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General Information
Editor-in-chief
Prof. Adrian Olaru
University Politehnica of Bucharest, Romania
I'm happy to take on the position of editor in chief of IJMO. It's a journal that shows promise of becoming a recognized journal in the area of modelling and optimization. I'll work together with the editors to help it progress.
IJMO 2013 Vol.3(4): 362-368 ISSN: 2010-3697
DOI: 10.7763/IJMO.2013.V3.299

Iterates Properties for q-Bernstein-Stancu Operators

Yali Wang and Yinying Zhou
Abstract—In 2009, Nowak introduced q-Bernstein-Stancu polynomials   , ; q Bn  f x . When  0 ,   , ; q n B f x  reduces to the well-known q-Bernstein polynomials introduced by Phillips in 1997; when q  1,   , ; q n B f x  reduces to Bernstein-Stancu polynomials introduced by Stancu in1968; when q 1and  0, we obtain classical Bernstein polynomials. This paper deals with iterates properties of q-Bernstein-Stancu operators jn  , ;  n B f q x in the case q 0,1,   0, f  0,1 , where both   n j and n  .

Index Terms—q-Bernstein-Stancu polynomials, iterates properties, uniform convergence.

q-Bernstein-Stancu polynomials, iterates properties, uniform convergence.

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Cite:Yali Wang and Yinying Zhou, "Iterates Properties for q-Bernstein-Stancu Operators," International Journal of Modeling and Optimization vol. 3, no. 4, pp. 362-368, 2013.

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