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Some approximation properties of a Durrmeyer variant of q ‐Bernstein–Schurer operators
Author(s) -
Acu AnaMaria,
Muraru Carmen Violeta,
Sofonea Daniel Florin,
Radu Voichiţa Adriana
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3949
Subject(s) - mathematics , smoothness , bernstein polynomial , baskakov operator , rate of convergence , convergence (economics) , operator theory , type (biology) , modulus of continuity , pure mathematics , mathematical analysis , fourier integral operator , microlocal analysis , ecology , channel (broadcasting) , engineering , economic growth , electrical engineering , economics , biology
In this paper, we will propose a Durrmeyer variant of q ‐Bernstein–Schurer operators. A Bohman–Korovkin‐type approximation theorem of these operators is considered. The rate of convergence by using the first modulus of smoothness is computed. The statistical approximation of these operators is also studied. Copyright © 2016 John Wiley & Sons, Ltd.