Abstract
There have been some polynomial inequalities with doubling weights such as Bernstein inequality, Marcinkiewicz inequality, etc. This paper deals with weighted Nikol'skiǐ-type inequality. By using the modulus of smoothness and the best polynomial approximation as tools, a Nikol'skiǐ-type inequality with doubling weights for trigonometric polynomials is established.
| Original language | English |
|---|---|
| Pages (from-to) | 822-829 |
| Number of pages | 8 |
| Journal | Journal of Computational Analysis and Applications |
| Volume | 13 |
| Issue number | 5 |
| State | Published - 2011 |
Keywords
- Doubling weight
- Modulus of smoothness
- Nikol'skiǐ inequality
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