𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Khinchin Inequality for Generalized Rademacher Functions

✍ Scribed by Yolanda Meléndez; Andrew Tonge

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
248 KB
Volume
202
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We give a new proof of the Khinchin inequality for the sequence
equation image
of k‐Rademacher functions:
equation image
We obtain constants which are independent of k. Although the constants are not best possible, they improve estimates of Floret and Matos [4] and they do have optimal dependence on p as p → ∞.

📜 SIMILAR VOLUMES

The Generalized Markov–Stieltjes Inequal
The Generalized Markov–Stieltjes Inequality for Birkhoff Quadrature Formulas
✍ Ying Guang Shi 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 409 KB

The generalized Markov Stieltjes inequalities for several kinds of generalized Gaussian Birkhoff quadrature formulas are given. 1996 Academic Press, Inc. (1.2) determined uniquely from being exact for all f # P 2m&1 , the space of all polynomials of degree at most 2m&1. As we know, for this Gauss

Inequalities for the Associated Legendre
Inequalities for the Associated Legendre Functions
✍ G. Lohöfer 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 260 KB

In this paper bounds for the associated Legendre functions of the first kind P m n (x) for real x # [&1, 1] and integers m, n are proved. A relation is derived that allows us to generalize known bounds of the Legendre polynomials P n (x)#P 0 n (x) for the Legendre functions P m n (x) of non-zero ord

Reflection Coefficients for the Generali
Reflection Coefficients for the Generalized Jacobi Weight Functions
✍ L.B. Golinskii 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 241 KB

In the present paper we study generalized Jacobi weight functions on the unit circle-the simplest weight functions with a finite number of algebraic singularities - and asymptotic behavior of the reflection coefficients associated with them. The real line analogues concerning the recurrence coeffici