On global smoothness preservation in complex approximation

• Autorzy: George A. Anastassiou , Sorin G. Gal
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 30E10: Approximation in the complex domain
• 41A10: Approximation by polynomials
• 41A99: None of the above, but in this section
• 41A63: Multidimensional problems (should also be assigned at least one other classification number in this section)
• 41A25: Rate of convergence, degree of approximation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2002
• Tom: 79
• Numer: 3
• Strony: 199-205

Daty

wydano

2002

Twórcy

autor

George A. Anastassiou

• Department of Mathematical Sciences, University of Memphis, Memphis, TN 38152, U.S.A.

autor

Sorin G. Gal

• Department of Mathematics, University of Oradea, Str. Armatei Romane 5, 3700 Oradea, Romania

Identyfikatory

DOI

10.4064/ap79-3-1