Use of identity of A. Hurwitz for construction of a linear positive operator of approximation

By using a general algebraic identity of Adolf Hurwitz [1], which generalizes an important identity of Abel, we construct a new operator \(S_m^{(\beta_1,\ldots,\beta_m)}\) approximating the functions. A special case of this is the operator \(Q_m^\beta\) of Cheney-Sharma. We show that this new opera...

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Bibliographic Details
Main Author: Dimitrie D. Stancu
Format: Article
Language:English
Published: Publishing House of the Romanian Academy 2002-02-01
Series:Journal of Numerical Analysis and Approximation Theory
Subjects:
Online Access:https://ictp.acad.ro/jnaat/journal/article/view/714