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The convergence of q ‐Bernstein polynomials (0 < q < 1) in the complex plane
Author(s) -
Ostrovska Sofiya
Publication year - 2009
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200610735
Subject(s) - mathematics , complex plane , analytic continuation , bernstein polynomial , convergence (economics) , generalization , limit (mathematics) , plane (geometry) , rate of convergence , analytic function , function (biology) , pure mathematics , continuation , mathematical analysis , geometry , channel (broadcasting) , engineering , evolutionary biology , computer science , electrical engineering , economics , biology , programming language , economic growth
Abstract The paper focuses at the estimates for the rate of convergence of the q ‐Bernstein polynomials (0 < q < 1) in the complex plane. In particular, a generalization of previously known results on the possibility of analytic continuation of the limit function and an elaboration of the theorem by Wang and Meng is presented (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)