𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Refinement of the Discrete Wirtinger Inequality

✍ Scribed by Xin-Min Zhang

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
136 KB
Volume
200
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we obtain an improved discrete Wirtinger inequality associated with a nonlinear second order differential equation. We apply this result to prove a Bonnesen-style isoperimetric inequality for plane polygons and reinterpret the main theorem as a weighted exponential inequality.

πŸ“œ SIMILAR VOLUMES

A Refinement of Carleman's Inequality
A Refinement of Carleman's Inequality
✍ Horst Alzer πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 126 KB

We prove a new sharpening of the inequality A detailed proof of (2) as well as many related results can be found in [3].

A refinement of Vietoris' inequality for
A refinement of Vietoris' inequality for sine polynomials
✍ Horst Alzer; Stamatis Koumandos; Martin Lamprecht πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 90 KB

## Abstract Let equation image where equation image In 1958, Vietoris proved that __Οƒ~n~__ (__x__) is positive for all __n__ β‰₯ 1 and __x__ ∈ (0, __Ο€__). We establish the following refinement. The inequalities equation image hold for all natural numbers __n__ and real numbers __n__ β‰₯ 1 and __x

On the discrete core of quadrilateral me
On the discrete core of quadrilateral mesh refinement
✍ Matthias MΓΌller-Hannemann; Karsten Weihe πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 789 KB

We present a new approach to quadrilateral mesh reΓΏnement, which reduces the problem to its structural core. The resulting problem formulation belongs to a class of discrete problems, network-ow problems, which has been thoroughly investigated and is well understood. The network-ow model is exible