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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


Markov- and Bernstein-Type Inequalities
✍ Tamás Erdélyi 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 119 KB

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

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✍ Y.G. Shi 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 296 KB

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.