Examples of Landau–Kolmogorov Inequality in Integral Norms on a Finite Interval

✍ Scribed by B. Bojanov; N. Naidenov

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 182 KB
Volume: 117
Category: Article
ISSN: 0021-9045
DOI: 10.1006/jath.2002.3687

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Some Best Constants in the Landau Inequa

Some Best Constants in the Landau Inequality on a Finite Interval

✍ Bengt-Olov Eriksson 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 408 KB

## An additive form of the Landau inequality for is proved for 0<c (cos(?Â2n)) &2 , 1 m n&1, with equality for , where T n is the Chebyshev polynomial. From this follows a sharp multiplicative inequality, For these values of \_, the result confirms Karlin's conjecture on the Landau inequality f