Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (2): 455-470.doi: 10.1016/S0252-9602(12)60029-0

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BEST APPROXIMATION FOR WEIERSTRASS TRANSFORM CONNECTED WITH SPHERICAL MEAN OPERATOR

L.T. Rachdi, N. Msehli   

  1. Département de Math´ematiques, Facult´e des Sciences de Tunis, 2092 El-Manar, Tunisia|Département de Math´ematiques et d’informatique, Institut National des Sciences Appliqu´ees et de Technologie de Tunis, 1080 Tunis, Tunisia
  • Received:2008-05-31 Online:2012-03-20 Published:2012-03-20

Abstract:

Using reproducing kernels for Hilbert spaces, we give best approximation for Weierstrass transform associated with spherical mean operator. Also, estimates of extremal functions are checked.

Key words: Weierstrass transform, spherical mean operator best approximation, repro-ducing kernel, extremal function

CLC Number: 

  • 44A15
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