Inverse theorems for multidimensional Bernstein-Durrmeyer operators in Lp

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Author(s)

  • Ding-Xuan Zhou

Detail(s)

Original languageEnglish
Pages (from-to)68-93
Journal / PublicationJournal of Approximation Theory
Volume70
Issue number1
Publication statusPublished - Jul 1992
Externally publishedYes

Abstract

In this paper, we consider the multidimensional Bernstein-Durrmeyer operators in Lp (1≤ p <∞) on a simplex. We characterize the rate of approximation by means of K-functionals and the smoothness of the functions they approximate. © 1992.