Some estimates of action constants and related parameters

✍ Scribed by B.L. Chalmers; B. Shekhtman

• Book ID: 104351846
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 416 KB
• Volume: 40
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/s0898-1221(00)00141-3

✦ Synopsis

In this paper, we continue investigation of an action constant )~A(V) introduced in [1-3]. In particular, we show that, if n is the dimension of V, then )~A(V) ~ p(A)v/'n, which is the generalization of the well-known estimate .~I(V) <_ v"n. We then proceed to compare the estimates for .XA(V) and ,kI(V ) for a variety of two-dimensional spaces. These estimates are obtained with the extensive use of computer interaction.