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 122 KB πŸ‘ 2 views

A total dominating function (TDF) of a graph G = (V, E) is a function f : V β†’ [0, 1] such that for each v ∈ V , the sum of f values over the open neighbourhood of v is at least one. Zero-one valued TDFs are precisely the characteristic functions of total dominating sets of G. We study the convexity

Total Positivity and Its Applications, M
Total Positivity and Its Applications, M.Gasca and C. A. Micchelli, Eds.
πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 115 KB

Part 2 contains five chapters, the first four of which are in parallel with the four chapters of part 1 (even with the same titles), but in the multivariate setting. The fifth chapter in part 2 deals with summability for the two-variable case using a method of Marcinkiewicz type. Several aspects of