Browsing by Author "Turan, M."

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Citation - WoS: 5
Citation - Scopus: 6
Bifurcation of Three-Dimensional Discontinuous Cycles
(Pergamon-elsevier Science Ltd, 2009) Akhmet, M. U.; Turan, M.
We consider three-dimensional discontinuous dynamical systems with non-fixed moments of impacts. Existence of the center manifold is proved for the system. The result is applied for the extension of the planar Hopf bifurcation theorem [M.U. Akhmet, Perturbations and Hopf bifurcation of the planar discontinuous dynamical system, Nonlinear Analysis 60 (2005) 163-178]. Illustrative examples are constructed for the theory. (C) 2009 Elsevier Ltd. All rights reserved.
Citation - WoS: 9
Citation - Scopus: 8
On the Eigenvectors of the q-bernstein Operators
(Wiley, 2014) Ostrovska, S.; Turan, M.
In this article, both the eigenvectors and the eigenvalues of the q-Bernstein operators have been studied. Explicit formulae are presented for the eigenvectors, whose limit behavior is determined both in the case 01. Because the classical case, where q=1, was investigated exhaustively by S. Cooper and S. Waldron back in 2000, the present article also discusses the related similarities and distinctions with the results in the classical case. Copyright (c) 2013 John Wiley & Sons, Ltd.