✦ LIBER ✦
A Remez-Type Inequality for Non-dense Müntz Spaces with Explicit Bound
✍ Scribed by Peter Borwein; Tamás Erdélyi
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 184 KB
- Volume
- 93
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
✦ Synopsis
Let 4 :=(* k ) k=0 be a sequence of distinct nonnegative real numbers with * 0 :=0 and k=1 1Â* k < . Let * # (0, 1) and = # (0, 1&*) be fixed. An earlier work of the authors shows that
is finite. In this paper an explicit upper bound for C(4, =, *) is given. In the special case * k :=k : , :>1, our bounds are essentially sharp. 1998 Academic Press . 1. INTRODUCTION In this paper 4 :=(* k ) k=0 always denotes a sequence of real numbers satisfying