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Markov- and Bernstein-Type Inequalities for Müntz Polynomials and Exponential Sums in Lp

✍ Scribed by Tamás Erdélyi

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
119 KB
Volume
104
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 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 each j. Suppose 00 does not seem to be obtainable in any straightforward fashion from the [0, b] case.

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