Higher order limit  q ‐Bernstein operators | Zendy

Mahmudov N. I. | Zendy

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Higher order limit q ‐Bernstein operators

Author(s) -

Mahmudov N. I.

Publication year - 2011

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.1469

Subject(s) - mathematics , bernstein polynomial , limit (mathematics) , baskakov operator , generalization , order (exchange) , operator theory , moment (physics) , pure mathematics , spectral theorem , microlocal analysis , mathematical analysis , fourier integral operator , algebra over a field , quantum mechanics , physics , finance , economics

In this paper we give the estimates of the central moments for the limit q ‐Bernstein operators. We introduce the higher order generalization of the limit q ‐Bernstein operators and using the moment estimations study the approximation properties of these newly defined operators. It is shown that the higher order limit q ‐Bernstein operators faster than the q ‐Bernstein operators for the smooth functions defined on [0, 1]. Copyright © 2011 John Wiley & Sons, Ltd.

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