On the Approximation by Convolution Operators in Homogeneous Banach Spaces of Periodic Functions
| Data(s) |
21/07/2016
21/07/2016
2011
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| Resumo |
AMS Subject Classification 2010: 41A25, 41A27, 41A35, 41A36, 41A40, 42Al6, 42A85. The paper is concerned with establishing direct estimates for convolution operators on homogeneous Banach spaces of periodic functions by means of appropriately defined Kfunctional. The differential operator in the K-functional is defined by means of strong limit and described explicitly in terms of its Fourier coefficients. The description is simple and independent of the homogeneous Banach space. Saturation of such operators is also considered. |
| Identificador |
Mathematica Balkanica New Series, Vol. 25, Fasc 1-2 (2011), 39p-59p 0205-3217 |
| Idioma(s) |
en |
| Publicador |
Bulgarian Academy of Sciences - National Committee for Mathematics |
| Palavras-Chave | #Convolution operator #singular integral #rate of convergence #degree of approximation #K-functional #homogeneous Banach space of periodic functions #Fourier transform |
| Tipo |
Article |
