Mathematical Journal of Ibaraki University
Online ISSN : 1883-4353
Print ISSN : 1343-3636
ISSN-L : 1343-3636
An estimate for derivative of the de la Vallée Poussin mean
Kentaro Itoh, Ryozi Sakai, Noriaki Suzuki
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Keywords: de la Vallée Poussin mean, Christoffel function, weighted polynomial approximation, Freud-type weight, Erdös-type weight
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2015 Volume 47 Pages 1-18

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Abstract

The de la Vallée Poussin mean for exponential weights on (-∞, ∞) was investigated in [6]. In the present paper we discuss its derivatives. An estimate for the Christoffel function plays an important role.

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© 2015 Department of Mathematics, Faculty of Science, Ibaraki University
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