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
✦ LIBER ✦
Markov-Type Inequalities for Products of Müntz Polynomials
✍ Scribed by Tamás Erdélyi
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 149 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0021-9045
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We examine how many of the Bernstein basis functions \(x^{k}(1-x)^{n-k}, k=\) \(0, \ldots, n\), can be omitted such that linear combinations of the remaining polynomials are still dense in the space of continuous functions. Co 1994 Academic Press. Inc.
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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.
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