In this paper we give a unified approach to the study of the convergence of a general family of linear sampling type operators which includes several operators very useful in signal reconstruction. We study both the pointwise and uniform convergence and the modular one in the general setting of Orlicz spaces.This gives the possibility to cover many other settings such as $L^p$-spaces, the interpolation spaces, the exponential spaces and many others.
A Unifying Approach to Convergence of Linear Sampling Type Operators in Orlicz Spaces
VINTI, Gianluca;ZAMPOGNI, Luca
2011
Abstract
In this paper we give a unified approach to the study of the convergence of a general family of linear sampling type operators which includes several operators very useful in signal reconstruction. We study both the pointwise and uniform convergence and the modular one in the general setting of Orlicz spaces.This gives the possibility to cover many other settings such as $L^p$-spaces, the interpolation spaces, the exponential spaces and many others.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
