On Smoothness Characterized by Bernstein Type Operators

D. X. Zhou

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

32 Citations (Scopus)

Abstract

We characterize the higher orders of smoothness of functions in C[0, 1] by Bernstein polynomials and Kantorovich operators. This task is carried out by means of the rate of convergence for combinations of these operators and the behavior of their derivatives. © 1995 Academic Press. All rights reserved.
Original languageEnglish
Pages (from-to)303-315
JournalJournal of Approximation Theory
Volume81
Issue number3
DOIs
Publication statusPublished - Jun 1995
Externally publishedYes

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