Newman's Inequality for Müntz Polynomials on Positive Intervals
✍ Scribed by Peter Borwein; Tamás Erdélyi
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 342 KB
- Volume
- 85
- Category
- Article
- ISSN
- 0021-9045
No coin nor oath required. For personal study only.
✦ Synopsis
The principal result of this paper is the following Markov-type inequality for Mu ntz polynomials.
Theorem (Newman's Inequality on [a, b]/(0, )). Let 4 :=(* j ) j=0 be an increasing sequence of nonnegative real numbers.
📜 SIMILAR VOLUMES
The principal result of this paper is the following Markov-type inequality for Mu ntz polynomials. Theorem (Newman's Inequality in L p [a, b] for [a, b]/(0, )). Let 4 := (\\* j ) j=0 be an increasing sequence of nonnegative real numbers. Suppose \\* 0 =0 and there exists a $>0 so that \\* j $j for e
In this paper, using the approach developed by the author in a previous paper, we deduce some bounds and inequalities for arbitrary orthogonal polynomials on finite intervals and give their various applications. 1995 Academic Press. Inc.