𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Chebyshev's inequality for sequences

✍ Scribed by Gh. Toader

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
227 KB
Volume
161
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis

We give improved versions of Chebyshev's inequality for star-shaped sequencesi Valid • also for convex sequences.

📜 SIMILAR VOLUMES

An inequality for degree sequences
An inequality for degree sequences
✍ L.A. Székely; L.H. Clark; R.C. Entringer 📂 Article 📅 1992 🏛 Elsevier Science 🌐 English ⚖ 420 KB
Markov Inequalities for Weight Functions
Markov Inequalities for Weight Functions of Chebyshev Type
✍ D.K. Dimitrov 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 159 KB

Denote by \(\eta_{i}=\cos (i \pi / n), i=0, \ldots, n\) the extreme points of the Chebyshev polynomial \(T_{n}(x)=\cos (n \operatorname{arc} \cos x)\). Let \(\pi_{n}\) be the set of real algebraic polynomials of degree not exceeding \(n\), and let \(B_{n}\) be the unit ball in the space \(\pi_{n}\)