Approximation Order for Multivariate Durrmeyer Operators with Jacobi Weights | Zendy

Jianjun Wang | Zendy; ChanYun Yang | Zendy; Shukai Duan | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Approximation Order for Multivariate Durrmeyer Operators with Jacobi Weights

Author(s) -

Jianjun Wang,

ChanYun Yang,

Shukai Duan

Publication year - 2011

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2011/970659

Subject(s) - mathematics , simplex , multivariate statistics , bernstein polynomial , equivalence (formal languages) , smoothness , inverse , pure mathematics , order (exchange) , equivalence relation , mathematical analysis , combinatorics , statistics , geometry , finance , economics

Using the equivalence relation between K-functional and modulus of smoothness, we establish a strong direct theorem and an inverse theorem of weak type for multivariate Bernstein-Durrmeyer operators with Jacobi weights on a simplex in this paper. We also obtain a characterization for multivariate Bernstein-Durrmeyer operators with Jacobi weights on a simplex. The obtained results not only generalize the corresponding ones for Bernstein-Durrmeyer operators, but also give approximation order of Bernstein-Durrmeyer operators.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research