Inverse theorems for multidimensional Bernstein-Durrmeyer operators in Lp

Ding-Xuan Zhou

doi:10.1016/0021-9045(92)90057-U

Inverse theorems for multidimensional Bernstein-Durrmeyer operators in Lp

Ding-Xuan Zhou

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

15 Citations (Scopus)

Abstract

In this paper, we consider the multidimensional Bernstein-Durrmeyer operators in L_p (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.

Original language	English
Pages (from-to)	68-93
Journal	Journal of Approximation Theory
Volume	70
Issue number	1
DOIs	https://doi.org/10.1016/0021-9045(92)90057-U
Publication status	Published - Jul 1992
Externally published	Yes

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title = "Inverse theorems for multidimensional Bernstein-Durrmeyer operators in Lp",

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. {\textcopyright} 1992.",

author = "Ding-Xuan Zhou",

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DO - 10.1016/0021-9045(92)90057-U

M3 - RGC 21 - Publication in refereed journal

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EP - 93

JO - Journal of Approximation Theory

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Inverse theorems for multidimensional Bernstein-Durrmeyer operators in Lp

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