Geodesic
Korovkin-type theorems for almost periodic measures
Silvia-Otilia Corduneanu1
1 Department of Mathematics Gh. Asachi Technical University, Iaşi Bd. Copou 11 6600 Iaşi, Romania
Colloquium Mathematicum, Tome 93 (2002) no. 2, pp. 277-284.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Some Korovkin-type theorems for spaces containing almost periodic measures are presented. We prove that some sets of almost periodic measures are test sets for some particular nets of positive linear operators on spaces containing almost periodic measures. We consider spaces which contain almost periodic measures defined by densities and measures which can be represented as the convolution between an arbitrary measure with finite support (or an arbitrary bounded measure) and a fixed almost periodic measure. We also give a Korovkin-type result for the space of almost periodic measures; in this case the net of linear operators has a certain contraction property.
DOI : 10.4064/cm93-2-7
Keywords: korovkin type theorems spaces containing almost periodic measures presented prove sets almost periodic measures test sets particular nets positive linear operators spaces containing almost periodic measures consider spaces which contain almost periodic measures defined densities measures which represented convolution between arbitrary measure finite support arbitrary bounded measure fixed almost periodic measure korovkin type result space almost periodic measures net linear operators has certain contraction property

Silvia-Otilia Corduneanu 1

1 Department of Mathematics Gh. Asachi Technical University, Iaşi Bd. Copou 11 6600 Iaşi, Romania 
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Silvia-Otilia Corduneanu. Korovkin-type theorems for
 almost periodic measures. Colloquium Mathematicum, Tome 93 (2002) no. 2, pp. 277-284. doi : 10.4064/cm93-2-7. http://geodesic.mathdoc.fr/articles/10.4064/cm93-2-7/

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