The characterization of the derivatives for linear combinations of Post-Widder operators in L-p

Authors
Citation
S. Li et Rt. Wang, The characterization of the derivatives for linear combinations of Post-Widder operators in L-p, J APPROX TH, 97(2), 1999, pp. 240-253
Citations number
7
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF APPROXIMATION THEORY
ISSN journal
00219045 → ACNP
Volume
97
Issue
2
Year of publication
1999
Pages
240 - 253
Database
ISI
SICI code
0021-9045(199904)97:2<240:TCOTDF>2.0.ZU;2-Q
Abstract
The aim of the paper is to characterize the global rate of approximation of derivatives f((1)) through corresponding derivatives of linear combination s of Post-Widder operators in an appropriate weighted L-p-metric using a we ighted Ditzian and Totik modulus of smoothness, and also to characterize de rivatives of these operators in Besov spaces of Ditzian-Totik type. (C) 199 9 Academic Press.