Let \(W:=e^{-Q}\) where \(Q\) is even, sufficiently smooth, and of faster than polynomial growth at infinity. Such a function \(W\) is often called an Erdös weight. In this paper we prove Nikolskii inequalities for Erdös weights. We also motivate the usefulness of, and prove a Bernstein inequality o
Relation between bernstein- and Nikolskii-type inequalities
✍ Scribed by Nguyen Xuan Ky
- Publisher
- Akadmiai Kiad
- Year
- 1995
- Tongue
- English
- Weight
- 406 KB
- Volume
- 69
- Category
- Article
- ISSN
- 1588-2632
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## Abstract By using Bernstein‐type inequality we define analogs of spaces of entire functions of exponential type in __L~p~__ (__X__), 1 ≤ __p__ ≤ ∞, where __X__ is a symmetric space of non‐compact. We give estimates of __L~p~__ ‐norms, 1 ≤ __p__ ≤ ∞, of such functions (the Nikolskii‐type inequali
In this work, by introducing some parameters and estimating the weight coefficient, a new inequality with a best constant factor is established, which is a relation between Hilbert's inequality and a Hilbert-type inequality. As applications, the reverse form and some particular results are considere