Geodesic
On global smoothness preservation in complex approximation
George A. Anastassiou1 ; Sorin G. Gal2
1 Department of Mathematical Sciences University of Memphis Memphis, TN 38152, U.S.A.
2 Department of Mathematics University of Oradea Str. Armatei Romane 5 3700 Oradea, Romania
Annales Polonici Mathematici, Tome 79 (2002) no. 3, pp. 199-205

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

By using the properties of convergence and global smoothness preservation of multivariate Weierstrass singular integrals, we establish multivariate complex Carleman type approximation results with rates. Here the approximants fulfill the global smoothness preservation property. Furthermore Mergelyan's theorem for the unit disc is strengthened by proving the global smoothness preservation property.
DOI : 10.4064/ap79-3-1
Keywords: using properties convergence global smoothness preservation multivariate weierstrass singular integrals establish multivariate complex carleman type approximation results rates here approximants fulfill global smoothness preservation property furthermore mergelyans theorem unit disc strengthened proving global smoothness preservation property

George A. Anastassiou 1 ; Sorin G. Gal 2

1 Department of Mathematical Sciences University of Memphis Memphis, TN 38152, U.S.A.
2 Department of Mathematics University of Oradea Str. Armatei Romane 5 3700 Oradea, Romania 
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George A. Anastassiou; Sorin G. Gal. On global smoothness preservation
 in complex approximation. Annales Polonici Mathematici, Tome 79 (2002) no. 3, pp. 199-205. doi: 10.4064/ap79-3-1

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