Extension of the operator of best polynomial approximation in Lp(Ω)
| Autor: | Hector H. Cuenya |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
Discrete mathematics
Polynomial Extension of operators Lp-norm Applied Mathematics Operator (physics) Mathematical analysis Extension (predicate logic) Space (mathematics) Measure (mathematics) Generalized polynomial Multiplication operator Best approximation Lp space Generalized polynomials Analysis Mathematics |
| Zdroj: | Journal of Mathematical Analysis and Applications. 376:565-575 |
| ISSN: | 0022-247X |
| DOI: | 10.1016/j.jmaa.2010.10.037 |
| Popis: | Let ( Ω , A , μ ) be a finite measure space. In this paper we extend the operator of the best generalized polynomial approximation from the space L p ( Ω ) to the space L p − 1 ( Ω ) , 1 p ∞ , as the unique operator preserving the property of continuity. The case p = 1 is also considered. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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