Equivalence Between K-functionals Based on Continuous Linear Transforms
| Data(s) |
20/07/2016
20/07/2016
2007
|
|---|---|
| Resumo |
2000 Mathematics Subject Classification: 46B70, 41A10, 41A25, 41A27, 41A35, 41A36, 42A10. The paper presents a method of relating two K-functionals by means of a continuous linear transform of the function. In particular, a characterization of various weighted K-functionals by unweighted fixed-step moduli of smoothness is derived. This is applied in estimating the rate of convergence of several approximation processes. Partially supported by grant No. 103/2007 of the National Science Fund of the Sofia University. |
| Identificador |
Serdica Mathematical Journal, Vol. 33, No 4, (2007), 475p-494p 1310-6600 |
| Idioma(s) |
en |
| Publicador |
Institute of Mathematics and Informatics Bulgarian Academy of Sciences |
| Palavras-Chave | #K-Functional #Modulus of Smoothness #Rate of Convergence #Best Approximation #Linear Operator |
| Tipo |
Article |
