Pang, Zhaojun; Yu, Dansheng; Zhou, Ping On approximation by Bernstein-Durrmeyer-type operators in movable compact disks. (Chinese. English summary) Zbl 1463.30180 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 3, 545-555 (2020). Summary: In order to approximate analytic functions in movable compact disks, we introduce a new kind of Bernstein-Durrmeyer-type polynomials. The order of simultaneous approximation rate of the new polynomials in the movable compact disks is given. MSC: 30E10 Approximation in the complex plane 41A25 Rate of convergence, degree of approximation Keywords:complex Bernstein-Durrmeyer type operators; movable compact disks; approximation rates PDFBibTeX XMLCite \textit{Z. Pang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 3, 545--555 (2020; Zbl 1463.30180)