Abstract

For the Jacobi-type Bernstein-Durrmeyer operator Mn,κ on the simplex T d of R d , we proved that for f ∈ L p (Wκ ; T d ) with 1 <p< ∞, K2,Φ f, n −1 κ,p ≤ cf − Mn,κ f � κ,p ≤ cK2,Φ f, n −1 κ,p + cn −1 � f � κ,p,

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