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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 17, Pages 2757-2768
doi:10.1155/IJMMS.2005.2757

Best approximations for the Laguerre-type Weierstrass transform on [0,∞[×ℝ

E. Jebbari and F. Soltani

Department of Mathematics, Faculty of Sciences of Tunis, University of El-Manar Tunis, Tunis 2092, Tunisia

Abstract

We use reproducing kernel Hilbert spaces to give the best approximation for Laguerre-type Weierstrass transform. Estimates of extremal functions are also discussed.