On convergence of a kind of complex nonlinear Bernstein operators
Keywords:
Nonlinear Bernstein operators, Lipschitz condition, Voronovskaja-type result, compact disks.Abstract
The present article deals with the approximation properties and Voronovskaja type results with quantitative estimates for a certain class of com- plex nonlinear Bernstein operators (NBnf) of the form ... attached to analytic functions on compact disks.
Mathematics Subject Classification (2010): 41A35, 41A25, 47G10.
References
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Gal, S.G., Voronovskaja's theorem and iterations for complex Bernstein polynomials in compact disks, Mediter. J. Math., 5, no. 3, 253-272.
Karsli, H., Tiryaki, I.U., Altin, H.E., Some approximation properties of a certain nonlinear Bernstein operators, Filomat, 28(2014), 1295-1305.
Lorentz, G.G., Bernstein Polynomials, University of Toronto Press, Toronto, 1953.
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