Articles

BEST APPROXIMATION FOR WEIERSTRASS TRANSFORM CONNECTED WITH SPHERICAL MEAN OPERATOR

  • L.T. Rachdi ,
  • N. Msehli
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  • 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 date: 2008-05-31

  Online 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.

Cite this article

L.T. Rachdi , N. Msehli . BEST APPROXIMATION FOR WEIERSTRASS TRANSFORM CONNECTED WITH SPHERICAL MEAN OPERATOR[J]. Acta mathematica scientia, Series B, 2012 , 32(2) : 455 -470 . DOI: 10.1016/S0252-9602(12)60029-0

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